MACHINE COMPUTATION OF TRIGONOMETRIC EXPANSIONS,

Abstract

A new technique for the computer solution of problems in solid mechanics is introduced, and an example of the large deflections of a spherical cap is used to illustrate the method. Coding systems can be established through which powers of trigonometric series are expanded by the computer. The method is particularly suited to problems involving the minimization of potential energy with respect to undetermined coefficients. If long series expansions of the dependent variables are needed for adequate convergence, hand computation of the potential energy expression in terms of the undetermined coefficients is too tedious. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0632898

Entities

People

  • David Bushnell
  • Wayne A. Madsen

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Computations
  • Computer Programming
  • Computers
  • Computing-Related Activities
  • Convergence
  • Deflection
  • Energy
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Potential Energy
  • Software Development

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.