The Dynamics of Nonlinear Mechanical Systems

该项目分析由非线性运动方程建模的机械系统的动态响应。该系统有两个自由度，其中非线性是由碰撞产生的，而非线性是由测力源产生的。这类系统的典型代表是带有限位装置的动态减振器。止动块用于限制吸收装置的偏移，并且不打算在正常操作期间起作用。必须对涉及止动块碰撞的运动进行研究，以确保此类运动不会发生。该项目对平移和旋转动力吸振器进行了这项研究。它决定了非线性行为和运动稳定性的参数范围。

This project analyzes the dynamic response of mechanical systems modeled by nonlinear equations of motion. The systems have two degrees of freedom where nonlinearities are produced by impacts and from qeometric sources. This class of systems is typified by dynamic vibration absorbers with limiting stops. The stops are used to limit excursions of absorber devices and are not intended to act during normal operation. A study of motions involving impacts with the stops must be carried out to ensure that such motions do not occur. This project implements that study for both translational and rotational dynamic vibration absorbers. It determines the parameter range for nonlinear behavior and for stability of motion.