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Flexible multibody system dynamics modeling , price cuts and fine calculation

Author: ZhaoYuLi
Tutor: WuZiYan
School: Northwestern Polytechnical University
Course: Structural Engineering
Keywords: Flexible multibody system dynamics Symplectic subspace inverse iteration method Time-varying structure Precise Integration Method Nonlinear Dynamics
CLC: O302
Type: Master's thesis
Year: 2000
Downloads: 715
Quote: 1
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Abstract


In this paper, the specific characteristics of the flexible multi-body system , its modeling , reduced order and fine three aspects are discussed and research . The main features of the flexible multi - body system dynamics problems : flexible body parts in the system , in the course of the campaign , undergoing rigid overall movement and steering , while there are deformed movement , and both campaigns are highly coupled . Modeling relative described export plane motion of a free and flexible body dynamics equation using Lagrange equation , then assembled into a flexible multi-body system through the constraint equations , and subsequently discuss the establishment of flexible multibody system dynamics the equation recursive column , and compare the advantages and disadvantages of both . Flexible multi-body dynamics model of order discretization method is generally very high , even if the application mode truncation method to the characteristics of the deformation of the flexible system , the order of the equation will remain high . Based on the relationship between structural mechanics and optimal control of analog the symplectic subspace inverse iteration method (ASSISM) from premise retain the original system is not destroyed in the whole state space iterative order out of the system under the system of Hamilton eigensolutions from the calculation of the intrinsic value for a large system of reduced-order research opens up another way . The article also successfully be introduced into the solution of the time-varying system . The precise integration method is a high precision , absolute stability of the calculation of ordinary differential equations iterative format algorithm , and any time value can be obtained , which can effectively solve stiff differential equations with constant coefficients linear rigidity and its calculation of risk problems , improved precise integration method for solving nonlinear differential equations also shows a huge advantage , precise integration method can effectively solve the above two issues , this paper established a rigid - elastic coupling model , with the the method of numerical simulation calculation results show that the precise integration method for solving this kind of problem applies equally flexible multibody system dynamics equations provide a new way of thinking .

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