Efficient Transient Analysis for Large Locally Nonlinear Structures

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 reta...

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Main Authors: Joshua H. Gordis, Jeffrey Radwick
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/1999/269370
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author Joshua H. Gordis
Jeffrey Radwick
author_facet Joshua H. Gordis
Jeffrey Radwick
author_sort Joshua H. Gordis
collection DOAJ
description 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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series Shock and Vibration
spelling doaj-art-2653ef32f79949f790c36e9f3997c9b72025-02-03T01:24:53ZengWileyShock and Vibration1070-96221875-92031999-01-01611910.1155/1999/269370Efficient Transient Analysis for Large Locally Nonlinear StructuresJoshua H. Gordis0Jeffrey Radwick1Naval Postgraduate School, Department of Mechanical Engineering–Code ME/Go, Monterey, CA 93943–5100, USANaval Postgraduate School, Department of Mechanical Engineering–Code ME/Go, Monterey, CA 93943–5100, USAA 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.http://dx.doi.org/10.1155/1999/269370
spellingShingle Joshua H. Gordis
Jeffrey Radwick
Efficient Transient Analysis for Large Locally Nonlinear Structures
Shock and Vibration
title Efficient Transient Analysis for Large Locally Nonlinear Structures
title_full Efficient Transient Analysis for Large Locally Nonlinear Structures
title_fullStr Efficient Transient Analysis for Large Locally Nonlinear Structures
title_full_unstemmed Efficient Transient Analysis for Large Locally Nonlinear Structures
title_short Efficient Transient Analysis for Large Locally Nonlinear Structures
title_sort efficient transient analysis for large locally nonlinear structures
url http://dx.doi.org/10.1155/1999/269370
work_keys_str_mv AT joshuahgordis efficienttransientanalysisforlargelocallynonlinearstructures
AT jeffreyradwick efficienttransientanalysisforlargelocallynonlinearstructures