Methods for Determining Modal Parameters and Mass, Stiffness and Damping Matrices.

Abstract

Methods for determining modal parameters and mass, damping and stiffness matrices from vibration tests are described mathematically. The emphasis is on methods which, at least in principle, are capable of determining the desired quantities from excitations at a single point. A method which determines the modal parameters and the mass, damping and stiffness matrices from the steady state response to sinusoidal excitations is proposed. A computer program of this method and the results of two numerical experiments are given. The first experiment is for the case of simple characteristic values. In the second experiment, one characteristic value is of multiplicity two. The other methods examined usually determine the desired quantities from the transient response. The mathematical back-ground for all the methods is given.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1978
Accession Number
ADA058788

Entities

People

  • Charles L. Keller

Organizations

  • Flight Dynamics Laboratory

Tags

Communities of Interest

  • C4I
  • Cyber

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Applied Mathematics
  • Complex Numbers
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Programs
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fourier Series
  • Frequency Response
  • Integrals
  • Intervals
  • Resonant Frequency

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design