Accession Number : AD0632898

Title :   MACHINE COMPUTATION OF TRIGONOMETRIC EXPANSIONS,

Corporate Author : STANFORD UNIV CALIF DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s) : Bushnell,David ; Madsen,Wayne A.

Report Date : MAY 1965

Pagination or Media Count : 27

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)

Descriptors :   (*COMPUTER PROGRAMMING, *SERIES(MATHEMATICS)), (*TRIGONOMETRY, SERIES(MATHEMATICS)), FOURIER ANALYSIS, SOLIDS, MECHANICS, ITERATIONS

Subject Categories : Numerical Mathematics
      Computer Programming and Software
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE