Graduation Semester and Year

2011

Language

English

Document Type

Thesis

Degree Name

Master of Science in Aerospace Engineering

Department

Mechanical and Aerospace Engineering

First Advisor

Seiichi Nomura

Abstract

This thesis work deals with the study of plates with various geometries and different boundary conditions. The method of study is carried out mainly using the Galerkin method combined with the help of the symbolic algebraic software, Mathematica. In this thesis, flat plates with rectangular and triangular geometries are subjected to uniform load acting normal to their surfaces. The lateral deflection of the plates is expressed in a series of polynomials which satisfy the homogenous boundary conditions. Mathematica is used in handling the algebraic operations to solve for the coefficients and generating the trial functions. The maximum deflection of the plate for various geometries and boundary conditions is determined. Then the results obtained are compared with the exact solution which is carried out with the use of the finite element analysis software, Ansys. The results obtained from the present method show good agreement with those from Ansys.

Disciplines

Aerospace Engineering | Engineering | Mechanical Engineering

Comments

Degree granted by The University of Texas at Arlington

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