Accession Number : AD0726378
Title : The forced Motion of a Nonconservatively Loaded Elastic System.
Descriptive Note : Technical rept.,
Corporate Author : WATERVLIET ARSENAL N Y
Personal Author(s) : Walter,Wayne W.
Report Date : APR 1971
Pagination or Media Count : 46
Abstract : The solution of a non-self adjoint boundary value problem, having both time derivatives of the dependent variable and known time-dependent functions in the boundary conditions, is obtained by means of Williams' method. Because the problem is nonself-adjoint, the usual form of the modified orthogonality condition for the eigenfunctions is no longer applicable, and must be replaced by a modified biorthogonality condition relating the eigne-functions of the original system to those of its adjoint. Plots of displacement versus time and mode shapes are given. In solving the problem, a heretofore unclear limitation of Williams' method is pointed out. (Author)
Descriptors : (*BEAMS(STRUCTURAL), VIBRATION), BOUNDARY VALUE PROBLEMS, EQUATIONS OF MOTION, FORCE(MECHANICS), LOADS(FORCES), PARTIAL DIFFERENTIAL EQUATIONS
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE