Bending of an Incomplete Annular Plate and Related Problems
نویسنده
چکیده
The usefulness of theoretical research results in design depends to a large extent upon their generality and simplicity. For this reason, closed-form solutions are presented in this paper for a number of plate bending problems, these being: (1) a sector cut from an annular plate, loaded along its straight edges; and (2) a semi-infinite plate or a circular plate subjected to concentrated moments or forces at one or more points on the edge. These problems could also be solved by series or complex variable methods, but these would, in general, give Fourier-series solutions.
منابع مشابه
Exact Analytical Solution for Bending Analysis of Functionally Graded Annular Sector Plates
In this article, an exact levy solution is presented for bending analysis of a functionally graded (FG) annular sector plate. The governing equilibrium equations are obtained based on the classical plate theory. Introducing an analytical method for the first time, the three coupled governing equilibrium equations are replaced by an independent equation in term of transverse deflection. This equ...
متن کاملAnalysis of Thermal-Bending Stresses in a Simply Supported Annular Sector Plate
The present article deals with the analysis of thermal-bending stresses in a heated thin annular sector plate with simply supported boundary condition under transient temperature distribution using Berger’s approximate methods. The sectional heat supply is on the top face of the plate whereas the bottom face is kept at zero temperature. In this study, the solution of heat conduction is obtained...
متن کاملBending Solution for Simply Supported Annular Plates Using the Indirect Trefftz Boundary Method
This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory. The governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. The Trefftz method employs the complete set of solu...
متن کاملAnalytical and Numerical Modelling of the Axisymmetric Bending of Circular Sandwich Plates with the Nonlinear Elastic Core Material
Herein paper compares the analytical model with the FEM based numerical model of the axisymmetric bending of circular sandwich plates. Also, the paper describes equations of the circular symmetrical sandwich plates bending with isotropic face sheets and the nonlinear elastic core material. The method of constructing an analytical solution of nonlinear differential equations has been described. ...
متن کاملStatic Analysis of Functionally Graded Annular Plate Resting on Elastic Foundation Subject to an Axisymmetric Transverse Load Based on the Three Dimensional Theory of Elasticity
In this paper, static analysis of functionally graded annular plate resting on elastic foundation with various boundary conditions is carried out by using a semi-analytical approach (SSM-DQM). The differential governing equations are presented based on the three dimensional theory of elasticity. The plate is assumed isotropic at any point, while material properties to vary exponentially thro...
متن کامل