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Vibration Analysis of a New Type of Compliant Mechanism with Flexible-Link, Using Perturbation Theory

机译：基于摄动理论的新型柔性连杆柔性机构振动分析

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摘要

Vibration analysis of a new type of compliant parallel mechanism with flexible intermediate links is investigated. The application of the Timoshenko beam theory to the mathematical modeling of the intermediate flexible link is described, and the equations of motion of the flexible links are obtained by using Lagrange's equation of motion. The equations of motion are obtained in the form of a set of ordinary differential equations by using assumed mode method theory. The governing differential equations of motion are solved using perturbation method. The assumed mode shapes and frequencies are to be obtained based on clamped-clamped boundary conditions. Comparing perturbation method with Runge-Kutta-Fehlberg 4,5th leads to highly accurate solutions, and the results are performed and discussed.
机译：研究了具有柔性中间连杆的新型顺应性并联机构的振动分析。描述了季莫申科梁理论在中间柔性连杆的数学建模中的应用，并通过使用拉格朗日运动方程获得了柔性连杆的运动方程。通过使用假定模式方法理论，以一组常微分方程的形式获得运动方程。使用微扰法求解控制运动的微分方程。假定的模态形状和频率应根据钳位边界条件获得。将扰动方法与Runge-Kutta-Fehlberg 4,5th进行比较，可以得出高度精确的解，并对结果进行了讨论。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第5期|p.29.1-29.18|共18页
  • 作者

    N. S. Viliani; H. Zohoor; M. H. Kargarnovin;

  • 作者单位

    Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;

    Center of Excellence in Design, Robotics, and Automation, Sharif University of Technology, Tehran, Iran,School of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, Tehran 14588-89694, Iran;

    School of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, Tehran 14588-89694, Iran;

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