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Dynamic Analysis of Slider-Crank Mechanism with a Cracked Rod

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  • Shouguo Cheng
  • Shulin Liu

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.

Suggested Citation

  • Shouguo Cheng & Shulin Liu, 2018. "Dynamic Analysis of Slider-Crank Mechanism with a Cracked Rod," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-7, September.
    • Handle: RePEc:hin:jnlmpe:8540546
    DOI: 10.1155/2018/8540546
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