On the Numerical Solution of the Integral Equation Formulation for Transient Structural Synthesis

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2014
Accession Number
ADA619478

Entities

People

  • Keenan L. Coleman

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Cantilever Beams
  • Computer Programming
  • Computers
  • Convolution Integrals
  • Couplings
  • Differential Equations
  • Dynamic Response
  • Engineering
  • Equations
  • Integral Equations
  • Integrals
  • New York
  • Periodic Functions
  • Resonant Frequency
  • Step Functions
  • Time Intervals
  • Volterra Equations

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Structural Dynamics.