On the numerical solution of the integral equation formulation for transient structural synthesis

Approved for public release; distribution is unlimited === 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...

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Main Author:	Coleman, Keenan L.
Other Authors:	Gordis, Joshua H.
Published:	Monterey, California: Naval Postgraduate School 2014
Online Access:	http://hdl.handle.net/10945/43891

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spelling	ndltd-nps.edu-oai-calhoun.nps.edu-10945-438912015-02-11T03:55:42Z On the numerical solution of the integral equation formulation for transient structural synthesis Coleman, Keenan L. Gordis, Joshua H. Neta, Beny Mechanical and Aerospace Engineering Approved for public release; distribution is unlimited 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. 2014-12-05T20:10:07Z 2014-12-05T20:10:07Z 2014-09 Thesis http://hdl.handle.net/10945/43891 This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, it may not be copyrighted. Monterey, California: Naval Postgraduate School
collection	NDLTD
sources	NDLTD
description	Approved for public release; distribution is unlimited === 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.
author2	Gordis, Joshua H.
author_facet	Gordis, Joshua H. Coleman, Keenan L.
author	Coleman, Keenan L.
spellingShingle	Coleman, Keenan L. On the numerical solution of the integral equation formulation for transient structural synthesis
author_sort	Coleman, Keenan L.
title	On the numerical solution of the integral equation formulation for transient structural synthesis
title_short	On the numerical solution of the integral equation formulation for transient structural synthesis
title_full	On the numerical solution of the integral equation formulation for transient structural synthesis
title_fullStr	On the numerical solution of the integral equation formulation for transient structural synthesis
title_full_unstemmed	On the numerical solution of the integral equation formulation for transient structural synthesis
title_sort	on the numerical solution of the integral equation formulation for transient structural synthesis
publisher	Monterey, California: Naval Postgraduate School
publishDate	2014
url	http://hdl.handle.net/10945/43891
work_keys_str_mv	AT colemankeenanl onthenumericalsolutionoftheintegralequationformulationfortransientstructuralsynthesis
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On the numerical solution of the integral equation formulation for transient structural synthesis

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