Fast transient analysis for locally nonlinear structures by recursive block convolution

The transient analysis of large structural systems with localized nonlinear ities is a computationally demanding process, inhibiting dynamic redesign a nd optimization. A previously developed integral equation formulation for t ransient structural synthesis has demonstrated the ability to solve large l ocally nonlinear transient problems in a fraction of the time required by t raditional direct integration methods, with equivalent or better accuracy. A recursive block-by-block convolution algorithm is developed for the solut ion of the governing integral equation that further reduces the solution ti me required. A computing time comparison of single-block versus multiple-bl ock solutions is provided.