Approximative formula for post-buckling analysis of non-linearly elastic columns with superellipsoidal cross-sections-Reference-Cited by-同舟云学术

Approximative formula for post-buckling analysis of non-linearly elastic columns with superellipsoidal cross-sections

Published:2011-03 Issue:5 Volume:30 Page:409-415
ISSN:0731-6844
Container-title:Journal of Reinforced Plastics and Composites
language:en
Short-container-title:Journal of Reinforced Plastics and Composites

Author:

Brojan Mihael¹,Kosel Franc²

Affiliation:

1. Laboratory for Nonlinear Mechanics, Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia,

2. Laboratory for Nonlinear Mechanics, Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia

Abstract

Approximative formulas for post-buckling analysis of non-linearly elastic columns made of Ludwick material are developed for free-clamp, hinge—hinge, and clamp—clamp supports. The columns have a superellipsoidal cross-section. Comparison between analytically obtained and numerical solutions showed good agreement. Additionally, post-buckling configurations for all three types of columns and materials are given in diagrams, from where the influence of material constants on the shape of the deflection curve can be examined.

Publisher

SAGE Publications

Subject

Materials Chemistry,Polymers and Plastics,Mechanical Engineering,Mechanics of Materials,Ceramics and Composites

Link

http://journals.sagepub.com/doi/pdf/10.1177/0731684410397897

Reference10 articles.

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3. Non-prismatic Non-linearly Elastic Cantilever Beams Subjected to an End Moment

4. Exact Large Deflection Analysis of Nonprismatic Cantilever Beams of Nonlinear Bimodulus Material Subjected to Tip Moment

5. Bending Analysis of Nonlinear Material Fibers with a Generalized Elliptical Cross-section

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