Variational Methods of Convolution Integral and of Large Spring Constants - A Numerical Comparison

Abstract

Finite element solution formulations have been carried out for a simple initial value problem based on two different variational statements; that of convolutional integral developed by Gurtin and that of large spring constants adapted by this writer for initial value problems. Numerical results indicate that both generate convergent solution to the given initial value problem of a spring-mass system subjected to a harmonic forcing function.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA088902

Entities

People

  • Julian J. Wu

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Convolution
  • Convolution Integrals
  • Differential Equations
  • Equations
  • Integrals
  • Materials
  • Mathematics
  • Mechanical Properties
  • Military Research
  • Numerical Analysis
  • Step Functions
  • Variational Methods
  • Variational Principles
  • Weapon Systems
  • Weapons

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)