bending solution for simply supported annular plates using the indirect trefftz boundary method

Authors

amin ghannadiasl

faculty of engineering, university of mohaghegh ardabili asadollah noorzad

school of civil engineering, the university of tehran

abstract

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 solutions satisfying the governing equation. the main benefit of the trefftz boundary method is that it does not involve singular integrals because of the properties of its solution basis functions. it can therefore be classified into the regular boundary element method. the present method is simple and efficient in comparison with the other methods. in addition, the boundary conditions can be embedded in this method. finally, several numerical examples are shown to illustrate the efficiency and simplicity of the current approach.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Bending 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...

full text

buckling of viscoelastic composite plates using the finite strip method

در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....

Analysis 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...

full text

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...

full text

A Novel Method for Numerical Analysis of 3D Nonlinear Thermo-Mechanical Bending of Annular and Circular Plates with Asymmetric Boundary Conditions Using SAPM

This study is the first report of numerical solution of nonlinear bending analysis for annular and circular plates based on 3D elasticity theory with asymmetric boundary conditions using semi-analytical polynomial method (SAPM). Orthotropic annular and circular plates are subjected to transverse loading and 3D bending analysis in the presence of symmetric and asymmetric boundary conditions is s...

full text

An Analytical Approach to Thermoelastic Bending of Simply Supported Advanced Ribbed Composite Plates

In the present paper, an analytical approach is used to study the thermal deflections of a simply supported composite plate with a beam-like stiffener. The results for a plate–beam system exposed to a sinusoidal thermal load is used to study the effects of the low Earth orbit (LEO) thermal conditions on the composite plates, which have been used in the structure of satellites and spacecraft. To...

full text

My Resources

Save resource for easier access later


Journal title:
civil engineering infrastructures journal

جلد ۴۹، شماره ۱، صفحات ۱۲۷-۱۳۸

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023