超声切割刀动力学分析和结构优化设计

中国机械工程 ›› 2013, Vol. 24 ›› Issue (12): 1631-1635.

超声切割刀动力学分析和结构优化设计

周胜利;姚志远;沙金

南京航空航天大学机械结构力学及控制国家重点实验室,南京,210016

出版日期:2013-06-25 发布日期:2013-07-11
基金资助:
国家自然科学基金资助项目(50975136);国家重点基础研究发展计划(973计划)资助项目(2011CB707602)；NSFC-广东联合基金资助重点项目(U0934004)
National Natural Science Foundation of China（No. 50975136）;
National Program on Key Basic Research Project (973 Program)（No. 2011CB707602）

Dynamics Analysis and Structural Optimization Design of an Ultrasonic Cutter

Zhou Shengli;Yao Zhiyuan;Sha Jin

State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing,210016

Online:2013-06-25 Published:2013-07-11
Supported by:

National Natural Science Foundation of China（No. 50975136）;
National Program on Key Basic Research Project (973 Program)（No. 2011CB707602）

摘要/Abstract

摘要：

为定性地分析一种超声切割刀的结构因素对其纵振模态的影响规律,并优化其结构设计,首先建立了超声切割刀的动力学模型,由其得到结构的一阶纵振模态解析解,据解析解计算的振动频率结果(52.5kHz)与ANSYS计算结果(52.3kHz)以及实验结果(53.5kHz)相吻合;然后建立了该超声切割刀结构优化设计的数学模型;最后根据该模型,设计了一套结构优化程序,并借助MATLAB的GUIDE工具完成了人机交互优化界面的开发。优化后的切割刀节面位置与夹持件中心位置偏差约为1μm,切割刀刀头处的振幅提高约27%。

关键词: 超声切割刀, 兰杰文振子, 动力学模型, 优化设计

Abstract:

In order to analyze the influence of an ultrasonic cutter's structural factors on its longitudinal vibration mode qualitatively and optimize its structural design,a dynamics model was established firstly,and its first-order longitudinal vibration mode was obtained analytically.The analytical result of the vibration frequency (52.5kHz) accords with the ANSYS computing consequence (52.3kHz) and the
experimental result (53.5kHz).Then a mathematical model of the structural
optimization design of the ultrasonic cutter was built.At last a structural optimization
design program was devised,and a host controller interface was programed using
the GUIDE tool of MATLAB.After the structural optimization,the deviation between the location of the nodal plane and the position of the clamping center is within 1μm,the amplitude of the tool bit increases by about 27%.

Key words: ultrasonic cutter, Langevin oscillator, dynamics model, optimal design

中图分类号:

TM356

周胜利, 姚志远, 沙金. 超声切割刀动力学分析和结构优化设计[J]. 中国机械工程, 2013, 24(12): 1631-1635.

ZHOU Qing-Li, TAO Zhi-Yuan, SHA Jin. Dynamics Analysis and Structural Optimization Design of an Ultrasonic Cutter[J]. China Mechanical Engineering, 2013, 24(12): 1631-1635.

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