
Accession Number : ADA134532
Title : An Accurate Theory and Simple Fourth Order Governing Equations for Orthotropic and Composite Cylindrical Shells.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Cheng,Shun ; He,F B
PDF Url : ADA134532
Report Date : Oct 1983
Pagination or Media Count : 29
Abstract : A pair of complex conjugate fourthorder differential equations that govern the deformation of orthotropic circular cylindrical shells is presented. As shown in the paper, this pair of equations is as accurate as equations can be within the scope of the Kirchhoff assumptions. Also presented for the first time are several pairs of accurate and simple fourth order equations which can be systematically and explicitly deduced from the previously mentioned pair of equations. Because of their accuracy and simplicity, these simple equations are of practical importance. The advantage in applying those equations presented herein is that their solutions can be easily found in simple closed forms. This considerably simplifies calculations for solving problems of orthotropic and laminated composite cylindrical shells. Unlike other known equations in the literature, their general solutions remain unknown because of the algebraic complexities involved. (Author)
Descriptors : *Problem solving, Partial differential equations, Composite structures, Theory, Accuracy, Cylindrical bodies, Shells(Structural Forms)
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE