Application of the Galerkin and Ritz methods to nonconservative problems of elastic stability
β Scribed by Mark Levinson
- Publisher
- Springer
- Year
- 1966
- Tongue
- English
- Weight
- 579 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0044-2275
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π SIMILAR VOLUMES
The difference between the three variational equations of motion and the dynamic analogue of the yon Karman equations governing the non-linear vibration of plates is considered in the context of the Rayleigh-Ritz and Galerkin methods. The non-linear free vibrations of two types of plates with in-pla
Penalty combination of the Ritz~3alerkin and finite difference methods is presented for solving elliptic boundary value problems with singularities. The superconvergence rate, O(h2-~), of solution derivatives by the combination can be achieved while using quasiuniform rectangular difference grids, w
This paper presents six combinations of the Ritz-Galerkin method and the finite difference method for solving elliptic boundary value problems. Not only optimal convergence rates of solutions but also superconvergence rates of solution derivatives can be achieved. The non-conforming combination and