Study on Formulation of Constrained Multibody Systems for Dynamic Design of Mechanical Systems

在本报告中，作者研究了约束多体系统的建模和描述方法，以及用于分析驱动力矩和载荷力矩的识别方法，以估计工程系统的动态行为，并改进其设计过程。以回转式压缩机和单相感应电机为例，对房间空调机管路的动态特性进行了预测。本报告由六部分组成：(1)约束多体系统中凯恩动力学方程和达朗贝尔原理的比较研究；(2)用于获得激振力的旋转压缩机的运动学和运动学分析；(3)排气室和吸气室压差引起的负载力矩的估算；(4)电容启动单相感应电动机的动态性能计算；(5)元件-管道耦合系统的有限元和模态试验方法的建模和建立。(6)管道稳态和暂态运行时的位移和应力分析。

In the present report author investigate modeling and formulation methods in constrained multibody systems and a identification method for analyzing driving and load torques to estimate dynamic behaviors of engineering systems and to improve their design process. The results of the research are used to predict dynamic behaviors of pipe lines of the room air conditioner with the rotary compressor and single phase induction motor taken as an operative example of the dynamic design. The report is composed of six parts : (1) a comparison study of Kane's dynamical equations and D'Alembert's principle in constrained multibody systems, (2) the kinematical and kinetic analysis of the rotary compressor for obtaining exciting forces, (3) estimation of the load torque caused by pressure difference between the discharge chamber and suction chamber, (4) calculation of the dynamic performance of the capacitor start single-phase induction motor, (5) the modeling and formulation of the components-piping coupled system using the finite element method and modal testing method co-operatively. (6) Displacement and stress analyzes of piping lines during steady-state and transient operations.