DERIVATION OF GRID EQUATIONS OF PLATE BENDING BY THE VARIATIONAL METHOD (VYVOD SETOCHNYKH URAVNENII IZGIBA PLASTIN VARIATSIONNYM METODOM),
Abstract
A method of applying network equations for plate deflection problems is developed. A thin plate, such as that shown in Fig. 1, is considered. The ensuing quadratic network is used for substituting summation by the rectangular formula into the integral terms of the given energy expression. Differential substitutions are accomplished by computation of central differences. The authors develop and illustrate the mechanics of defining and evaluating the summation terms. The method presented was applied to the formulation of systems of difference equations for plates of variable stiffness, anisotropic plates, contact problems, and shells. The results of the applications are to be published in subsequent articles.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 14, 1967
- Accession Number
- AD0670908
Entities
People
- A. L. Sinyavskii
- D. V. Vainberg
- I. Z. Roitfarb
- V. M. Gerashchenko
Organizations
- National Air and Space Intelligence Center