Computer Derivation of Green's Functions for Structural Dynamic Analysis

Abstract

This research program has been concerned with the development of a new generation of computer-aided techniques for the dynamic analysis of complex structural systems. These techniques which use powerful symbolic processors such as MACSYMA are expected to facilitate the derivation and analysis of Green's functions of interconnected distributed parameter structures. The present approach uses integral methods to combine the transfer functions of the baseline structure with those of discrete substructure attachments in order to obtain the transfer function of the interconnected system. This resultant transfer function is then transformed into a form which lends itself easily to inverse Laplace transformation, yielding the Green's function of the interconnected system. Such algebraic results are expected to improve the understanding of the effects of substructure attachments e.g. active and passive vibration controllers, on the dynamics of large flexible structures.

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Document Details

Document Type
Technical Report
Publication Date
Oct 21, 1991
Accession Number
ADA250249

Entities

People

  • James A. Fabunmi

Tags

Communities of Interest

  • Sensors
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Applied Mathematics
  • Closed Loop Systems
  • Computational Science
  • Contracts
  • Control Systems
  • Differential Equations
  • Dynamic Response
  • Equations
  • Finite Element Analysis
  • Flexible Structures
  • Mathematics
  • Mechanics
  • Resonant Frequency
  • Transient Response Analysis
  • United States

Readers

  • Calculus or Mathematical Analysis
  • Parallel and Distributed Computing.
  • Structural Dynamics.