A THREE-PARAMETER FAMILY OF DIFFERENCE METHODS FOR THE VIBRATING BEAM.

Abstract

In terms of a complex-valued dependent variable the motion of a vibrating beam can be described by an operator closely resembling the heat equation. The resemblance is exploited by adapting to the vibrating beam equation formulas for a three-parameter family of two-level implicit finite difference approximations to the heat equation. A stability analysis has been performed, and various options for increasing the order of the truncation error have been discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0690190

Entities

People

  • John H. Giese

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Truncation

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra