Stability analysis for plates using the multivariable spline element method
Abstract
The multivariable spline element method is used in this paper to solve the stability problems of plates and beams. The bicubic spline functions are employed to construct the bending moments, twisting moments and transverse displacements field. The spine eigenvalue equations with multiple variables are derived based on the Hellinger-Reissner mixed variations principle. Some numerical examples are given, the results are good agreement with other methods.
- Publication:
-
Computers and Structures
- Pub Date:
- December 1992
- Bibcode:
- 1992CoStr..45.1073S
- Keywords:
-
- Finite Element Method;
- Plate Theory;
- Spline Functions;
- Structural Stability;
- Bending Moments;
- Bending Theory;
- Eigenvalues;
- Twisting;
- Variational Principles;
- Structural Mechanics