• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2015, Vol. 51 ›› Issue (13): 227-234.doi: 10.3901/JME.2015.13.227

• 机构学及机器人学研究进展——纪念张启先院士诞辰九十周年专辑 • 上一篇    下一篇

高速凸轮机构动力学分析及模态截断

金国光1, 2, 魏展1, 2, 秦凯旋1, 2, 张阳演1, 2   

  1. 1.天津工业大学机械工程学院;
    2.天津市现代机电装备技术重点实验室
  • 出版日期:2015-07-05 发布日期:2015-07-05
  • 基金资助:
    国家自然科学基金资助项目(51475330, 51275352)

Dynamic Analysis and Modal Truncation of High-speed Cam Mechanism

JIN Guoguang1, 2, WEI Zhan1, 2, QIN Kaixuan1, 2, ZHANG Yangyan1, 2   

  1. School of Mechanical Engineering, Tianjin Polytechnic University;
    Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology
  • Online:2015-07-05 Published:2015-07-05

摘要: 高速凸轮机构广泛应用于车辆、纺织和印刷等机械中,对其进行动力学问题研究是提高机械性能的基础和关键。采用有限元法对凸轮机构柔性构件进行离散化处理,结合模态综合技术和Kane方程建立刚柔耦合凸轮系统动力学模型,所得动力学方程是一个更具一般性的柔性梁类动力学方程,且该方程在模态坐标下更便于计算机求解运算。通过对系统模态分析和动力学方程求解来分析其动态性能,在了解系统动态性能的同时进行模态截断研究。对截取不同阶数的动力学模型进行仿真,分析模态截取阶数对计算精度和计算速度的影响。研究结果对判断实际应用中的高速凸轮系统是否需要进行动力学分析具有重要指导意义,也为该类机构的动力学建模和模态特性研究提供依据。

关键词: 动力学, 高速凸轮, 模态, 有限元

Abstract: High-speed cam mechanism is widely used in vehicles, textile machinery, printing machinery etc. The research of dynamic analysis is the basis and key point to improve the mechanical properties. Discretization of the flexible elements of cam mechanism is carried out by means of finite-element method. Furthermore, the dynamic model of the rigid-flexible coupled cam mechanism is proposed based on modal synthesis technique and Kane’s equations. The dynamic equation obtained is more general for flexible beam type, and very convenient for solving by computer because it is a modal-coordinates dynamic equation. The system dynamic performance is studied by analyzing the system modal and solving the dynamic equation. The simulation of dynamics model which has different orders is carried on, which can not only ensure accuracy of calculation but also save computational resources. Research results have important guiding significance for determining whether the dynamic analysis of high-speed cam systems in practical application is required, and furthermore, research results can provide strong guide for dynamic modeling and modal characteristics research of similar mechanism.

Key words: dynamics, finite element, high-speed cam, modal

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