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.

1.
Gordis
,
J. H.
, and
,
J. L.
,
1999
, “
Efficient Transient Analysis for Large Locally Nonlinear Structures
,”
Shock Vib. Dig.
,
6
, No.
1
, pp.
1
9
.
2.
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