Large deformation and postbuckling behavior of an initially deformed rod
type: Item
instance of: scholarly article
title: Large deformation and postbuckling behavior of an initially deformed rod
zbMATH Open document ID: 0625.73044
DOI: 10.1016/0020-7462(87)90040-0
author: Jianyong Qiao
author: Sumit K. Garg
published in: International Journal of Non-Linear Mechanics
publication date: 1987-01-01T00:00:00Z
review text: Analytical and experimental procedures are used to investigate the large deformation of an initially deformed elastic rod subject to longitudinal and gravitational loads. The ends of the rod rest on simple supports and are connected by a linear spring. Predictions of the system's large deformation behavior, including snap-through from a buckled configuration to a lower-energy equilibrium state, are obtained through a direct application of the minimum potential energy principle. The minimization is performed using Powell's optimization routine [\textit{M. J. D. Powel}, Comput. J. 7, 155-162 (1964; Zbl 0132.117)]. Analytically determined values of displacement are compared with the exact solution for the special case of an ideal column, and with experimental results for various rod/spring configurations. A simplified approach for predicting snap-through is described in the Appendix.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 4016322
zbMATH Keywords: initially deformed elastic rod
zbMATH Keywords: longitudinal and gravitational loads
zbMATH Keywords: snap-through
zbMATH Keywords: lower-energy equilibrium state
zbMATH Keywords: minimum potential energy principle
zbMATH Keywords: Powell's optimization routine
MaRDI profile type: Publication
full work available at URL: 0020-7462(87)90040-0
OpenAlex ID: W1993593673
description: scientific article; zbMATH DE number 4016322