Transverse Vibration of Mindlin Plates on Two-Parameter Foundations by Analytical Trapezoidal p-Elements

An analytical trapezoidal hierarchical element for the transverse vibration of Mindlin plates resting on two-parameter foundations is presented. Legendre orthogonal polynomials are used as enriching shape functions to avoid the shear-locking problem and to improve considerably the computational efficiency. Element matrices are integrated in closed form eliminating the numerical integration errors conventionally found. With the C supra 0 continuity requirement, the element can be used to analyze any triangular and polygonal plates without difficulty, while the Kirchhoff p-version elements requiring C supra 1 continuity are not as versatile. The computed natural frequencies for rectangular, skew, trapezoidal, triangular, annular, and polygonal plates on two-parameter foundations show that the convergence of the proposed element is very fast compared to the conventional linear finite elements with respect to the number of degrees of freedom used. Many numerical examples are given.

Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/07339399
Authors:
- Leung, A Y T
- Zhu, B
Publication Date: 2005-11

Language

English

Media Info

Media Type: Print
Features: Appendices; Figures; References; Tables;
Pagination: pp 1140-1145
Serial:
- Journal of Engineering Mechanics
- Volume: 131
- Issue Number: 11
- Publisher: American Society of Civil Engineers
- ISSN: 0733-9399
- EISSN: 1943-7889
- Serial URL: http://ascelibrary.org/journal/jenmdt

Subject/Index Terms

TRT Terms: Finite element method; Foundations; Mathematical analysis; Plates (Engineering); Polynomials; Vibration
Uncontrolled Terms: Computational efficiency
Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

Accession Number: 01010769
Record Type: Publication
Files: TRIS
Created Date: Nov 8 2005 8:43PM