Accession Number : AD0752719

Title :   Einflu einer Kleinen Biegesteifigkeit auf die Querschwingungen einer Eingespannten Rechteckigen Membran (Influence of a Small Bending Stiffness on the Lateral Vibrations of a Clamped Rectangular Membrane),

Corporate Author : DEUTSCHE FORSCHUNGS- UND VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V AACHEN (WEST GERMANY)

Personal Author(s) : Schneider,W.

Report Date : 21 OCT 1970

Pagination or Media Count : 11

Abstract : The eigenvalue problem for the lateral vibrations of a rectangular plate uniformly stretched in its middle plane is investigated for the case that a dimensionless parameter epsilon which measures the relative importance of the bending stiffness in comparison to the tension is small compared to one. The singular perturbation problem is solved by the method of matched asymptotic expansions. In the first-order solution the eigenvalues (eigen-frequencies) of an ideal membrane are obtained, as was to be expected. The second-order solution, however, shows the influence of a small bending stiffness on the eigenfrequencies of the membrane. (Author)

Descriptors :   (*MEMBRANES, VIBRATION), BENDING, RECTANGULAR BODIES, TENSILE PROPERTIES, ASYMPTOTIC SERIES, NUMERICAL ANALYSIS, WEST GERMANY

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE