Accession Number : AD0690190

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

Descriptive Note : Memorandum rept.,

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : Giese,John H.

Report Date : JUN 1969

Pagination or Media Count : 19

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)

Descriptors :   (*BEAMS(STRUCTURAL), VIBRATION), (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), VIBRATORS(MECHANICAL), DIFFERENCE EQUATIONS, OPERATORS(MATHEMATICS), CONDUCTION(HEAT TRANSFER), APPROXIMATION(MATHEMATICS), STABILITY

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE