Efficient transient analysis for large locally nonlinear structures
Gordis, Joshua H.
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A general and exact theory for transient structural synthesis is extended to address structural systems with an arbitrary number of localized sources of structural dynamic nonlinearity. The formulation is independent of model size, in that only those model degrees-of-freedom of interest need be retained in the synthesis. The theory provides for the efficient calculation of nonlinear transient response due to externally applied loads and prescribed base motions. The theory can function as a substructure coupling and structural modification procedure allowing structural nonlinearities to be isolated from the remaining linear substructures, which are solved once. The nonlinear synthesis in effect installs the nonlinear elements and calculates the nonlinear transient response. An example demonstrate the order of magnitude decrease in time required, as compared to traditional direct integration.
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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 ...
Gordis, Joshua H. (Monterey, California. Naval Postgraduate School, 1994);Fundamental issues in frequency domain structural synthesis are addressed. This work develops a general formulation encompassing all prior contributions to the theory, including the ability to directly synthesize ...
Durant, Brian R. (Monterey, California. Naval Postgraduate School, 1998-12);The method of Time Domain Structural Synthesis is reviewed and examples of linear structural modification and sub-structure coupling are presented. The general formulation for both linear and nonlinear syntheses are compared ...