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齿轮-连杆运动链的拓扑表示及同构判定 被引量:1

A Transfer Matrix Method in Frequency Domain for Torsional Vibration Analysis of Gear Transmission
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摘要 从齿轮-连杆机构(GLM)的结构拓扑特性出发,提出一种表示齿轮-连杆运动链(GLKC)拓扑关系的组合图法,进而给出了其对应的组合矩阵和GLKC的结构不变量。根据这些结构不变量,利用组合矩阵的幂序列成功地解决了GLKC的同构判定问题。最后给出了具有显明图论依据的GLKC同构判定的一般方法,并编制了一个既可判定平面连杆运动链、又可判定GLKC同构的计算机程序。 The transfer matrix method in frequency domain is used in analysing the torsional vibration of gear transmission in this paper. The transfer matrixes in frequency domain for the inertia element and elastic element are derived. Furthermore, the solutions of natural frequencies and vibration mode shapes to gear transmission for different boundary conditions are suggested.
出处 《西安理工大学学报》 CAS 1998年第3期276-281,共6页 Journal of Xi'an University of Technology
基金 国家自然科学基金
关键词 GLKC 拓扑表示 同构识别 组合图 组合矩阵 gear transmission transfer matrix method in frequency domain natural frequency natural mode shape
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