Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Equilibrium of membranes elastically supported at the edges

Author: V. G. Hart
Journal: Quart. Appl. Math. 12 (1955), 408-412
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/65370
MathSciNet review: 65370
Full-text PDF

Abstract | Similar Articles | Additional Information

Abstract: The problem considered is that of finding the statical deflection of a stretched membrane, subjected to a uniform pressure on one side and elastically supported at the edges. The deflection of the membrane is supposed small and the problem reduces to solving Laplace's equation with mixed boundary conditions. Solutions are given for the cases where the bounding curve of the membrane is (i) an equilateral triangle, and (ii) a rectangle.

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73.2X

Retrieve articles in all journals with MSC: 73.2X

Additional Information

DOI: https://doi.org/10.1090/qam/65370
Article copyright: © Copyright 1955 American Mathematical Society

American Mathematical Society