| Searching for high efficiency and high precision discrete methods of flexible body deformation field has long been a problem that needs to be solved in the field of dynamics of multibody system.It is assumed that assumed modal method and finite element methods are widely used two discrete methods.The assumed modal method has the advantage of high computational efficiency.However,its limitation lies in that it is very difficult to find the mode shape function for complex flexible structures.The disadvantage of the finite element method is that it takes a lot of resources to analyze and calculate complex problems.Therefore,we still need to pay attention to exploring new discrete methods of deformation field for multibody system dynamics.In this paper,the displacement field discretization method of rigid-flexible coupled multibody system dynamics is studied in order to further expand the deformation field theory of flexible multibody system dynamics.The contents of this article are:1.B-spline interpolation method is used to describe the displacement field of flexible rectangular thin plate.Based on the Lagrange equation,the coupled dynamic equations of the flexible rectangular plate around the axis are deduced and the software of MATLAB is used to program the dynamic simulation of the plate.The dynamics simulation is carried out.The B-spline interpolation method,the assumed modal method and the finite element method are compared to verify the effectiveness of the B-spline interpolation method.By changing the elastic modulus of the thin plate,the same method is used to study the calculation accuracy of the B-spline interpolation method when the transverse deformation of the thin plate is larger.2.The influence of the component of base acceleration on the dynamic behavior of the thin plate under the conjoined coordinate system is analyzed.The B-spline interpolation method is used to study the dynamic characteristics of the simple supported plate.By changing the elastic modulus of the thin plate,the same method is used to study the calculation accuracy of the B-spline interpolation method when the transverse deformation of the thin plate is larger.3.The frequency characteristics of the plate dynamics are analyzed and studied.The natural frequencies of the first four stages of free vibration of the flexible thin plate are obtained by the B-spline interpolation method,and the changes of natural frequency are analyzed.The first natural frequencies of the flexible thin plate within a certain range of angular velocity calculated by the B-spline interpolation method,the assumed modal method and the finite element method are compared,and the generalizability of B-spline interpolation method in frequency calculation of the flexible plate is explored. |
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