Finite amplitude oscillations of a simple rubber support system
type: Item
instance of: scholarly article
title: Finite amplitude oscillations of a simple rubber support system
zbMATH Open document ID: 0534.73026
DOI: 10.1007/BF00251508
published in: Archive for Rational Mechanics and Analysis
publication date: 1983-01-01T00:00:00Z
review text: Exact solutions of dynamic problems in hyperelasticity are few. Although not strictly in that class (distributed mass is disregarded; only end- point mass is considered); the exact solutions presented here are very interesting; they involve some known special functions (Heuman's functions) and their generalizations. Also, particular results derived here as corollaries may have distinct practical relevance, and not only because they correct available 'approximations'. The paper may be of value also to people interested in special functions.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74K05
Mathematics Subject Classification ID: 33E99
zbMATH DE Number: 3848705
zbMATH Keywords: finite amplitude oscillations
zbMATH Keywords: simple rubber support system
zbMATH Keywords: rubber spring
zbMATH Keywords: exact solutions
zbMATH Keywords: special functions
zbMATH Keywords: Heuman's functions
zbMATH Keywords: generalizations
author: Millard F. Beatty
reviewed by: Gianfranco Capriz
MaRDI profile type: Publication
cites work: Some Properties of Heuman's Function Λ0
cites work: Some Series and Bounds for Incomplete Elliptic Integrals
cites work: Free vibrations of a loaded rubber string
description: scientific article; zbMATH DE number 3848705