Accession Number : AD0261740

Title :   APPLICATION OF THE GENERALIZED PHASE-PLANE-DELTA METHOD TO MULTI-DEGREE-OF-FREEDOM VIBRATING SYSTEMS

Corporate Author : SOUTHWEST RESEARCH INST SAN ANTONIO TEX

Personal Author(s) : CHU,WEN-HWA ; ABRAMSON,H. NORMAN

Report Date : 01 JUN 1961

Pagination or Media Count : 1

Abstract : The phase-plane-delta method of Jacobsen is extended to multi-degree-of-freedom systems governed by differential equations of second order. Applications to initial value problems of two-degree-of-freedom systems are presented as demonstrations of the practical utility of the method. Agreement with exact solutions for linear systems (free and forced oscillations)AND WITH APPROXIMATE SOLUTIONS FOR NONLINEAR SYSTEMS (free and forced oscillations) is excellent. A practical truncation error analysis is included as an appendix, which shows that the method is a second order process. (Author)

Descriptors :   *HYDRODYNAMICS, *SHIPS, DIFFERENTIAL EQUATIONS, DIGITAL COMPUTERS, ERRORS, LINEAR SYSTEMS, MATHEMATICAL ANALYSIS, MOTION, NONLINEAR SYSTEMS, OSCILLATION, OSCILLATORS, VIBRATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE