Fast transit analysis for locally nonlinear structures by recursive block convolution
Gordis, Joshua H.
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The transient analysis of large structural systems with localized nonlinearities in a computationally demanding process, inhibiting dynamic redesign and optimization. A previously developed integral equation formulation for transient structural synthesis has demonstrated the ability to solve large locally nonlinear transient problems in a fraction of the time required by traditional direct integration methods, with equivalent of better accuracy. A recursive block-by-block convolution algorithm is developed for the solution of the governing integral equations which further reduces the solution times required. Examples using realistically-sized finite element models are presented, demonstrating the performance of the formulation.
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