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Three-dimensional elasticity solutions to some orthotropic plate problems

✍ Scribed by T.M. Teo; K.M. Liew

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
500 KB
Volume
36
Category
Article
ISSN
0020-7683

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✦ Synopsis

This paper presents a three!dimensional analysis of rectangular orthotropic plates by employing the di}erential quadrature "DQ# method[ The derivation of the governing equations from the governing equa! tions and the stressÐstrain relationship of the three!dimensional elasticity model is detailed[ The constrained conditions of the orthotropic plate edges are given[ The governing equations and boundary conditions are _rst normalized and discretized according to the DQ procedure[ Example problems pertaining to the bending\ buckling and free vibration of orthotropic plates with generic boundary conditions are selected to illustrate the simplicity and applicability of the DQ method[ The convergence characteristics of the DQ method are _rst obtained based on numerical studies\ after which\ the DQ solutions are compared\ where possible\ with exact solutions[ It is found that the DQ method yields accurate results for the plate problems under investigation[

πŸ“œ SIMILAR VOLUMES

Function theoretic solutions to problems
Function theoretic solutions to problems of orthotropic elasticity
✍ Robert P. Gilbert; Lin Wei πŸ“‚ Article πŸ“… 1985 πŸ› Springer Netherlands 🌐 English βš– 431 KB

The plane strain problem for a two dimensional orthotropic elastic body is investigated. In particular analytic representations for the solution of the displacement boundary value problem and the stress boundary value problems are found. To this end, the Navier equations are reducrd by means of comp