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
Distribution Statement : APPROVED FOR PUBLIC RELEASE