Dynamic snap-through of an elastic shell subjected to a pulsed load
type: Item
instance of: scholarly article
title: Dynamic snap-through of an elastic shell subjected to a pulsed load
zbMATH Open document ID: 0711.73106
DOI: 10.1016/0021-8928(88)90063-9
published in: Journal of Applied Mathematics and Mechanics
publication date: 1988-01-01T00:00:00Z
review text: Dynamic instability ``in the large'' is investigated for an elastic shallow shell subjected to a pulsed load (PL) and a more general nonlinear elastic continuous conservative system with potential energy of the Rayleigh friction and a given initial velocity. An energy approach is used to analyse the dynamic snap-through (DS) of the nonlinear elastic system subjected to a stationary step load. The problem is considered in an exact infinite-dimensional formulation. By using the concept of an equilibrium stability trough and reserve, definitions are given of the dynamic stability of a system, the critical PL of its DS and the astatic critical PL. The latter is determined from the stationary problem and yields the lower bound for those PL values for which DS occurs.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 4170283
zbMATH Keywords: shallow shell
zbMATH Keywords: nonlinear elastic continuous conservative system
zbMATH Keywords: potential energy
zbMATH Keywords: Rayleigh friction
zbMATH Keywords: given initial velocity
zbMATH Keywords: energy approach
zbMATH Keywords: exact infinite-dimensional formulation
zbMATH Keywords: equilibrium stability trough and reserve
author: Leonid S. Srubshchik
MaRDI profile type: Publication
full work available at URL: 0021-8928(88)90063-9
OpenAlex ID: W1989916663
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description: scientific article; zbMATH DE number 4170283