The Numerical Inversion of Integral Transforms with Applications to Fluid-Viscoelastic Solid Vibration Problems.

Abstract

A technique is given, for the inversion of various integral transforms, which is based on the adaptive, quadratic, non-equidistant interpolation of the image function. The solution of the problem of the vibration of an infinite viscoelastic cylindrical shell, with and without a surrounding acoustic medium, demonstrates the techniques utility in connection with fluid-viscoelastic solid vibration problems.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1976
Accession Number
ADA026951

Entities

People

  • Bruce S. Berger
  • C. M. H. Dai

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Convolution Integrals
  • Integral Transforms
  • Integrals
  • Interpolation
  • Inverse Problems
  • Inversion
  • Mathematical Analysis
  • Mathematics
  • Vibration

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.