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表述方法，以及一种用于分析驱动和负载扭矩的识别方法，以估计工程系统的动态行为并改进其设计过程。将研究结果用于室内空调管路动态特性的预测，并以旋转压缩机和单相感应电动机为动态设计实例。报告由六个部分组成：(1)在约束多体系统中对Kane动力学方程和D’alembert原理进行了比较研究；(2)对获得激励力的旋转压缩机进行了运动学和动力学分析；(3)估计了放电室和吸入室之间的压力差引起的负载转矩；(4)计算了电容起动单相感应电动机的动态性能。(5)采用有限元法和模态试验方法对构件-管道耦合系统进行了建模和表述。(6)管道稳态和瞬态运行的位移和应力分析。

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.