Accession Number : AD0785914

Title :   Influence of Shear on Non-Linear Behavior of an Orthotropic Thin Shallow Rectangular Panel,

Descriptive Note : Technical rept.,

Corporate Author : MASSACHUSETTS UNIV AMHERST SCHOOL OF ENGINEERING

Personal Author(s) : Hsueh,Pei-Kao ; Nash,William A.

Report Date : JUL 1974

Pagination or Media Count : 103

Abstract : Using the energy method and a variational theorem, a set of force equilibrium differential equations as well as the required natural boundary conditions for an orthotropic shallow rectangular panel acting in the non-linear large deflection range with a consideration of transverse shear deformation effects have been derived. A systematic numerical approach is developed to solve these equations. The numerical solutions are obtained by using the finite difference approximation to form the finite difference equations and then the Newton-Raphson iteration scheme is employed to solve this system of nonlinear simultaneous algebraic equations. Detail has been given as to the application of the procedures developed to different load and support conditions for given shallow shell geometries. Snap-through buckling loads for spherical panels with a rectangular plan-form base have been computed for a wide range of shell geometries for both isotropic and orthotropic materials. Snap-through buckling loads for cylindrical panels are also demonstrated to show the broad capability of the computer program. (Modified author abstract)

Descriptors :   *Elastic shells, *Panels, *Buckling, Shells(Structural forms), Loads(Forces), Finite difference theory, Computer programs, FORTRAN

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE