On the numerical solution of the integral equation formulation for transient structural synthesis
Coleman, Keenan L.
Gordis, Joshua H.
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Structural synthesis is the analysis of the dynamic response of a system when either subsystems are combined (substructure coupling) or modifications are made to substructures (structural modification). The integral equation formulation for structural synthesis is a method that requires only the baseline transient response, the baseline modal parameters, and the impedance of the structural modification. The integral formulation results in a Volterra integral equation of the second-kind. An adaptive time-marching scheme is utilized to solve the integral equation formulation for structural synthesis. When structural modifications of large magnitude are made, the solution to the integral equation can become unstable. To overcome this conditional stability, the derivative of the synthesis equation is examined and demonstrated to be stable regardless of the magnitude of the structural modification.
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Gordis, Joshua H.; Neta, Beny (2000);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 ...
Gordis, Joshua H.; Neta, Beny (2001);The transient analysis of large structural systems with localized nonlinearities is a computationally demanding process, inhibiting dynamic redesign and optimization. A previously developed inte- gral equation formulation ...
Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation Gordis, Joshua H.; Neta, Beny (Monterey, California. Naval Postgraduate School, 1999-05); NPS-ME-99-009This report serves to document progress made to date on the National Science Foundation Project #97-13481, Earthquake Hazard Mitigation Program. The focus of this phase of the project is the development of an improved ...