平面四杆机构刚体导引综合的小波特征参数法

中国机械工程

平面四杆机构刚体导引综合的小波特征参数法

孙建伟1;王鹏1;刘文瑞1;褚金奎2

1.长春工业大学机电工程学院,长春,130012
2.大连理工大学精密与特种加工教育部重点实验室,大连,116023

出版日期:2018-03-25 发布日期:2018-03-21
基金资助:
国家自然科学基金资助项目(51775054)
National Natural Science Foundation of China （No. 51775054）

Wavelet Characteristic Parameter Method of a Planar Four-bar Mechanism Motion Generation Synthesis

SUN Jianwei1;WANG Peng1;LIU Wenrui1;CHU Jinkui2

1.School of Mechanical Engineering,Changchun University of Technology,Changchun，130012
2.Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education,Dalian University of Technology,Dalian，Liaoning,116023

Online:2018-03-25 Published:2018-03-21
Supported by:
National Natural Science Foundation of China （No. 51775054）

摘要/Abstract

摘要： 针对傅里叶级数理论不能进行非整周期刚体导引综合的问题，提出了基于Haar小波级数的解决方法，将早期提出的解决平面四杆机构轨迹综合问题的方法扩展到平面四杆机构的刚体导引综合中。通过对刚体转角和其对应基本尺寸型的连杆转角小波系数进行分析，发现了二者的内在联系。在此基础上建立了101 408组基本尺寸型的平面四杆机构刚体导引输出特征参数数据库。将位置输出问题转化为平面四杆机构轨迹综合问题，并给出了计算平面四杆机构实际尺寸和机构安装位置参数的理论公式。利用建立的数据库和理论公式，实现了平面四杆机构非整周期刚体导引综合。以生产线上的输送工件的铰链四杆机构为例，证明了本文方法的有效性和可行性。

关键词: 刚体导引综合, 数值图谱, 平面四杆机构, 小波系数, 模糊识别

Abstract: Aiming at the problems that the Fourier series theory could not be used to synthesize the non-integral periodic rigid body guidance problems, a method was presented to solve the problems based on Haar wavelet series, which extend the early methods solving the problems of planar four-bar path synthesis to motion generation synthesis. The wavelet coefficients between the rigid body rotation angles(RBRA) and the connecting rod rotation angles(CRRA) of its corresponding basic dimensional types were analyzed, the internal relationships were determined. Based on this finding, an output feature parameters database of planar four-bar motion generation including 101 408 sets of the basic dimensional types was established. The motion generation position output problems were transformed into a planar four-bar mechanism path synthesis problems, and the theoretical formulas were given to compute the actual size and installing position parameters of the mechanism. The non-integer-period motion generation synthesis of a planar four-bar mechanism was achieved using the established database and theoretical formulas. A four-bar mechanism for conveying workpieces on a production line was presented to illustrate the validity and practicality of the proposed theory.

Key words: motion generation synthesis, numerical atlas, planar four-bar mechanism, wavelet coefficient, fuzzy identification

中图分类号:

TH122

孙建伟1;王鹏1;刘文瑞1;褚金奎2. 平面四杆机构刚体导引综合的小波特征参数法[J]. 中国机械工程.

SUN Jianwei1;WANG Peng1;LIU Wenrui1;CHU Jinkui2. Wavelet Characteristic Parameter Method of a Planar Four-bar Mechanism Motion Generation Synthesis[J]. China Mechanical Engineering.

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