东华大学学报（英文版）2001，Vol.18Issue(3)：62-65,4.
Analysis of Helical Gear System Dynamic Response Based on Fuzzy Numbers
Analysis of Helical Gear System Dynamic Response Based on Fuzzy Numbers
马亮 1李瑰贤 1杨伟君1
作者信息
- 1. Harbin Institute of Technology, Harbin, 150001
- 折叠
摘要
Abstract
A non-linear dynamic model with the single degree of freedom of a helical gear pair introducing frzzy numbers is developed. In this proposed model, time-variant mesh stiffness, which is a non-linear parameter, mesh damping and composite error of a pair of meshing tooth of the gear pair are all included. Mesh stiffness is calculated by expressing Bo (r) as a Fourier series. Ⅱshape function is introduced as the membership function to characterize the fuzziness of the error. Fuzzy displacement dynamic response of the geared system at A- level, which is a closed interval, is ohtained by removing the fuzziness of the fuzzy differential equations and using Runge-Kutta numerical method. In fact, the fuzzy dynamic response and dynamic loading factor are aH the interval functions related λ. The result obtained here can be used to the fuzzy dynamic optimization design course of the helical gear system. The main advantage of this method is to introduce the concept of fuzzy number for the first time to the analysis of the gear system dynamics.关键词
Fuzzy numbers/Helical gear system/Dynamic responseKey words
Fuzzy numbers/Helical gear system/Dynamic response分类
信息技术与安全科学引用本文复制引用
马亮,李瑰贤,杨伟君..Analysis of Helical Gear System Dynamic Response Based on Fuzzy Numbers [J].东华大学学报（英文版）,2001,18(3):62-65,4.
