Twin-characteristic-parameter solution for dynamic buckling of columns under elastic compression wave.
type: Item
instance of: scholarly article
title: Twin-characteristic-parameter solution for dynamic buckling of columns under elastic compression wave.
zbMATH Open document ID: 1088.74525
DOI: 10.1016/S0020-7683(01)00245-1
author: Wenying Tian
author: An-wen Wang
published in: International Journal of Solids and Structures
publication date: 2002-01-01T00:00:00Z
review text: The authors derive two critical conditions for the dynamic buckling of columns on the base of the law of energy transformation and conservation at the instant when the dynamics occurs. The first condition is that the amount of the released compressive deformation energy must be equal to the sum of the buckling deformation energy and the buckling kinetic energy. The second condition is that the rate of energy transformation meets the energy conservation law in the instant course of the buckling. The governing equations, boundary and continuity conditions are derived bu using the first critical condition. A supplementary restraint equation at the front of the compression wave is derived by use of the second critical condition. The coupled characteristic equations for the two characteristic parameters are derived in accordance with the condition under which the governing equations together with boundary, continuity and supplementary restraint conditions have a nontrivial solution. The dynamic buckling modes, the critical load parameter and the dynamic characteristic parameter are calculated accurately from the solutions of the characteristic equations.
Mathematics Subject Classification ID: 74H60
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1747348
zbMATH Keywords: instability criterion
zbMATH Keywords: energy transformation
zbMATH Keywords: energy conservation
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: s0020-7683(01)00245-1
OpenAlex ID: W2000062576
description: scientific article; zbMATH DE number 1747348