【摘要】 在微振动的前提下,从推导空间刚体的动能及隔振器的势能及耗散能着手,利用拉格朗日方程建立了考虑隔振器上下安装点位置的多层隔振系统的动力学方程组。在推导中使用平移变换矩阵T和旋转变换矩阵R以及用TR矩阵的形式描述了多层隔振系统的动能表达式、势能表达式及耗散能表达式。文中给出了一个浮筏隔振系统模型的算例,计算结果表明,所推导的多层隔振系统的动力学模型有良好的计算精度,能满足高质量工程设计的要求。更多还原

【Abstract】 Under precondition of small vibration, by deriving the spatial rigid body’s kinetic energy and isolator’s potential energy, and then substituting them into Lagrange equation, multi-stages isolation system’s dynamic equations are established. The translational transfer matrix T, the rotational transfer matrix R and TR matrix are used to describe multi-stages isolation system’s kinetic energy, potential energy and damping dissipated energy. An example of a raft system is given and its calculation results show that new deduced equation is of good precision. It can meet the needs of high quality design in engineering.更多还原