Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation
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Authors
Gordis, Joshua H.
Neta, Beny
Subjects
Structural dynamics
earthquake
isolation
nonlinear transient analysis
structural synthesis
earthquake
isolation
nonlinear transient analysis
structural synthesis
Advisors
Date of Issue
1999-05
Date
July 1998 - November 1999
Publisher
Monterey, California. Naval Postgraduate School
Language
Abstract
This 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.
Type
Technical Report
Description
Series/Report No
Department
Applied Mathematics
Meteorology
Organization
Identifiers
NPS Report Number
NPS-ME-99-009
Sponsors
Prepared for: National Science Foundation
Funder
ATM-9713481
Format
Citation
Distribution Statement
Rights
This 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.