Vibration Analysis of a Slider-Crank Mechanism by Finite Element Method

碩士 === 中原大學 === 機械工程研究所 === 82 === In this thesis, the vibration analysis of slider-crank mecha- nism with a flexible connecting rod is studied. The equations of motion of Timoshenko beam and its corresponding boundary conditi- ons are deve...

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Bibliographic Details
Main Authors: Chen, Hsin-Hung, 陳信宏
Other Authors: Fung, Rong-Fong
Format: Others
Language:zh-TW
Published: 1994
Online Access:http://ndltd.ncl.edu.tw/handle/75291383041246885369
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Summary:碩士 === 中原大學 === 機械工程研究所 === 82 === In this thesis, the vibration analysis of slider-crank mecha- nism with a flexible connecting rod is studied. The equations of motion of Timoshenko beam and its corresponding boundary conditi- ons are developed by Hamilton's principle, which are transformed into a set of ordinary differential equations by using of finite element method. The realistic operation condition is that the cr- ank rotates, and the end of connecting rod moves reciprocally wi- th slider along the horizontal guide.The geometric constraint of the end of connecting rod is derived and introduced into the equ- ations of motion and boundary conditons. It is found that the bo- undary condition of the connecting rod moving with slider is the moving boundary supports, but not the simply supported ones assu- med in all references. Finally, the Runge-Kutta numerical method is applied to obtain the transient amplitudes which are compared with those of considering the flexible rod to be Euler beam or assuming the ends of connecting rod to be simply supported. Fur- thermore, the harmonic balance method is used to obtain the steaty-state solutions of the system.