Abstract
A self-adaptive time stepping method has been implemented in MSC/NASTRAN Version 66 for the transient analysis of nonlinear structures. The goal is to provide an automatic method of implicit time integration, which renders accurate solutions efficiently for any nonlinear transient response problem. This goal was achieved by combining the automatic time step adjustment with the bisection process in a coordinated manner. Frequent decomposition of the dynamic stiffness matrix is inevitable in adaptive time stepping using the implicit integration method. Efforts have been made to minimize the thrashing in the algorithm (e.g., too frequent or repetitive adjustment of the time step size) and yet to provide a solution reliably to any type of problem. The iteration process for the equilibrium employs expeditious methods such as BFGS updates and line searches as well as an adaptive stiffness matrix update strategy. The present self-adaptive time stepping algorithm for the nonlinear transient analysis is proving to be a robust and practical method, aimed at efficiency, effectiveness and user-friendliness.
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