Nonlinear vector eigen-solver and parallel reassembly processing for structural nonlinear vibration

Abstract In the frequency domain solution of large amplitude nonlinear vibration, two operations are computationally costly. They are: (1) the iterative eigen-solution and (2) the iterative nonlinear matrix reassembly. This study introduces a nonlinear eigen-solver which greatly speeds up the solution procedure by using a combination of vector iteration and nonlinear matrix updating. A feature of this new method is that it avoids repeatedly using a costly eigen-solver or equation solver. This solution procedure has also been engaged in parallel processing to further speed up the computation. Parallel nonlinear matrix reassembly is the main interest in this parallel processing. Force Macro is used in the parallel program on a CRAY-2S supercomputer.

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