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The nonlinear dynamic
problems of three dimensional flexible multibody systems are investigated. The elastic
deformation fields of flexible space beams are decomposed into axial deformation and
bending deformation, and described by each exact vibration modes in the body coordinate
systems. The constrainted nonlinear dynamic equations are derived by using Lagrange
multiplier method. A numerical procedure for solving the resulting differential algebraic
equations is presented based on Newmark direct integration method combined with the
modified Newton-Raphson iterative method. Numerical results verify the effectiveness of
the proposed method. 相似文献
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A nonlinear numerical
integration method, based on forward and backward Euler integration methods, is proposed
for solving the stiff dynamic equations of a flexible multibody system, which are
transformed from the second order to the first order by adop- ring state variables. This
method is of A0 stability and infinity stability. The numerical solutions violating the
constraint equations are corrected by Blajer's modification approach. Simulation results
of a slider-crank mechanism by the proposed method are in good a- greement with ones from
other literature. 相似文献
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