
Accession Number : AD0711962
Title : APPLICATION OF RITZ'S MTHOD TO THIN ELASTIC SHELLS ANALYSIS.
Descriptive Note : Technical rept.,
Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF ENGINEERING
Personal Author(s) : Dupuis,G. A.
Report Date : JUL 1970
Pagination or Media Count : 37
Abstract : The paper is concerned with finite element analysis of thin elastic shells described by the KoiterSanders mathematical model. The middle surface of the shell is decomposed into curved finite triangular elements, which are mapped onto straight triangles in the plane of parameters of the surface. We show that with an appropriate approximation of the given surface, rigidbody motions may be represented exactly. Nine degrees of freedom are associated with each nodal point (the vertices of the elements) and the displacement functions fulfill the conditions of regularity required by Ritz's method and assure convergence in energy. The derivation is quite general with respect to the geometry of the shell. A cylindrical shell analysis is presented as an illustrative numerical example. (Author)
Descriptors : (*ELASTIC SHELLS, *BOUNDARY VALUE PROBLEMS), STRAIN(MECHANICS), SHELLS(STRUCTURAL FORMS), STRESSES, TENSOR ANALYSIS, MATRICES(MATHEMATICS)
Subject Categories : Theoretical Mathematics
Structural Engineering and Building Technology
Distribution Statement : APPROVED FOR PUBLIC RELEASE