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Embry Riddle Aeronautical University

Thermal Post-Buckling and Vibration Analysis of Thermally Buckled Antisymmetrically Laminated Beams Using a 20 DOF Finite Element

Abstract

dc:description.abstract

<p>The purpose of this study is to use the finite element method to analyze thermal buckling, post-buckling, and vibrations of thermally buckled composite beams including shear deformation. The beam element used has ten degrees of freedom at each node: axial displacement, transverse displacement due to bending and shear, twisting angle, inplane shear rotation and their derivatives with respect to x. Hermitian polynomials and Lagrange's equation were used to derive the equations of motion. The equations of motion were divided into static and dynamic parts. For buckling analysis, the eigenvalue problem was solved for the critical temperature. The scaled first mode shape was used as the trial displacement vector for post-buckling deflection analysis, which employed a Newton-Raphson type iterative procedure. Once the final static deflection was achieved, the dynamic part of the equation of motion was used to solve the eigenvalue problem for the natural frequencies and mode shapes of the thermally buckled beams.</p>

Degree

thesis:*
Name thesis:degree_name
Master of Science in Aerospace Engineering
Level thesis:degree_level
Thesis - Open Access
Discipline thesis:degree_discipline
Graduate Studies
Year
1992

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Mizuno, Misao
Contributors dc:contributor
  • Habib Eslami
  • Howard D. Curtis
  • Frank J. Radosta

Subjects

dc:subject × 5

Identifiers

dc:identifier.*
Repository record dc:identifier
https://commons.erau.edu/db-theses/253
OAI identifier oai:identifier
oai:commons.erau.edu:db-theses-1204

Chain of custody

source
Harvested from
Embry Riddle Aeronautical University
Base URL
commons.erau.edu/do/oai/
Last updated
2026-07-27
Source record
OAI-PMH GetRecord
citation

Mizuno, Misao. Thermal Post-Buckling and Vibration Analysis of Thermally Buckled Antisymmetrically Laminated Beams Using a 20 DOF Finite Element. Thesis - Open Access thesis, 1992. https://commons.erau.edu/db-theses/253