Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation

dc.contributor.authorGordis, Joshua H.
dc.contributor.authorNeta, Beny
dc.contributor.corporateMechanical Engineering (ME)
dc.contributor.departmentApplied Mathematicsen_US
dc.contributor.departmentMeteorologyen_US
dc.dateJuly 1998 - November 1999
dc.date.accessioned2012-11-01T22:59:09Z
dc.date.available2012-11-01T22:59:09Z
dc.date.issued1999-05
dc.description.abstractThis 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 solution algorithm for fast transient analysis of large, locally nonlinear structures using time domain structural synthesis. The report documents the development of several algorithms intended to improve upon the original algorithm developed by the first author. The last algorithm developed meets the stated goals of the project. This algorithm is a newly developed recursive, block by block convolution solution to the governing nonlinear integral equation. As is demonstrated with a realistically large nonlinear base excitation problem (51, 300 DOF finite element model), the new algorithm provides a 78% reduction in time required for the nonlinear transient base excitation solution, as compared with traditional direct integration. The new algorithm provides an even greater reduction in computer time for subsequent analysis. The nonlinear base isolation solutions calculated using the new algorithm take approximately 7 seconds, as compared with the direct integration solution which takes approximately 30 minutes. The rapid reanalysis capability will facilitate the development of numerical optimization for the design of nonlinear isolation. The theory of transient synthesis is documented, along with a new proof of the exponential convergence properties of an iterative solution to the governing nonlinear integral equation.en_US
dc.description.funderATM-9713481en_US
dc.description.sponsorshipPrepared for: National Science Foundationen_US
dc.identifier.npsreportNPS-ME-99-009
dc.identifier.oclcocm44000180
dc.identifier.urihttps://hdl.handle.net/10945/15348
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.subject.authorStructural dynamicsen_US
dc.subject.authorearthquakeen_US
dc.subject.authorisolationen_US
dc.subject.authornonlinear transient analysisen_US
dc.subject.authorstructural synthesisen_US
dc.titleEfficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulationen_US
dc.typeTechnical Reporten_US
dspace.entity.typePublication
relation.isOrgUnitOfPublicationbe4a5ea6-677a-43c8-bd87-7e223a840335
relation.isOrgUnitOfPublication.latestForDiscoverybe4a5ea6-677a-43c8-bd87-7e223a840335
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