Research on Selection of Shap Function in Flexible Multi-body System Dynamics
ZHAO Yang
WANG Deshi
Abstract：To precisely control and simulate the dynamics of a flexible-body system as well as to make the computation effec?tive,it is necessary to study how to select elastic body,s shape function.In a floating coordinate system,the Lagrangian equation is used to deduce the general dynamics equation for a flexible-body system.For three types of shape functions,the coefficient matrixes of the dynamics algorithm are compared to investigate the effects of the selected shape functions on computational accuracy and effi?ciency.Our study shows that the floating coordinate system has effect on the coupling degree of the equations while the computation?al accuracy and efficiency are mainly subjected to shape functions.Under the assumption of static deformation,the dynamics equa?tion are simple and the computational efficiency is the highest.For both the finite element model and the vibration modal model,the efficiency becomes low with increasing the number of the meshes and the number of the modal truncations. The form of the shape function depends on both the accuracy and the efficiency,which,however,are contradictory to each other.The shape function shall be appropriately and conditionally selected to simulate and control the dynamics of a flexible-body system.
Keywords：flexible multi-body system dynamicsshape functionmode coordinatesstatic deformationfloating coordi?nate system
Publication Date：2018-03-02
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 437-444,458 )