柔性多体系统耦合动力学建模理论及仿真技术研究

Flexible multibody systems should be described using the mechanic model in whichnot only large motion but also deformation of components are considered. Thedynamic equations based on the traditional modeling theory for the flexible multibodysystems are nonlinear and time-varying ones in which Zigid-flexible couplingprecision is on the zero-order level. However the researches given by Kane in 1987indicated that wrong results may be obtained when the dynamic model based on thetraditional modeling theory is used for a cantilever beam with high rotating speed.To solve the eficiency in the zero-order approach coupling model, a new solutionscheme is proposed in this project research. Firstly, by taking a hub-beam system asresearch object, a new modeling theory is proposed for rigid-flexible dynamics. That is, the second-order coupling deformation neglected in the structural dynamic analysis is derived based on the elastic beam theory in the continuum media mechanics. Then the dynamic equations of the system are established based on the basic principle of mechanics. Finally, the discrete dynamic equations of the system are obtained according to certain discretization rules. The derived equations are nonlinear and time-varying ones in which the rigid-flexible coupling precision is on the first-order

从力学基本原理出发研究物体大范围运动与弹性变形藕合动力学机理；建立较精确的藕合动力学的数学模型。研究刚柔混合系统全物理仿真测试技术；揭示柔性多体系统刚柔藕合的特征；验证所创立的藕合动力学模型。由此提出复杂柔性多体系统动力学程式化数学模型；研究数值仿真的计算方法；研制仿真软件为工程产品设计的计算机辅助分析与优化打下基础。.