Dynamic instability in shallow arches under transversal forces and plane frames with semirigid connections
type: Item
instance of: scholarly article
title: Dynamic instability in shallow arches under transversal forces and plane frames with semirigid connections
zbMATH Open document ID: 1426.74181
DOI: 10.1155/2018/1985907
author: William Luiz Fernandes
author: Daniel Boy Vasconcellos
author: Marcelo Greco
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Structural engineering demands increasingly lighter systems, which can cause instability problems and compromise performance. A high slenderness index of a structural element makes it susceptible to instability. It is important to understand the problem, the limits of stability, and its postcritical behavior. An example that can occur in collapsed arches under a cross load is the dynamic snap-through behavior, where the structure in a given equilibrium condition jumps to a new remote equilibrium setting, causing usually sudden curvature. The semirigid connections are a source of physical nonlinearity and can influence the overall stability of the structural system, in addition to the distribution of stresses in the same system. Conventional approaches make use of static considerations. However, instability problems are inherently evolutionary processes, so a transient analysis is necessary for a complete description of structural behavior. The present work evaluates the geometrically nonlinear dynamic behavior of collapsed arches subjected to transverse force and plane frames with semirigid connections. The time domain responses, via Newmark's Method and positional formulation of the Finite Element Method, were obtained in terms of displacements, velocities, acceleration, and phase diagrams.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7018587
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1985907
OpenAlex ID: W2810348458
cites work: On the elastic stability of uniform beams and circular arches under nonconservative loading
Wikidata QID: Q129599433
description: scientific article; zbMATH DE number 7018587