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.

Issue Section:
Technical Briefs
Keywords:
transient analysis, vibrations, convolution, recursive estimation
Topics:
Algorithms, Transient analysis
1.
Gordis
,
J. H.
, and
Radwick
,
J. L.
,
1999
, “
Efficient Transient Analysis for Large Locally Nonlinear Structures
,”
Shock Vib. Dig.
,
6
, No.
1
, pp.
1
–
9
.
2.
Gordis, J. H., and Neta, B., 1999, “Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation,” Report, Project #97-13481, National Science Foundation, Earthquake Hazard Mitigation Program.
3.
Strang, G., and Nguyen, T., 1996, Wavelets and Filter Banks, Wellesley-Cambridge Press, Wellesley, MA.
Copyright © 2001
 by ASME
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