Accession Number : AD0714153

Title :   Large Deflections of Axisymmetric Circular Membranes,

Corporate Author : CATHOLIC UNIV OF AMERICA WASHINGTON D C

Personal Author(s) : Kao,Robert ; Perrone,Nicholas

Report Date : OCT 1970

Pagination or Media Count : 22

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)

Descriptors :   (*STRUCTURAL MEMBERS, STRESSES), (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), DEFORMATION, LOADS(FORCES), DEFLECTION, NUMERICAL ANALYSIS, MEMBRANES, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE