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 demonstrates how to find the critical buckling load value of thin plates with or without a hole under different boundary conditions using the Galerkin method. The use of symbolic software is essential due to the lengthy computations involved because of the complexity of the problems. Firstly, the lateral deflection of the plate is expressed in a series of polynomials each of which satisfies the given boundary conditions. Then by using the Galerkin method, the coefficients of these polynomials are found and with the help of symbolic algebra system, the matrices for the corresponding eigenvalue problem are built from which the buckling loads (eigenvalues) are determined. Since this analysis involves very complex calculations, it is almost impossible to carry out all the computations involved without the aid of symbolic software.
Disciplines
Aerospace Engineering | Engineering | Mechanical Engineering
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Thirupachoor Comerica, Srider, "Buckling Analysis Of Thin Plates With Or Without A Hole Under Arbitrary Boundary Conditions Using The Galerkin Method" (2011). Mechanical and Aerospace Engineering Theses. 45.
https://mavmatrix.uta.edu/mechaerospace_theses/45
Comments
Degree granted by The University of Texas at Arlington