On the numerical solution of the integral equation formulation for transient structural synthesis
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Authors
Coleman, Keenan L.
Subjects
Structural Synthesis
Adaptive Solution
Volterra Integral Equation,Trapezoidal Rule
Adaptive Solution
Volterra Integral Equation,Trapezoidal Rule
Advisors
Gordis, Joshua H.
Neta, Beny
Date of Issue
2014-09
Date
Sep-14
Publisher
Monterey, California: Naval Postgraduate School
Language
Abstract
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.
Type
Thesis
Description
Series/Report No
Department
Mechanical and Aerospace Engineering (MAE)
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
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.