Buckling of a column made of the functionally graded material with high-order polynomial mode shape

Authors

• Isaac Elishakoff, Florida Atlantic University
• Chotpong Chotpatthamanon, Florida Atlantic University
• J. N. Reddy, College of Engineering

Author Type

Faculty

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Mathematics and Mechanics of Solids

Publication Status

Version of Record

Abstract

In this study, we investigate the buckling of a column made of functionally graded materials in axial direction. The column is simply supported at both ends. The mode shape is represented by a polynomial whose power is increased from four to nine; this power only restricted by the possibility of the hand- or symbolic-manipulation. It is shown that the solutions stemming from lower-order polynomial are all contained in the solution associated with higher-order polynomials. Numerous novel solutions are uncovered that could be used as benchmark solutions versus numerous approximate techniques available for eigenvalue problems.

First Page

1745

Last Page

1759

DOI

10.1177/10812865221132006

Publication Date

8-1-2023

Recommended Citation

Elishakoff, Isaac; Chotpatthamanon, Chotpong; and Reddy, J. N., "Buckling of a column made of the functionally graded material with high-order polynomial mode shape" (2023). Faculty Scholarship. 177.
https://digitalcommons.fau.edu/faculty_papers/177