A Variational Principal, the Finite Element Method, and Optimal Structural Design for Given Deflection.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1973
- Accession Number
- AD0774659
Entities
People
- Gilbert A. Hegemier
- H. T. Tang
Organizations
- University of California, San Diego