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Dynamic Analysis of Slider-Crank Mechanism with a Cracked Rod

机译:带裂纹杆滑块曲柄机构的动力学分析

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摘要

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.
机译:利用拉格朗日方程和牛顿第二定律建立了曲柄滑块机构的动力学方程。研究了带有开放式裂纹杆的滑块-曲柄机构,然后通过无质量扭转弹簧建立等效力学模型,以模拟裂纹在杆中的影响,并将裂纹杆的机理分为两个子系统。建立了带有裂纹杆的曲柄滑块机构的动力学方程。比较有杆和无杆之间的动力学分析结果,结果表明,裂纹的存在会导致滑块运动特性发生很大变化。计算出的最大李雅普诺夫指数为正,这表明带有裂纹杆的曲柄滑块机构中滑块的运动是混乱的。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第11期|8540546.1-8540546.7|共7页
  • 作者

    Cheng Shouguo; Liu Shulin;

  • 作者单位

    Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai, Peoples R China;

    Jiangyin Polytech Coll, Dept Mech & Elect Engn, Jiangyin, Peoples R China;

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  • 正文语种 eng
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