The transient analysis of large structural systems with localized nonlinearities is 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 or better accuracy. A recursive block-by-block convolution algorithm is developed for the solution of the governing integral equation that further reduces the solution time required. A computing time comparison of single-block versus multiple-block solutions is provided.
Fast Transient Analysis for Locally Nonlinear Structures by Recursive Block Convolution
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 2000; revised March 2001. Associate Editor: A. F. Vakakis.
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Gordis , J. H., and Neta , B. (March 1, 2001). "Fast Transient Analysis for Locally Nonlinear Structures by Recursive Block Convolution ." ASME. J. Vib. Acoust. October 2001; 123(4): 545–547. https://doi.org/10.1115/1.1389083
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