An explicit time integration finite element method is proposed to investigate dynamical analysis of Kirchhoff plates, where the Morley element is used for spatial discretization and the second-order central scheme for time discretization. Certain error estimates in the energy norm are achieved. A nu
Vibration analysis of Kirchhoff plates by the Morley element method
โ Scribed by Jianguo Huang; Ling Guo; Zhongci Shi
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 275 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
Vibration analysis of Kirchhoff plates is of great importance in many engineering fields. The semi-discrete and the fully discrete Morley element methods are proposed to solve such a problem, which are effective even when the region of interest is irregular. The rigorous error estimates in the energy norm for both methods are established. Some reasonable approaches to choosing the initial functions are given to keep the good convergence rate of the fully discrete method. A number of numerical results are provided to illustrate the computational performance of the method in this paper.
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