刚弹耦合系统时变动力学理论与数值方法研究

Most of the deformation problems of structure with fixed boundary and constant mass and stiffness have been solved by employing the conventional theory and method of solid mechanics. However, the.conventional theory and method will be failed in the treatment of that.kind of complex engineering systems which have time-varying geometrical size and material parameters as well as spacial attitude. This project is based on the background of the engineering applications.of flexible manipulator and high-speed elevator as well as light-weighted.国家自然科学基金资助项目结题报告 4 bridge, and focus on the investigation of the dynamic behavior of structures with time-varying mass and stiffness. We established the mathematical models for the time-varying structures having coupled.rigid motion and elastic deformation, and worked out the analytical and numerical solutions for the corresponding problems. The results of theoretical analysis and numerical computation interpret the instinctive properties of time-varying structures and provide an extension for the conventional structural mechanics..Keywords: coupled rigid-elastic system; time-varying structure; constant structure; dynamics; time-varying element method

以航天器、操作机械臂和大跨度桥梁等的工程应用为背景，研究建立刚弹耦合系统的时变动力学模型，探讨处理这类力学模型的理论和数值计算方法，并开发相应的计算机软件，为上述复杂结构系统的动力学性态分析和优化设计奠定基础。该项目研究对于拓展经典多体系统动力学和结构动力学的理论和方法具有重要意义。