Large Deflections of Axisymmetric Circular Membranes,
Abstract
A nonlinear relaxation method is employed to solve the nonlinear partial differential equations governing the large deflection response of various axisymmetric circular membranes. The method proposed here is an iterative approach used in conjunction with finite difference approximations and in its simplest form consists of only two operators. In principle, this method offers a technique of systematically reducing the errors at each nodal point for each algebraic equation to some acceptable level. In addition, the method, simple in logic but powerful in application, is believed to be applicable to solve general types of nonlinear equations. The problems solved herein include uniformly loaded circular membrane, annular membrane with rigid central disc, and annular membrane with free inner edge. The numerical results obtained in this paper compare quite well with other results given in the literature. Moreover, many of the results obtained here may be readily used in practical engineering design. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1970
- Accession Number
- AD0714153
Entities
People
- Nicholas Perrone
- Robert Kao
Organizations
- The Catholic University of America