Dynamic modeling and simulation of a rotating flexible hub-beam based on different discretization methods of deformation fields

Abstract

The dynamic modeling and simulation of a rotating flexible hub-beam based on different discretization methods of the deformation fields are studied. For a rotating flexible cantilever beam, assumed mode method, finite element method (FEM), Bezier interpolation method (BIM), and B-spline interpolation method (BSIM) are adopted to describe the deformation field of flexible beam and to construct unified. By means of Lagrange’s equation of the second kind, taking into account both longitudinal and transverse deformations, as well as longitudinal shortening in the longitudinal deformation caused by transverse bending deformation, dynamic simulation software based on four different discretization methods is prepared, and simulation examples are given for dynamic problems of the hub-beam. The simulation results show that FEM has a low computing efficiency, and the deformation of a flexible beam discretized by FEM cannot be guaranteed second derivative continuous at the element nodes. BIM and BSIM can be used as new discretization methods to effectively describe the deformation fields of flexible beams and have high computing efficiencies, perfectly meeting the needs of actual projects. Therefore, BIM and BSIM have good performance and application value in multi-flexible-body system dynamics.