摘要
探讨了用Laplace变换原理分析线性系统碰撞接触过程的一般方法.首先,建立了线性系统的碰撞模型,并导出了分析的基本原理及计算公式,同时还给出了与之对应的时域卷积分形式;然后,给出了集中质量、弹性杆、梁等子系统的传递函数,并以这些子系统之间的相互碰撞为分析实例,验证了该方法的有效性.分析结果表明传统的碰撞恢复系数远不能揭示碰撞过程的动力学现象,系统的动态特性和碰撞前的运动状态都强烈地影响着碰撞过程和碰撞后果;该方法具有概念明晰、通用性强、数值计算高效等优点,且能得到较多的解析结果.
With the Laplace transform method, the analysis methods of impacting process of linear system were discussed. First, the impact model of the linear system was built, and the basic analysis principle and calculation formula were derived. At the same time, the convolution integral formula was also given. Second, the subsystem＇ s transfer functions, which include mass, elasticity bar, cantilever beam, et, were derived. Lastly, the validity of this analysis method was validated by examples. The results indicated that both system＇ s dynamic characteristics and pre - impacting motion state affected the impacting process and impacting result strongly,and the impacting restitution coefficient can＇t reveal kinetic phenomenon in impacting process. Compared with other methods, this analysis method have some advantages such as specific conception, higher numeric computing efficiency, and more analytic results.
出处
《动力学与控制学报》
2005年第4期76-81,共6页
Journal of Dynamics and Control
关键词
碰撞
线性系统
恢复系数
impact, linear system, impacting restitution coefficient
