Problem of an equivalent rod in nonlinear theory of springs
type: Item
instance of: scholarly article
title: Problem of an equivalent rod in nonlinear theory of springs
zbMATH Open document ID: 0586.73019
DOI: 10.1016/0021-8928(83)90006-0
published in: Journal of Applied Mathematics and Mechanics
publication date: 1984-01-01T00:00:00Z
review text: A spring with a large number of coils can approximately be considered as a one-dimensional continuum (an equivalent rod), whose particles are the coils of the spring. The problem of an equivalent rod is to construct the equations describing this continuum and to calculate the characteristics of the equivalent rod by means of the coil geometry and the elastic properties of the spring material. The problem of an equivalent rod has been investigated thoroughly in linear theory. In the geometrically nonlinear theory it remains substantially open (only certain exact solutions of problems on the tension, torsion, and bending of springs were known). The problem of an equivalent rod is solved by a variational- asymptotic method.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 3940809
zbMATH Keywords: one-dimensional continuum
zbMATH Keywords: equivalent rod
zbMATH Keywords: characteristics
zbMATH Keywords: coil geometry
zbMATH Keywords: elastic properties
zbMATH Keywords: spring
zbMATH Keywords: geometrically nonlinear theory
zbMATH Keywords: variational-asymptotic method
author: V. Berdichevsky
author: Vladislav G. Sutyrin
MaRDI profile type: Publication
full work available at URL: 0021-8928(83)90006-0
OpenAlex ID: W2051735193
cites work: Q3929152
cites work: On nonlinear tensor functions in the theory of relativity
description: scientific article; zbMATH DE number 3940809