Study On Dynamics And Symbolic Computation Of Flexible Member Systems

Along with the application of lighter-weight designing and the increasing of the working rate, the inherent elasticity and vibration characteristics of the flexible members badly affects the performance of overall systems. In order to obtain the high-precision and high-performance required by modern mechanical design, it becomes an key task to research on dynamics of flexible member systems extensively,which contains bulk movement and plastic deformation. This paper focuses on the flexible member systems that are used widely, taking the flexible slider-crank mechanism as an example. In order to model the system dynamic equation and obtain its dynamic response, theoretical derivation,numerical simulations and experiments have been performed in this study. The research works described in the dissertation mainly include following issues: The finite element approach and Lagrange's equation integrated modeling method has been studied, and coefficient matrixes of the flexible member systems have also been gained by a rigorous theoretical derivation. A numerical example—flexible slider-crank mechanism simulation results give the details. Considering of the non-linear,time-varying properties of the flexible member systems, QDA method has been proposed for solving the dynamic response of the numerical example—flexible slider-crank mechanism, which do not need solving differential equations directly. Afterwards, a direct integration method, which is strictly in numerical calculation, New-mark method has also been applied to solving the same question. And the results above have been compared. Although the results are much alike, the former has higher solution speed and is more convenience. Based on mechanical dynamics analysis and virtual simulation software ADAMS, the visual studying on the dynamic of flexible member systems has been carried out. It provides a more direct and simpler approach to study flexible member systems. In the environment of MATLAB, the symbolic computation of flexible member systems dynamics is put forward, and the symbolic calculus of the flexible slider-crank mechanism system dynamics has been accomplished. Practical results show that this idea is suitable in the flexible member systems dynamics studying. This method avoids the low-efficiency,unreliability of the manual operation. So it is effective for actual application. A flexible slider-crank mechanism experiment has been designed to study the flexible member systems. The results obtained in the relevant tests provide parameters for the numerical example, and also verify the correctness of the dynamic modeling presented and the dynamic response solved.