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中文核心期刊

含非理想空间棱柱铰的多体系统接触分析

Frictional contact analysis of spatial prismatic joints in multibody systems

  • 摘要: 传统的接触分析方法通过物体间的相对运动确定接触位置. 将这种方法用于多体系统中铰内的接触分析时, 无论铰内间隙是否十分微小都必须解除铰的运动学约束, 从而导致求解效率和求解精度方面的诸多弊端. 基于铰约束反力与铰内接触力之间的力系等效关系, 以及铰内可能接触点运动之间内在的运动学关系, 以矩形截面的棱柱铰为例, 提出了一种对空间棱柱铰进行摩擦接触分析的方法, 可在不解除铰的运动学约束的前提下得到铰内接触模式和接触力. 数值算例验证了方法的可行性.

     

    Abstract: In traditional methods, the details of relative motionbetween two bodies is necessary to locate contact points. When they areapplied to analyze the contact in a joint, the bodies linked by the jointmust be taken as free, no matter how small the clearance of the joint is. Asa result, such drawback makes numerical solution inefficient and inaccuratein some cases. It is found that, the system of contact forces in a joint andthe system of constraint reaction forces of the joint are equivalent, andthe motion of possible contact points in joint relate each other inherently.Based on these facts, this paper present a method for frictional contactanalysis of spatial prismatic joints, by which the positions and forces ofcontacts can be obtained while the kinematic constraints of prismatic jointsare kept. Numerical examples prove the validity of the method.

     

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