CN112974871B - Ultrasonic amplitude transformer numerical control correction structure considering local structure and correction method thereof - Google Patents

Ultrasonic amplitude transformer numerical control correction structure considering local structure and correction method thereof Download PDF

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CN112974871B
CN112974871B CN202110168718.1A CN202110168718A CN112974871B CN 112974871 B CN112974871 B CN 112974871B CN 202110168718 A CN202110168718 A CN 202110168718A CN 112974871 B CN112974871 B CN 112974871B
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correction
numerical control
horn
tool head
ultrasonic horn
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段宇辉
叶红仙
胡小平
于保华
杨帆
饶忠于
刘欣
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Hangzhou Dianzi University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23BTURNING; BORING
    • B23B25/00Accessories or auxiliary equipment for turning-machines
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23QDETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
    • B23Q1/00Members which are comprised in the general build-up of a form of machine, particularly relatively large fixed members
    • B23Q1/70Stationary or movable members for carrying working-spindles for attachment of tools or work
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23QDETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
    • B23Q17/00Arrangements for observing, indicating or measuring on machine tools
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23QDETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
    • B23Q17/00Arrangements for observing, indicating or measuring on machine tools
    • B23Q17/12Arrangements for observing, indicating or measuring on machine tools for indicating or measuring vibration

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Abstract

An ultrasonic amplitude transformer numerical control correction structure considering a local structure and a correction method thereof are provided, the numerical control correction structure is suitable for a numerical control lathe and comprises an acoustic vibration component, a special fixture, a conductive slip ring, an impedance analyzer and a PC end, the acoustic vibration component is fixed on a three-jaw chuck through the special fixture, the conductive slip ring is arranged on a left end hollow main shaft of the numerical control lathe, the impedance analyzer is connected with an ultrasonic transducer through the conductive slip ring, the PC end is connected with the impedance analyzer and a numerical control system of the numerical control lathe, the disassembly-free correction of the acoustic vibration component is realized by clamping a flange of the ultrasonic transducer for fixing, the acoustic performance parameters are detected in real time through the use of the conductive slip ring, the influence of the local structure is considered, the precision of a correction model is greatly improved, the correction size calculated by the correction model is corrected, not only the resonance frequency is corrected, but also a displacement node is corrected, not only can independently correct the ultrasonic horn, but also is applicable to the ultrasonic horn with a tool head.

Description

一种考虑局部结构的超声变幅杆数控修正结构及其修正方法A Numerically Controlled Correction Structure of Ultrasonic Amplifier Considering Local Structure and Its Correction Method

技术领域technical field

本发明属于超声加工技术领域,具体涉及一种考虑局部结构的超声变幅杆数控修正结构及其修正方法。The invention belongs to the technical field of ultrasonic machining, and in particular relates to an ultrasonic horn numerically controlled correction structure and a correction method thereof considering local structures.

背景技术Background technique

Nomex蜂窝复合材料是航空、航天、导弹制造领域的一种重要材料,具有重量轻、密度小、比强度高,自熄性好、绝缘性能和化学特性优良等特点。传统加工方法使NOMEX蜂窝的蜂格会出现变形、塌陷、撕裂拉毛等质量缺陷;针对Nomex蜂窝传统加工存在的诸多问题,一种融合超声加工技术与数控加工技术的超声辅助切割加工技术的出现完美的解决了这些问题。Nomex honeycomb composite material is an important material in the fields of aviation, aerospace and missile manufacturing. It has the characteristics of light weight, low density, high specific strength, good self-extinguishing property, excellent insulating properties and chemical properties. The traditional processing method makes the honeycomb of NOMEX honeycomb have quality defects such as deformation, collapse, tearing and pulling. In view of the many problems existing in the traditional processing of Nomex honeycomb, an ultrasonic-assisted cutting technology that integrates ultrasonic machining technology and CNC machining technology emerges. It perfectly solves these problems.

超声加工系统一般由超声波发生器和声学振动组件(换能器、变幅杆、工具头)组成。在整个超声加工系统中,超声电源提供高频的电能经换能器转化成高频机械振动传递给变幅杆使振幅放大,大振幅的工具头对材料进行加工。在实际的应用中,装配、局部结构、材料不均匀性和泊松效应的影响,理论设计的超声变幅杆的实际谐振频率远低于工作频率、位移节点偏离法兰,造成电源不匹配、法兰处振动过大,工具头振幅达不到要求等问题。为使制造的超声变幅杆的性能参数达到设计要求,一般对超声变幅杆的结构尺寸进行修正。Ultrasonic machining systems generally consist of ultrasonic generators and acoustic vibration components (transducers, horns, tool heads). In the whole ultrasonic machining system, the ultrasonic power supply provides high-frequency electrical energy, which is converted into high-frequency mechanical vibration by the transducer and transmitted to the horn to amplify the amplitude, and the large-amplitude tool head processes the material. In practical applications, due to the influence of assembly, local structure, material inhomogeneity and Poisson effect, the actual resonant frequency of the theoretically designed ultrasonic horn is much lower than the working frequency, and the displacement nodes deviate from the flange, resulting in power mismatch, method The vibration of the flange is too large, and the amplitude of the tool head does not meet the requirements. In order to make the performance parameters of the manufactured ultrasonic horn meet the design requirements, the structural dimensions of the ultrasonic horn are generally revised.

传统的超声变幅杆修正方法通过试修法进行修正,需要多次装夹实现超声变幅杆的前端和后端尺寸的加工,并需要多次试切和检测才能达到设计要求。在试修过程中需要不断装拆超声变幅杆进行加工和检测,修正效率低,精度低,同时,会产生节点偏离法兰的距离不可控问题,造成法兰的位置和超声变幅杆的节点发生偏离,法兰处振动过大。The traditional ultrasonic horn correction method is corrected by the trial repair method, which requires multiple clamping to realize the processing of the front and rear ends of the ultrasonic horn, and requires many trial cuts and inspections to meet the design requirements. During the trial repair process, it is necessary to continuously install and disassemble the ultrasonic horn for processing and testing, the correction efficiency is low, and the accuracy is low. The nodes are deviated and the vibration at the flange is too large.

发明内容SUMMARY OF THE INVENTION

针对以上不足,本发明所要解决的技术问题是提供一种考虑局部结构的超声变幅杆数控修正结构及其修正方法,用于解决超声变幅杆谐振频率与设计值误差大、位移节点偏离法兰位置,而造成的声学振动组件无法正常工作等问题。提出了一种考虑局部结构的超声变幅杆数控修正方法,不仅可以修正谐振频率而且可以修正法兰节点的位置。In view of the above deficiencies, the technical problem to be solved by the present invention is to provide an ultrasonic horn numerically controlled correction structure and its correction method considering the local structure, which are used to solve the large error between the resonance frequency of the ultrasonic horn and the design value, and the displacement node deviation method. Blue position, and the resulting acoustic vibration components can not work properly. A numerically controlled correction method for ultrasonic horns considering the local structure is proposed, which can not only correct the resonance frequency but also correct the position of the flange node.

为解决以上技术问题,本发明采用的技术方案是,In order to solve the above technical problems, the technical scheme adopted in the present invention is,

一种考虑局部结构的超声变幅杆数控修正结构,所述数控修正结构适用于数控车床,包括声学振动组件、专用夹具、导电滑环、阻抗分析仪和PC端,声学振动组件通过专用夹具固定在数控车床的三爪卡盘上,导电滑环安装在数控车床左端空心主轴上,阻抗分析仪通过导电滑环连接超声换能器,PC端与阻抗分析仪、数控车床的数控系统连接。An ultrasonic horn numerical control correction structure considering the local structure, the numerical control correction structure is suitable for numerical control lathes, and includes an acoustic vibration component, a special fixture, a conductive slip ring, an impedance analyzer and a PC terminal, and the acoustic vibration component is fixed by a special fixture On the three-jaw chuck of the CNC lathe, the conductive slip ring is installed on the hollow spindle at the left end of the CNC lathe, the impedance analyzer is connected to the ultrasonic transducer through the conductive slip ring, and the PC end is connected to the impedance analyzer and the CNC system of the CNC lathe.

进一步的,声学振动组件包括超声换能器和超声变幅杆,超声变幅杆安装在超声换能器上,导电滑环安装在数控车床左端空心主轴上,以使阻抗分析仪通过导电滑环获取超声变幅杆的谐振频率。Further, the acoustic vibration component includes an ultrasonic transducer and an ultrasonic horn, the ultrasonic horn is installed on the ultrasonic transducer, and the conductive slip ring is installed on the hollow spindle at the left end of the CNC lathe, so that the impedance analyzer passes through the conductive slip ring. Obtain the resonant frequency of the ultrasonic horn.

进一步的,超声变幅杆包括变幅杆主体、连接螺钉和工具头,连接螺钉、工具头分别固定连接在变幅杆主体的两侧端面上。Further, the ultrasonic horn includes a horn main body, a connecting screw and a tool head, and the connecting screw and the tool head are respectively fixed and connected on both side end surfaces of the horn main body.

上述考虑局部结构的超声变幅杆数控修正结构的修正方法,包括以下步骤,The above-mentioned correction method for the numerical control correction structure of the ultrasonic horn considering the local structure includes the following steps:

(1)组装声学振动组件;(1) Assemble the acoustic vibration components;

(2)将声学振动组件通过专用夹具固定在数控车床的三爪卡盘上;(2) Fix the acoustic vibration component on the three-jaw chuck of the CNC lathe through a special fixture;

(3)安装导电滑环,将阻抗分析仪通过导电滑环与超声换能器连接;(3) Install the conductive slip ring, and connect the impedance analyzer to the ultrasonic transducer through the conductive slip ring;

(4)PC端控制阻抗分析仪实现谐振频率的测量,根据所得测量值计算修正余量并进行修正程序的生成;(4) The PC-side controlled impedance analyzer realizes the measurement of the resonant frequency, calculates the correction margin according to the obtained measurement value and generates the correction program;

(5)PC端给数控车床的数控系统传递数控编程,实现余量的修正。(5) The PC terminal transmits the numerical control programming to the numerical control system of the numerical control lathe to realize the correction of the allowance.

进一步的,步骤(4)包括无工具头修正法和有工具头修正法。Further, step (4) includes a correction method without a tool head and a correction method with a tool head.

进一步的,无工具头修正法包括以下步骤,Further, the toolless head correction method includes the following steps,

(4.1.1)将无工具头的超声变幅杆与超声换能器有效连接,通过阻抗分析仪获取超声变幅杆的谐振频率,通过变幅杆的频率方程可推出实际等效声速的计算模型,获得等效声速,对声速进行修正;(4.1.1) Effectively connect the ultrasonic horn without the tool head to the ultrasonic transducer, obtain the resonance frequency of the ultrasonic horn through the impedance analyzer, and calculate the actual equivalent sound speed through the frequency equation of the horn. model, obtain the equivalent sound speed, and correct the sound speed;

(4.1.2)将等效声速代入性能参数计算模型,建立修正模型,以放大倍数不变为目标函数,以目标谐振频率、节点位置为约束,经SQP优化算法确定修调几何尺寸;(4.1.2) Substitute the equivalent sound speed into the performance parameter calculation model, establish a correction model, take the constant magnification as the objective function, and take the target resonant frequency and node position as the constraints, and determine the modified geometric size through the SQP optimization algorithm;

(4.1.3)进行数控编程导入数控机床,进行余量加工,实现变幅杆性能参数的修正。(4.1.3) Carry out numerical control programming and import it into the numerical control machine tool, carry out allowance processing, and realize the correction of the performance parameters of the horn.

进一步的,有工具头修正法包括以下步骤,Further, the tool head correction method includes the following steps,

(4.2.1)先测未安装工具头情况下的谐振频率,记谐振频率1后,求得等效声速进行声速修正;然后连接工具头,测得谐振频率2,将谐振频率2与等效声速代入有工具头的谐振频率方程,确定工具头的等效半径;(4.2.1) First measure the resonant frequency without the tool head installed, record the resonant frequency 1, then obtain the equivalent sound speed to correct the sound speed; then connect the tool head, measure the resonant frequency 2, and compare the resonant frequency 2 with the equivalent sound speed The sound velocity is substituted into the resonance frequency equation of the tool head to determine the equivalent radius of the tool head;

(4.2.2)将等效声速、工具头等效半径代入机械四端网络模型,确定性能参数计算模型,建立修正模型,以放大倍数不变为目标函数,以目标谐振频率、节点位置固定在法兰的中点为约束,经SQP优化算法确定修调几何尺寸;(4.2.2) Substitute the equivalent sound velocity and the equivalent radius of the tool head into the mechanical four-terminal network model, determine the performance parameter calculation model, and establish a correction model. The midpoint of the blue is a constraint, and the trimming geometric size is determined by the SQP optimization algorithm;

(4.2.3)拆下工具头,进行数控编程导入数控机床,实现余量加工,实现变幅杆性能参数的修正。(4.2.3) Remove the tool head, carry out numerical control programming and import it into the numerical control machine tool, realize the machining of allowances, and realize the correction of the performance parameters of the horn.

进一步的,SQP优化算法利用超声变幅杆的计算模型建立,以放大倍数修正前后差值最小为目标函数,以谐振频率为目标频率、位移节点落在法兰中点为约束条件。Further, the SQP optimization algorithm is established by using the calculation model of the ultrasonic horn. The objective function is to take the minimum difference before and after the magnification correction as the objective function, the resonant frequency as the target frequency, and the displacement node at the midpoint of the flange as the constraint condition.

进一步的,超声变幅杆的参数计算模型为:

Figure BDA0002938210440000031
Further, the parameter calculation model of the ultrasonic horn is:
Figure BDA0002938210440000031

进一步的,目标频率F代入:

Figure BDA0002938210440000032
Further, the target frequency F is substituted into:
Figure BDA0002938210440000032

目标函数:

Figure BDA0002938210440000033
Objective function:
Figure BDA0002938210440000033

约束条件:

Figure BDA0002938210440000034
Restrictions:
Figure BDA0002938210440000034

本发明的有益效果是,(1)通过夹持超声换能器的法兰盘以固定,实现声学振动组件的免拆卸修正。The beneficial effects of the present invention are that (1) by clamping the flange of the ultrasonic transducer to fix it, the disassembly-free correction of the acoustic vibration component is realized.

(2)通过导电滑环的使用,实现声学性能参数实时检测。(2) Real-time detection of acoustic performance parameters is realized through the use of conductive slip rings.

(3)考虑局部结构的影响,使修正模型的精度大大提高。(3) Considering the influence of local structure, the accuracy of the correction model is greatly improved.

(4)经修正模型计算的修正尺寸,不仅谐振频率得到了修正,位移节点也得到修正。(4) The corrected size calculated by the corrected model, not only the resonant frequency but also the displacement node is corrected.

(5)不仅可以单独修正超声变幅杆,而且对带工具头的超声变幅杆同样适用。(5) Not only can the ultrasonic horn be corrected alone, but also applicable to the ultrasonic horn with a tool head.

(6)利用SQP优化算法,大大提高了计算模型的计算速度与准确度。(6) Using the SQP optimization algorithm, the calculation speed and accuracy of the calculation model are greatly improved.

附图说明Description of drawings

图1是本发明的超声变幅杆的数控修正系统框图。Fig. 1 is a block diagram of the numerical control correction system of the ultrasonic horn of the present invention.

图2是本发明的超声变幅杆的修正系统流程图。Fig. 2 is a flow chart of the correction system of the ultrasonic horn of the present invention.

图3是本发明的考虑局部结构的带工具头圆锥形超声变幅杆的示意图。FIG. 3 is a schematic diagram of a conical ultrasonic horn with a tool head considering the local structure of the present invention.

图4是超声变幅杆去除工具头状态下的等效声速及谐振频率的模型图。FIG. 4 is a model diagram of the equivalent sound velocity and the resonant frequency when the ultrasonic horn is removed from the tool head.

图5是超声变幅杆安装工具头状态下的工具头等效半径及谐振频率的模型图。FIG. 5 is a model diagram of the equivalent radius and resonance frequency of the tool head when the ultrasonic horn is installed with the tool head.

图6是本发明的位移节点和放大倍数的模型图。Figure 6 is a model diagram of displacement nodes and magnifications of the present invention.

图7是图6的部分截取图。FIG. 7 is a partial cutaway view of FIG. 6 .

具体实施方式Detailed ways

下面结合附图对本发明进行进一步描述。The present invention will be further described below with reference to the accompanying drawings.

如图1所示,一种考虑局部结构的超声变幅杆数控修正结构,所述数控修正结构适用于数控车床3,包括声学振动组件1、专用夹具2、导电滑环4、阻抗分析仪5和PC端6,声学振动组件1通过专用夹具2固定在数控车床的三爪卡盘9上,导电滑环4安装在数控车床3左端空心主轴上,阻抗分析仪5通过导电滑环4连接超声换能器8,PC端6与阻抗分析仪5、数控车床的数控系统10连接。As shown in FIG. 1 , a numerical control correction structure of ultrasonic horn considering the local structure, the numerical control correction structure is suitable for numerical control lathe 3, including acoustic vibration component 1, special fixture 2, conductive slip ring 4, impedance analyzer 5 and PC terminal 6, the acoustic vibration component 1 is fixed on the three-jaw chuck 9 of the CNC lathe through the special fixture 2, the conductive slip ring 4 is installed on the hollow spindle at the left end of the CNC lathe 3, and the impedance analyzer 5 is connected to the ultrasonic through the conductive slip ring 4. The transducer 8 and the PC terminal 6 are connected to the impedance analyzer 5 and the numerical control system 10 of the numerical control lathe.

声学振动组件1包括超声换能器8和超声变幅杆7,超声变幅杆7安装在超声换能器8上,专用夹具2夹持声学振动组件1并固定在数控车床的三爪卡盘9上,导电滑环4安装在数控车床3左端空心主轴上,优选的,导电滑环4连接超声换能器8与阻抗分析仪5,以使阻抗分析仪5通过导电滑环4获取超声变幅杆7的谐振频率。The acoustic vibration assembly 1 includes an ultrasonic transducer 8 and an ultrasonic horn 7, the ultrasonic horn 7 is installed on the ultrasonic transducer 8, and the special fixture 2 clamps the acoustic vibration assembly 1 and is fixed on the three-jaw chuck of the CNC lathe 9, the conductive slip ring 4 is installed on the hollow spindle at the left end of the CNC lathe 3. Preferably, the conductive slip ring 4 is connected to the ultrasonic transducer 8 and the impedance analyzer 5, so that the impedance analyzer 5 obtains the ultrasonic transformer through the conductive slip ring 4. The resonant frequency of the horn 7.

如图3所示,超声变幅杆7包括变幅杆主体11、连接螺钉12和工具头13,连接螺钉12、工具头13分别固定连接在变幅杆主体11的两侧端面上。As shown in FIG. 3 , the ultrasonic horn 7 includes a horn body 11 , a connecting screw 12 and a tool head 13 .

上述考虑局部结构的超声变幅杆数控修正结构的修正方法,包括以下步骤,The above-mentioned correction method for the numerical control correction structure of the ultrasonic horn considering the local structure includes the following steps:

(1)组装声学振动组件;(1) Assemble the acoustic vibration components;

(2)将声学振动组件通过专用夹具固定在数控车床的三爪卡盘上;(2) Fix the acoustic vibration component on the three-jaw chuck of the CNC lathe through a special fixture;

(3)安装导电滑环,将阻抗分析仪通过导电滑环与超声换能器连接;(3) Install the conductive slip ring, and connect the impedance analyzer to the ultrasonic transducer through the conductive slip ring;

(4)PC端控制阻抗分析仪实现谐振频率的测量,根据所得测量值计算修正余量并进行修正程序的生成;(4) The PC-side controlled impedance analyzer realizes the measurement of the resonant frequency, calculates the correction margin according to the obtained measurement value and generates the correction program;

(5)PC端给数控车床系统传递数控编程实现余量的修正。(5) The PC terminal transmits the numerical control programming to the numerical control lathe system to realize the correction of the allowance.

步骤(4)包括无工具头修正法和有工具头修正法。Step (4) includes the correction method without the tool head and the correction method with the tool head.

如图2所示,无工具头修正法包括以下步骤,As shown in Figure 2, the toolless head correction method includes the following steps,

(4.1.1)将无工具头的超声变幅杆与超声换能器有效连接,通过阻抗分析仪获取超声变幅杆的谐振频率,通过变幅杆的频率方程可推出实际等效声速的计算模型,获得等效声速,对声速进行修正;(4.1.1) Effectively connect the ultrasonic horn without the tool head to the ultrasonic transducer, obtain the resonance frequency of the ultrasonic horn through the impedance analyzer, and calculate the actual equivalent sound speed through the frequency equation of the horn. model, obtain the equivalent sound speed, and correct the sound speed;

(4.1.2)将等效声速代入性能参数计算模型,建立修正模型,以放大倍数不变为目标函数,以目标谐振频率、节点位置为约束,经SQP优化算法确定修调几何尺寸;(4.1.2) Substitute the equivalent sound speed into the performance parameter calculation model, establish a correction model, take the constant magnification as the objective function, and take the target resonant frequency and node position as the constraints, and determine the modified geometric size through the SQP optimization algorithm;

(4.1.3)进行数控编程导入数控机床,进行余量加工,实现变幅杆性能参数的修正。(4.1.3) Carry out numerical control programming and import it into the numerical control machine tool, carry out allowance processing, and realize the correction of the performance parameters of the horn.

如图2所示,有工具头修正法包括以下步骤,As shown in Figure 2, the tool head correction method includes the following steps:

(4.2.1)先测未安装工具头情况下的谐振频率,记谐振频率1后,求得等效声速进行声速修正;然后安装工具头,测得谐振频率2,将谐振频率2与等效声速代入有工具头的谐振频率方程,确定工具头的等效半径;(4.2.1) First measure the resonant frequency without the tool head installed, and after recording the resonant frequency 1, obtain the equivalent sound speed to correct the sound speed; then install the tool head, measure the resonant frequency 2, and compare the resonant frequency 2 with the equivalent sound speed. The sound velocity is substituted into the resonance frequency equation of the tool head to determine the equivalent radius of the tool head;

(4.2.2)将等效声速、工具头等效半径代入机械四端网络模型,确定性能参数计算模型,建立修正模型,以放大倍数不变为目标函数,以目标谐振频率、节点位置固定在法兰的中点为约束,经SQP优化算法确定修调几何尺寸;(4.2.2) Substitute the equivalent sound velocity and the equivalent radius of the tool head into the mechanical four-terminal network model, determine the performance parameter calculation model, and establish a correction model. The midpoint of the blue is a constraint, and the trimming geometric size is determined by the SQP optimization algorithm;

(4.2.3)拆下工具头,进行数控编程导入数控机床,实现余量加工,实现变幅杆性能参数的修正。(4.2.3) Remove the tool head, carry out numerical control programming and import it into the numerical control machine tool, realize the machining of allowances, and realize the correction of the performance parameters of the horn.

如图4和5所示,本实施例提供的等效声速、等效刀具半径及谐振频率的模型图。将连接螺钉视为质量块将其等效为与变幅杆大端直径相等的一小段圆体,等效前后质量不变;将螺纹孔的部分视为空心截面端;在谐振频率计算中因法兰会使结构突变不连续、应力集中等使理论计算谐振频率偏高,固可将其忽略;将工具头等效为一段圆柱体(长度与工具头尺寸相等,直径利用计算模型求得)。As shown in FIGS. 4 and 5 , the model diagrams of the equivalent sound velocity, the equivalent tool radius and the resonant frequency provided by this embodiment. The connecting screw is regarded as a mass block, and it is equivalent to a small circle with the same diameter as the large end of the horn, and the mass remains unchanged before and after the equivalence; the part of the threaded hole is regarded as the end of the hollow section; Flanges will make the structure abrupt discontinuity, stress concentration, etc., which will make the theoretical calculation resonance frequency high, which can be ignored; the tool head is equivalent to a cylinder (the length is equal to the size of the tool head, and the diameter is obtained by the calculation model).

变幅杆等效声速的计算,由图4的模型图与超声变幅杆的结构尺寸利用四端网络与矩阵传递法,可写出未安装工具头的谐振频率1与等效声速的表达式,即圆波数的值。利用阻抗分析仪测得谐振频率1(f)可计算出等效声速。For the calculation of the equivalent sound speed of the horn, from the model diagram in Figure 4 and the structural dimensions of the ultrasonic horn, the four-terminal network and matrix transfer method can be used to write the expression of the resonant frequency 1 and the equivalent sound speed without the tool head installed , which is the value of the circular wave number. The equivalent sound speed can be calculated by measuring the resonant frequency 1(f) with an impedance analyzer.

四端网络与矩阵传递法:Four-terminal network and matrix transfer method:

Figure BDA0002938210440000061
Figure BDA0002938210440000061

Figure BDA0002938210440000062
Figure BDA0002938210440000062

式中:F1、F2分别为变幅杆始末端所受力;V1、V2分别为变幅杆始末端质点的速度;A′为图4变幅杆四端网络参数矩阵;Ai为图4变幅杆中每一段的四端网络参数矩阵;。In the formula: F 1 and F 2 are the forces at the beginning and end of the horn respectively; V 1 and V 2 are the velocities of the particles at the beginning and end of the horn respectively; A' is the network parameter matrix of the four ends of the horn in Fig. 4; A i is the four-terminal network parameter matrix of each section of the horn in Fig. 4; .

图4模型圆波数:Figure 4 Model circular wave number:

Figure BDA0002938210440000063
Figure BDA0002938210440000063

式中:r为图4变幅杆的所有半径尺寸;l为图4变幅杆的所有长度尺寸。In the formula: r is all the radial dimensions of the horn in Figure 4; l is all the length dimensions of the horn in Figure 4.

等效声速:Equivalent sound speed:

Figure BDA0002938210440000064
Figure BDA0002938210440000064

工具头等效半径的计算,由图5的模型图与超声变幅杆的结构尺寸利用四端网络与矩阵传递法,可写出带工具头的谐振频率2与工具头等效半径的表达式。利用阻抗分析仪测得谐振频率2(f’)可计算出工具头等效半径。For the calculation of the equivalent radius of the tool head, from the model diagram in Figure 5 and the structure size of the ultrasonic horn, the four-terminal network and matrix transfer method can be used to write the expression of the resonant frequency 2 with the tool head and the equivalent radius of the tool head. The equivalent radius of the tool head can be calculated by measuring the resonant frequency 2 (f') with an impedance analyzer.

四端网络与矩阵传递法:Four-terminal network and matrix transfer method:

Figure BDA0002938210440000065
Figure BDA0002938210440000065

Figure BDA0002938210440000066
Figure BDA0002938210440000066

图5模型圆波数:Figure 5 Model circular wave number:

Figure BDA0002938210440000071
Figure BDA0002938210440000071

工具头等效半径:Tool head equivalent radius:

Figure BDA0002938210440000072
Figure BDA0002938210440000072

同时,超声变幅杆的谐振频率的表达式由图5可得:At the same time, the expression of the resonance frequency of the ultrasonic horn can be obtained from Figure 5:

A12(k1,r,l,x)=0A 12 (k 1 ,r,l,x)=0

如图6和7所示,本实施例提供的超声变幅杆位移节点、放大倍数的模型图。法兰的加入使谐振频率的理论值偏高,但会使位移节点更接近实际值;法兰对放大倍数的影响很小可忽略,为方便计算本发明以图6和7模型图计算,超声波在传递时,变幅杆中只有一半的螺钉与变幅杆共同振动,另一半与换能器共同振动,故只考虑等效螺钉长度的一半。As shown in FIGS. 6 and 7 , the model diagrams of the displacement nodes and magnifications of the ultrasonic horn provided in this embodiment. The addition of the flange makes the theoretical value of the resonance frequency higher, but makes the displacement node closer to the actual value; the influence of the flange on the magnification is very small and can be ignored. During transmission, only half of the screws in the horn vibrate together with the horn, and the other half vibrate together with the transducer, so only half of the equivalent screw length is considered.

变幅杆位移节点计算,由图6、7的模型图与超声变幅杆的结构尺寸利用四端网络与矩阵传递法可得。因位移节点是变幅杆上位移或速度为零的点,一般取在法兰段,故本实施例以节点在法兰段为例,进行取样计算,故将法兰上的厚度值设为对象X从大端向小端进行取样计算。The calculation of the displacement node of the horn can be obtained from the model diagrams in Figures 6 and 7 and the structural dimensions of the ultrasonic horn using the four-terminal network and matrix transfer method. Because the displacement node is the point on the horn where the displacement or velocity is zero, it is generally taken in the flange section, so this embodiment takes the node in the flange section as an example for sampling calculation, so the thickness value on the flange is set as Object X is sampled from big endian to little endian.

图6模型圆波数:Figure 6 Model circular wave number:

Figure BDA0002938210440000073
Figure BDA0002938210440000073

Figure BDA0002938210440000074
Figure BDA0002938210440000074

Figure BDA0002938210440000075
Figure BDA0002938210440000075

式中:B为图6变幅杆的四端网络参数矩阵。In the formula: B is the four-terminal network parameter matrix of the horn in Figure 6.

因位移节点是图6模型图中位移为零的点,截取图7所示的模型图计算位移节点。Since the displacement node is the point where the displacement is zero in the model diagram of Fig. 6, the model diagram shown in Fig. 7 is intercepted to calculate the displacement node.

位移节点:Displacement node:

Figure BDA0002938210440000076
Figure BDA0002938210440000076

Figure BDA0002938210440000081
Figure BDA0002938210440000081

Figure BDA0002938210440000082
Figure BDA0002938210440000082

放大倍数的求取,由图6的模型图与超声变幅杆的结构尺寸利用四端网络与矩阵传递法可得。The magnification can be obtained by using the four-terminal network and matrix transfer method from the model diagram in Figure 6 and the structural dimensions of the ultrasonic horn.

放大倍数:gain:

Figure BDA0002938210440000083
Figure BDA0002938210440000083

固超声变幅杆的参数计算模型为:The parameter calculation model of the solid ultrasonic horn is:

Figure BDA0002938210440000084
Figure BDA0002938210440000084

SQP修正模型的建立,利用上述超声变幅杆的计算模型,以放大倍数修正前后差值最小为目标函数,以谐振频率为目标频率、位移节点落在法兰中点为约束条件所建立。将目标频率代入谐振频率方程实现谐振频率约束、将法兰尺寸X定量为L/2实现节点约束。对于变幅杆的尺寸变量的选取,为实现不拆卸修正变幅杆,选取的变幅杆的变量尺寸需满足法兰右侧距换能器的保持不变,对于法兰右侧只有单一形状的变幅杆本例选取大端半径即可,法兰左侧本例选取左侧长度与小端半径即可。The establishment of the SQP correction model is based on the above-mentioned calculation model of the ultrasonic horn, and the objective function is to take the minimum difference before and after the magnification correction as the objective function, the resonant frequency as the target frequency, and the displacement node at the midpoint of the flange as the constraint. Substitute the target frequency into the resonance frequency equation to realize the resonance frequency constraint, and quantify the flange dimension X as L/2 to realize the node constraint. For the selection of the variable size of the horn, in order to realize the modification of the horn without dismantling, the variable size of the selected horn must satisfy the distance from the transducer on the right side of the flange to remain unchanged. For the right side of the flange, there is only a single shape In this example, the large end radius can be selected, and the left side length and small end radius can be selected in this example on the left side of the flange.

目标频率F代入:Substitute the target frequency F into:

Figure BDA0002938210440000085
Figure BDA0002938210440000085

目标函数:Objective function:

Figure BDA0002938210440000086
Figure BDA0002938210440000086

约束条件:Restrictions:

Figure BDA0002938210440000091
Figure BDA0002938210440000091

式中:r′为变幅杆修正后的半径尺寸;l′为变幅杆修正后的长度尺寸。In the formula: r' is the radius size of the horn after correction; l' is the length of the horn after correction.

在数控编程中,G73可以走波形线应用更加的广泛。本发明的目标是对以加工出的变幅杆进行的修正,故所需的切削量比较小,采用G73循环加工方式,较小加工编程时间。同时对于有复杂函数的零件表面,采用宏程序的编程方式提高加工余量的精度。In NC programming, G73 can be used more widely for wavy lines. The object of the present invention is to correct the horn that is processed, so the required cutting amount is relatively small, and the G73 cycle processing method is adopted to reduce the processing and programming time. At the same time, for the surface of parts with complex functions, the programming method of macro program is used to improve the accuracy of machining allowance.

对已编程好的文本,通过通讯软件导入数控机床的控制系统实现DNC在线加工,大大提高了生产效率。For the programmed text, DNC online processing can be realized by importing the control system of the numerical control machine tool through the communication software, which greatly improves the production efficiency.

对于不带工具头的超声变幅杆修正,省去工具头等效半径的求取即可。For the ultrasonic horn correction without a tool head, the calculation of the equivalent radius of the tool head can be omitted.

本发明对带工具头的圆锥形超声变幅杆进行修正实例:The present invention carries out the correction example to the conical ultrasonic horn with tool head:

(1)将带有法兰盘的换能器固定在数控机床专用的夹具上,并将超声变幅杆按50N.M的预紧力加润滑有效连接;(1) Fix the transducer with flange on the special fixture for CNC machine tools, and connect the ultrasonic horn with a preload of 50N.M and lubricate it effectively;

(2)在数控机床空心主轴后侧设置导电滑环,实现旋转导电,通过导电滑环将换能器的正、负极分别与阻抗分析仪的正、负极联接在一起;(2) A conductive slip ring is arranged on the back side of the hollow spindle of the CNC machine tool to realize rotating conduction, and the positive and negative electrodes of the transducer are respectively connected with the positive and negative electrodes of the impedance analyzer through the conductive slip ring;

(3)在修正软件输入相应的超声变幅杆参数与目标频率值。目标频率:20000Hz螺钉参数:长度35mm,材料45号钢;刀具长度:长度LD=37mm;超声变幅杆参数:材料45号钢,螺孔尺寸:大端孔半径R3=6.35mm,大端孔深L1=20mm;小端孔半径R8=4.8mm,小端孔深L4=20mm;法兰尺寸:法兰半径R=30mm,法兰厚度L=4mm;基本尺寸:大端半径R1=25mm,小端半径R7=15mm;法兰左端长度L1+L2=78.84mm,法兰右端长度L3+L4=71.39mm;(3) Input the corresponding ultrasonic horn parameters and target frequency values in the correction software. Target frequency: 20000Hz Screw parameters: length 35mm, material 45 steel; tool length: length LD=37mm; ultrasonic horn parameters: material 45 steel, screw hole size: large end hole radius R3 = 6.35mm, large end hole Depth L1=20mm; small end hole radius R8=4.8mm, small end hole depth L4=20mm; flange size: flange radius R=30mm, flange thickness L=4mm; basic size: big end radius R1=25mm, The radius of the small end is R7=15mm; the length of the left end of the flange L1+L2=78.84mm, the length of the right end of the flange L3+L4=71.39mm;

(4)测得谐振频率值1为19886Hz;用25N.M的预紧力矩连接工具头,测试实现带刀具的超声变幅杆谐振频率2为19369Hz,后拆下刀具;(4) The measured resonant frequency value 1 is 19886Hz; the tool head is connected with a pre-tightening torque of 25N.M, and the resonant frequency 2 of the ultrasonic horn with the tool is tested to be 19369Hz, and the tool is removed afterwards;

(5)由螺钉尺寸与材料参数可确定计算模型中螺钉的等效厚度x为2.26mm;由谐振频率值1与不含刀具的变幅杆计算模型可确定,变幅杆中的等效声速为5.416*10^6mm/s;由谐振频率值2与带工具头的变幅杆计算模型可确定刀具的等效半径为4.03mm;根据目标频率值20000Hz与SQP优化算法计算出变幅杆的修正尺寸;(5) The equivalent thickness x of the screw in the calculation model can be determined from the screw size and material parameters; it can be determined from the resonance frequency value 1 and the calculation model of the horn without the tool, and the equivalent sound velocity in the horn can be determined. It is 5.416*10^6mm/s; the equivalent radius of the tool can be determined to be 4.03mm from the resonant frequency value 2 and the horn with the tool head calculation model; according to the target frequency value of 20000Hz and the SQP optimization algorithm, the horn is calculated. correct size;

(6)由修正尺寸自动修正内置G73编程代码,实现修正余量的数控程序代码的生成;并传递给数控机床系统实现DNC在线加工。一次修正完成之后,软件会进一步检测声学振动组件的谐振频率,当检测结果与目标值误差大于10Hz时,重新开始上述步骤和程序。(6) The built-in G73 programming code is automatically corrected by the corrected size to realize the generation of the numerical control program code for the correction allowance; and it is transmitted to the numerical control machine tool system to realize DNC online processing. After a correction is completed, the software will further detect the resonant frequency of the acoustic vibration component. When the error between the detection result and the target value is greater than 10Hz, the above steps and procedures will be restarted.

(7)经修正后的谐振频率值为19998.8Hz,与目标值20000Hz仅差1.2Hz。结果表明修正系统对变幅杆谐振频率修正的准确性;对声学振动组件修正前后施加15w的电源功率,刀尖振幅修正前后在35μm左右,修正前变幅杆法兰位移振幅接近3μm;修正后变幅杆法兰位移振幅不到1μm,结果表明修正系统对位移节点修正的准确性。(7) The resonant frequency value after correction is 19998.8Hz, which is only 1.2Hz away from the target value of 20000Hz. The results show that the correction system is accurate in correcting the resonant frequency of the horn; applying 15w of power to the acoustic vibration components before and after correction, the tool tip amplitude is around 35μm before and after correction, and the displacement amplitude of the horn flange before correction is close to 3μm; The displacement amplitude of the horn flange is less than 1 μm, and the results show the accuracy of the correction system to correct the displacement nodes.

带工具头圆锥变幅杆修正前后尺寸对比Dimensional comparison of tapered horn with tool head before and after correction

Figure BDA0002938210440000101
Figure BDA0002938210440000101

对所公开的实施例的上述说明,使本领域专业技术人员能够实现或使用本发明。对这些实施例的多种修改对本领域的专业技术人员来说将是显而易见的,本文中所定义的一般原理可以在不脱离本发明的精神或范围的情况下,在其它实施例中实现;因此,本发明将不会被限制于本文所示的这些实施例,而是要符合与本文所公开的原理和新颖特点相一致的最宽的范围。The above description of the disclosed embodiments enables any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the invention; thus , the present invention is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

尽管本文较多地使用了图中附图标记对应的术语,但并不排除使用其它术语的可能性;使用这些术语仅仅是为了更方便地描述和解释本发明的本质;把它们解释成任何一种附加的限制都是与本发明精神相违背的。Although the terms corresponding to the reference numerals in the figures are used more in this paper, the possibility of using other terms is not excluded; these terms are only used to describe and explain the essence of the present invention more conveniently; they are interpreted as any Such additional limitations are contrary to the spirit of the invention.

Claims (6)

1.一种考虑局部结构的超声变幅杆数控修正结构的修正方法,所述数控修正结构适用于数控车床(3),声学振动组件(1)、专用夹具(2)、导电滑环(4)、阻抗分析仪(5)和PC端(6),声学振动组件(1)通过专用夹具(2)固定在数控车床的三爪卡盘(9)上,导电滑环(4)安装在数控车床(3)左端空心主轴上,阻抗分析仪(5)通过导电滑环(4)连接超声换能器(8),PC端(6)与阻抗分析仪(5)、数控车床的数控系统(10)连接,其特征在于,所述修正方法包括以下步骤,1. A correction method for an ultrasonic horn numerically controlled correction structure considering a local structure, the numerically controlled correction structure is suitable for a numerically controlled lathe (3), an acoustic vibration assembly (1), a special fixture (2), a conductive slip ring (4) ), impedance analyzer (5) and PC end (6), the acoustic vibration component (1) is fixed on the three-jaw chuck (9) of the CNC lathe by a special fixture (2), and the conductive slip ring (4) is installed on the CNC lathe On the hollow spindle at the left end of the lathe (3), the impedance analyzer (5) is connected to the ultrasonic transducer (8) through the conductive slip ring (4), the PC end (6) is connected to the impedance analyzer (5), and the numerical control system ( 10) connect, it is characterized in that, described correction method comprises the following steps, (1)组装声学振动组件;(1) Assemble the acoustic vibration components; (2)将声学振动组件通过专用夹具固定在数控车床的三爪卡盘上;(2) Fix the acoustic vibration component on the three-jaw chuck of the CNC lathe through a special fixture; (3)安装导电滑环,将阻抗分析仪通过导电滑环与超声换能器连接;(3) Install the conductive slip ring, and connect the impedance analyzer to the ultrasonic transducer through the conductive slip ring; (4)PC端控制阻抗分析仪实现谐振频率的测量,根据所得测量值计算修正余量并进行修正程序的生成;(4) The PC-side controlled impedance analyzer realizes the measurement of the resonant frequency, calculates the correction margin according to the obtained measurement value and generates the correction program; (5)PC端给数控车床的数控系统传递数控编程,实现余量的修正;(5) The PC terminal transmits the numerical control programming to the numerical control system of the numerical control lathe to realize the correction of the allowance; 步骤(4)包括无工具头修正法和有工具头修正法;Step (4) includes the correction method without the tool head and the correction method with the tool head; 无工具头修正法包括以下步骤,The toolless head correction method includes the following steps, (4.1.1)将无工具头的超声变幅杆与超声换能器有效连接,通过阻抗分析仪获取超声变幅杆的谐振频率,通过变幅杆的频率方程可推出实际等效声速的计算模型,获得等效声速,对声速进行修正;(4.1.1) Effectively connect the ultrasonic horn without the tool head to the ultrasonic transducer, obtain the resonance frequency of the ultrasonic horn through the impedance analyzer, and calculate the actual equivalent sound speed through the frequency equation of the horn. model, obtain the equivalent sound speed, and correct the sound speed; (4.1.2)将等效声速代入性能参数计算模型,建立修正模型,以放大倍数不变为目标函数,以目标谐振频率、节点位置为约束,经SQP优化算法确定修调几何尺寸;(4.1.2) Substitute the equivalent sound speed into the performance parameter calculation model, establish a correction model, take the constant magnification as the objective function, and take the target resonant frequency and node position as the constraints, and determine the modified geometric size through the SQP optimization algorithm; (4.1.3)进行数控编程导入数控机床,进行余量加工,实现变幅杆性能参数的修正。(4.1.3) Carry out numerical control programming and import it into the numerical control machine tool, carry out allowance processing, and realize the correction of the performance parameters of the horn. 2.根据权利要求1所述的一种考虑局部结构的超声变幅杆数控修正结构的修正方法,其特征在于,声学振动组件包括超声换能器(8)和超声变幅杆(7),超声变幅杆(7)安装在超声换能器(8)上,导电滑环(4)安装在数控车床(3)左端空心主轴上,以使阻抗分析仪(5)通过导电滑环(4)获取超声变幅杆(7)的谐振频率。2. a kind of correction method of the ultrasonic horn numerical control correction structure considering local structure according to claim 1, is characterized in that, acoustic vibration assembly comprises ultrasonic transducer (8) and ultrasonic horn (7), The ultrasonic horn (7) is installed on the ultrasonic transducer (8), and the conductive slip ring (4) is installed on the hollow spindle at the left end of the CNC lathe (3), so that the impedance analyzer (5) passes through the conductive slip ring (4) ) to obtain the resonance frequency of the ultrasonic horn (7). 3.根据权利要求2所述的一种考虑局部结构的超声变幅杆数控修正结构的修正方法,其特征在于,超声变幅杆(7)包括变幅杆主体(11)、连接螺钉(12)和工具头(13),连接螺钉(12)、工具头(13)分别固定连接在变幅杆主体的两侧端面上。3. A correction method for ultrasonic horn numerically controlled correction structure considering local structure according to claim 2, characterized in that the ultrasonic horn (7) comprises a horn body (11), a connecting screw (12) ) and a tool head (13), the connecting screws (12) and the tool head (13) are respectively fixedly connected to the end faces on both sides of the horn main body. 4.根据权利要求1-3任一项所述的一种考虑局部结构的超声变幅杆数控修正结构的修正方法,其特征在于,有工具头修正法包括以下步骤,4. The correction method of the ultrasonic horn numerically controlled correction structure considering the local structure according to any one of claims 1-3, is characterized in that, the tool head correction method comprises the following steps, (4.2.1)先测未安装工具头情况下的谐振频率,记谐振频率1后,求得等效声速进行声速修正;然后连接工具头,测得谐振频率2,将谐振频率2与等效声速代入有工具头的谐振频率方程,确定工具头的等效半径;(4.2.1) First measure the resonant frequency without the tool head installed, record the resonant frequency 1, then obtain the equivalent sound speed to correct the sound speed; then connect the tool head, measure the resonant frequency 2, and compare the resonant frequency 2 with the equivalent sound speed The sound velocity is substituted into the resonance frequency equation of the tool head to determine the equivalent radius of the tool head; (4.2.2)将等效声速、工具头等效半径代入机械四端网络模型,确定性能参数计算模型,建立修正模型,以放大倍数不变为目标函数,以目标谐振频率、节点位置固定在法兰的中点为约束,经SQP优化算法确定修调几何尺寸;(4.2.2) Substitute the equivalent sound velocity and the equivalent radius of the tool head into the mechanical four-terminal network model, determine the performance parameter calculation model, and establish a correction model. The midpoint of the blue is a constraint, and the trimming geometric size is determined by the SQP optimization algorithm; (4.2.3)拆下工具头,进行数控编程导入数控机床,实现余量加工,实现变幅杆性能参数的修正。(4.2.3) Remove the tool head, carry out numerical control programming and import it into the numerical control machine tool, realize the machining of allowances, and realize the correction of the performance parameters of the horn. 5.根据权利要求1-3任一项所述的一种考虑局部结构的超声变幅杆数控修正结构的修正方法,其特征在于,5. The correction method of the ultrasonic horn numerically controlled correction structure considering the local structure according to any one of claims 1-3, is characterized in that, 超声变幅杆的性能参数计算模型为:
Figure FDA0003534525830000031
The calculation model of the performance parameters of the ultrasonic horn is:
Figure FDA0003534525830000031
6.根据权利要求1-3任一项所述的一种考虑局部结构的超声变幅杆数控修正结构的修正方法,其特征在于,6. The correction method of the ultrasonic horn numerical control correction structure considering the local structure according to any one of claims 1-3, it is characterized in that, 目标频率F代入:
Figure FDA0003534525830000032
Substitute the target frequency F into:
Figure FDA0003534525830000032
目标函数:
Figure FDA0003534525830000033
Objective function:
Figure FDA0003534525830000033
约束条件:
Figure FDA0003534525830000034
Restrictions:
Figure FDA0003534525830000034
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