基于傅里叶描述子的耦合串联机构构型尺度融合设计

中国机械工程

基于傅里叶描述子的耦合串联机构构型尺度融合设计

朱留宪1，2;吕浩1;韩远飞1;赵萍3;李祥云1

1.西南交通大学机械工程学院，成都，610031
2.四川工程职业技术学院四川省高温合金切削工艺技术工程实验室，德阳，618000
3.合肥工业大学机械工程学院，合肥，230009

出版日期:2019-09-25 发布日期:2019-09-24
基金资助:
国家自然科学基金资助项目(51805449)；
四川省科技计划(国际合作)资助项目(2018HH0144)；
中央高校基本科研业务费专项资金资助项目(2682017CX037)

A Fourier Descriptor Based Approach to Integrated Type and Dimensional Synthesis of CSM

ZHU Liuxian1，2;LYU Hao1 ;HAN Yuanfei1;ZHAO Ping3;LI Xiangyun1

1.School of Mechanical Engineering,Southwest Jiaotong University,Chengdu,610031
2.Sichuan Provincial Engineering Laboratory of Super Alloy Cutting Technology，Sichuan Engineering Technical College，Deyang, Sichuan, 618000
3.School of Mechanical Engineering,Hefei University of Technology,Hefei,230009

Online:2019-09-25 Published:2019-09-24

摘要/Abstract

摘要： 利用傅里叶变换方法，提出了耦合串联连杆机构的构型尺度融合设计方法，针对给定目标运动对其上各点的轨迹进行谐波分析，识别出包含最少数量谐波分量的最简轨迹，通过这些谐波分量的数量、幅值以及频率等特征信息便可反演得到耦合串联机构的拓扑结构特征和尺度参数信息，解决了耦合串联机构的运动综合问题，并给出了相应的算例证明所提方法的有效性。

关键词: 耦合串联机构, 运动综合, 构型尺度融合设计, 傅里叶描述子, 谐波分析, 拓扑结构特征

Abstract: With the aid of Fourier transform, a novel approach to integrated type and dimensional synthesis of CSM was proposed herein.Through the harmonic analysis of point trajectories from the given task motions,the simplest trajectory which contains the minimum number of harmonic components was identified.Then,characteristic informations of those harmonics such as number of terms,magnitude and frequency were used to determine the topological features and dimensional parameters of CSM,thus effectively solving the motion synthesis problems of CSM.Finally,examples were given to demonstrate the validity of the proposed method.

Key words: coupled serial mechanism(CSM);motion synthesis;integrated type and dimensional synthesis； Fourier descriptor, harmonic analysis, topological feature

中图分类号:

TH446.01

朱留宪1，2;吕浩1;韩远飞1;赵萍3;李祥云1. 基于傅里叶描述子的耦合串联机构构型尺度融合设计[J]. 中国机械工程.

ZHU Liuxian1，2;LYU Hao1 ;HAN Yuanfei1;ZHAO Ping3;LI Xiangyun1. A Fourier Descriptor Based Approach to Integrated Type and Dimensional Synthesis of CSM[J]. China Mechanical Engineering.

参考文献

[1]FREUDENSTEIN F.Harmonic Analysis of Crank-and-Rocker Mechanisms with Application[J].Journal of Applied Mechanics,1959,26：673-675.
[2]FUNABASHI H,FREUDENSTEIN F.Performance Criteria for High-speed Crank-and-Rocker Linkages,Part Ⅰ：Plane Crank-and-Rocker Linkages[J].Journal of Mechanical Design,1979,101(1)：20-25.
[3]FARHANG K,MIDHA A,BAJAJ A.Synthesis of Harmonic Motion Generating Linkages, PartⅠ：Function Generation[J].Journal of Mechanisms Transmissions and Automation in Design,1988,110(1)：16-21.
[4]FARHANG K,MIDHA A,BAJAJ A.Synthesis of Harmonic Motion Generating Linkages, PartⅡ：Path and Motion Generation[J].Journal of Mechanisms Transmissions and Automation in Design,1988,110(1)：22-27.
[5]CHU J,CAO W.Synthesis of Coupler Curves of Planar Four-bar Linkages through Fast Fourier Transform[J].Chinese Journal of Mechanical Engineering,1993,29(5)：117-122.
[6]MCGARVA J,MULLINEUX G.Harmonic Representation of Closed Curves[J].Applied Mathematical Modelling,1993,17(4)：213-218.
[7]MCGARVA J.Rapid Search and Selection of Path Generating Mechanisms from a Library[J].Mechanism and Machine Theory,1994,29(2)：223-235.
[8]ULLAH L,KOTA S.Optimal Synthesis of Mechanisms for Path Generation Using Fourier Descriptor and Global Search Methods[J].Journal of Mechanical Design,1997,119(4)：504-510.
[9]NIE X,KROVI V.Fourier Methods for Kinematic Synthesis of Coupled Serial Chain Mechanisms[J].Journal of Mechanical Design,2005,127(1):232-241.
[10]褚金奎,孙建伟.RCCC机构轨迹综合的数值图谱法[J].中国机械工程,2009,20(9):1024-1028.
CHU Jinkui,SUN Jianwei.Research on RCCC Mechanism Path Generation by Using Numerical Atlas Method[J].China Mechanical Engineering,2009,20(9):1024-1028.
[11]CHU J,SUN J.A New Approach to Dimension Synthesis of Spatial Four-bar Linkage through Numerical Atlas Method[J].Journal of Mechanism and Robotics,2010,2(4)：041004.
[12]SUN J,CHEN L,CHU J.Motion Generation of Spherical Four-bar Mechanism Using Harmonic Characteristic Parameters[J].Mechanism and Machine Theory,2016,95：76-92.
[13]路贺.球面四杆曲柄滑块机构尺度综合的研究[D].长春：长春工业大学,2014.
LU He.Dimensional Synthesis of Spherical Four Bar Crank Slider Mechanism[D].Changchun：Changchun University of Technology,2014.
[14]XIE J,CHEN Y.Application Backpropagation Neural Network to Synthesis of Whole Cycle Motion Generation Mechanism[C]∥12th IFToMM World Congress.Besancon,2007：dmg19969009.
[15]ZHAO P,LI X,ZHU L,et al.A Novel Motion Synthesis Approach with Expandable Solution Space for Planar Linkages Based on Kinematic-mapping[J].Mechanism and Machine Theory,2016,105:164-175.
[16]ZHAO P,LI X,PURWAR A,et al.A Task Driven Unified Synthesis of Planar Four-bar and Six-bar Linkages with R-and P-Joints for Five-position Realization[J].Journal of Mechanisms and Robotics,2016,8(6)：061003.
[17]GE Q J,PURWAR A,ZHAO P,et al.A Task-driven Approach to Unified Synthesis of Planar Four-bar Linkages Using Algebraic Fitting of a Pencil of G-manifolds[J].Journal of Computing and Information Science in Engineering,2017,17(3)：031011.
[18]WU J,GE Q J,GAO F,et al.On the Extension of a Fourier Descriptor Based Method for Planar Four-bar Linkage Synthesis for Generation of Open and Closed Paths[J].Journal of Mechanisms and Robotics,2011，3(3)：031002.