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A time integration algorithm for flexible mechanism dynamics:: The DAE α-method
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DOI：10.1016/S0045-7825(97)00261-2.png)
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This paper introduces a new family of second-order methods for solving the index-2 differential-algebraic equations (DAEs) of motion for flexible mechanism dynamics. These methods, which extend the alpha-methods for ODEs of structural dynamics to DAEs, possess numerical dissipation that can be controlled by the user. Convergence and stability analysis is given and verifies that the DAE alpha-methods introduce no additional oscillations and preserve the stability of the underlying ODE system. Convergence of the Newton iteration, which can be a source of difficulty in solving nonlinear oscillatory systems with large stepsizes, is achieved via a coordinate-split modification to the Newton iteration. Numerical results illustrate the effectiveness of the new methods for simulation of flexible mechanisms. (C) 1998 Elsevier Science S.A.
Keyword:
RUNGE-KUTTA METHODS
NUMERICAL-SOLUTION
EQUATIONS
MOTION
SYSTEMS
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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