Accession Number : AD0774659

Title :   A Variational Principal, the Finite Element Method, and Optimal Structural Design for Given Deflection.

Descriptive Note : Technical rept. no. 11,

Corporate Author : CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF APPLIED MECHANICS AND ENGINEERING SCIENCES

Personal Author(s) : Hegemier,G. A. ; Tang,H. T.

Report Date : DEC 1973

Pagination or Media Count : 31

Abstract : The report is concerned with the minimum weight design of elastic structures with deflection constraints. A variational principle is derived from which optimality (necessary) criteria can be obtained in one-dimensional (beams, trusses, frames, etc.), two-dimensional (plates, shells, etc.), or three-dimensional cases. The principle is particularly well suited for problems involving single or multiple pointwise deflection constraints. The use of a variational principle suggests the finite element method as a practical computational technique. In combination with an iterative scheme, the efficacy of the approach is demonstrated for solid and sandwich plates under general load and a deflection constraint at an arbitrary point within the plate domain. (Author)

Descriptors :   *Structures, *Deflection, Loads(Forces), Beams(Structural), Trusses, Shells(Structural forms), Plates, Iterations

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE