
Accession Number : AD0742801
Title : The Nonlinear Vibrations of Membranes under Random Influences,
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHTPATTERSON AFB OHIO
Personal Author(s) : Ivovich,V. A.
Report Date : 03 MAR 1972
Pagination or Media Count : 18
Abstract : Nonlinear transverse vibrations of a plane rectangular membrane are examined for random steady state effects. The pertureational effect is assumed to be delta correlational in time ('white noise'). The fundamental equations are compared with the FoeppelKarman theory. Transverse displacement is represented in the form of a double trignometric series, each member of which is expressed by the product of a generalized coordinate for the shape of the natural frequencies of the corresponding linear problem. Nonlinear equations in terms of generalized coordinates are obtained by BubnovGalerkin method. The solution to these equations was arrived at by using the FokkerplanckKolmogorov equations. (Author)
Descriptors : (*MEMBRANES, VIBRATION), RESONANT FREQUENCY, LOADS(FORCES), DAMPING, PROBABILITY DENSITY FUNCTIONS, STRESSES, MODULUS OF ELASTICITY, NUMERICAL ANALYSIS, USSR
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE