Discretization Methods of a Rotating Flexible Rectangular Thin Plate

【摘要】 The rigid-flexible coupling dynamic modeling theory and the discretization methods of a rotating flexible rectangular thin plate are investigated in this paper.Based on the continuum mechanics,the rigid-flexible coupling dynamic model is established for the flexible rectangular thin plate undergoing large overall rotation,and the coupling term of the deformation which is caused by transverse deformation is considered.Assumed mode method(AMM),spline finite point method(SFPM) and Beizer finite point method(BFPM) are used to describe the deformation of the flexible rectangular plate,and then the dynamic equations of a rotating flexible rectangular thin plate undergoing overall motion are derived by Lagrange’s equation of the second kind.The dynamics of a cantilever plate undergoing large overall rotation is simulated via using different dynamic models,and the simulation results of the first order approximation model are compared with those of the traditional zero-order approximation model.It is shown that the first order approximation model with the dynamic stiffening terms can correctly describe the dynamic behavior of the system undergoing large overall rotation,while the zero-order approximation model cannot get the correct results.And AMM,SFPM,BFPM can well describe the deformation of a rotating flexible rectangular plate.更多还原

【Abstract】 The rigid-flexible coupling dynamic modeling theory and the discretization methods of a rotating flexible rectangular thin plate are investigated in this paper.Based on the continuum mechanics,the rigid-flexible coupling dynamic model is established for the flexible rectangular thin plate undergoing large overall rotation,and the coupling term of the deformation which is caused by transverse deformation is considered.Assumed mode method(AMM),spline finite point method(SFPM) and Beizer finite point method(BFPM) are used to describe the deformation of the flexible rectangular plate,and then the dynamic equations of a rotating flexible rectangular thin plate undergoing overall motion are derived by Lagrange’s equation of the second kind.The dynamics of a cantilever plate undergoing large overall rotation is simulated via using different dynamic models,and the simulation results of the first order approximation model are compared with those of the traditional zero-order approximation model.It is shown that the first order approximation model with the dynamic stiffening terms can correctly describe the dynamic behavior of the system undergoing large overall rotation,while the zero-order approximation model cannot get the correct results.And AMM,SFPM,BFPM can well describe the deformation of a rotating flexible rectangular plate.更多还原