Dynamic Analysis of Slider-Crank Mechanism with a Cracked Rod

Shouguo Cheng and Shulin Liu

Mathematical Problems in Engineering, 2018, vol. 2018, 1-7

Abstract:

The dynamical equation of the slider-crank mechanism is established by using Lagrange equation and Newton’s second law. The slider-crank mechanism with an open crack rod is investigated and then establishes the equivalent mechanics model by a massless torsional spring to simulate the influence of the crack in the rod, and the mechanism of a cracked rod is divided into two subsystems. The dynamical equation of the slider-crank mechanism with a crack rod is established. Comparing the dynamic analysis results between with and without crack in the rod, the results show that the existence of the crack leads to a great change in the motion characteristics of the slider. The calculated maximum Lyapunov exponent is positive, which shows that the movement of the slider in the crank slider mechanism with a cracked rod is chaotic.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8540546

DOI: 10.1155/2018/8540546

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