Buckling of axially graded nonlocal columns: Closed-form solutions

Author Type

Outside Researcher

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

AIAA Journal

Publication Status

Version of Record

Abstract

A study proposes a polynomial buckling mode and determine the corresponding Young’s modulus and buckling load so as to identically satisfy the governing equation and boundary conditions. The appropriate boundary conditions are zero deflection and bending moment. Buckling of a local clamped–free axially graded column has been investigated in the study. Assuming a fourth-degree polynomial buckling mode, the researchers uncovered three different distributions of the elastic modulus that share the same expression for the buckling load, yet the buckling modes are different. The researchers also investigate the same problem assuming a fifth-degree polynomial mode shape and find six different distributions of the elastic modulus that share the same expression for the buckling load.

First Page

1119

Last Page

1124

DOI

10.2514/1.J059941

Publication Date

1-1-2021

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