COMPOUND BENDING OF INHOMOGENEOUS THIN PLATES IN NONUNIFORM TEMPERATURE FIELD | ||||
| The International Conference on Applied Mechanics and Mechanical Engineering | ||||
| Article 98, Volume 15, 15th International Conference on Applied Mechanics and Mechanical Engineering., May 2012, Page 1-8 PDF (135.97 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/amme.2012.37256 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| A. N. Tyurehodzhayev1; G. K. Kalzhanova2 | ||||
| 1Professor, Department of Applied Mechanics and Principles of Machinery Engineering, the Kazakh National Technical University named after K.I. Satpayev, Almaty, Kazakhstan. | ||||
| 2Head of Educational-Methodical Department, Zhetysu State University named after I. Zhansugurov, Taldykorgan, Kazakhstan. | ||||
| Abstract | ||||
| ABSTRACT The particular interest in the mechanics of deformable solid are the problems associated with the bends of flexible plates and various flexible shells working in non-uniform temperature field. Such problems are commonly encountered in applied problems of the construction, oil-field, mechanical engineering, water and air transport. During mathematical review of such kind of problems you have to deal with systems of linear differential equations with variable coefficients and nonlinear differential equations, and making analytical solution of which represents considerable mathematical difficulties. Analytical solutions of such problems can be made by the method of partial discretization, the method that has been derived by one of the authors of this article based on the theory of generalized functions. The paper considers the problem of thermoelasticity of inhomogeneous circular flexible plate in the axially symmetric temperature field by taking into account the influence of bending tension and change of elastic properties of plate material along its thickness. The problem of compound bending of inhomogeneous circular plate exposed to the action of lateral load, under temperature changes in thickness of the plate with the influence of bending tension come to the investigation of decoupled system of differential equations, obtaining of analytical solution of which using the existing mathematical apparatus was not possible. | ||||
| Keywords | ||||
| Thin circular plates; Compound bending; Lateral load; Radial force; Deflection of the plate middle plane; Method of partial discretization of differential equations | ||||
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