High-frequency longitudinal vibrations of elastic rods
type: Item
instance of: scholarly article
title: High-frequency longitudinal vibrations of elastic rods
zbMATH Open document ID: 0621.73064
DOI: 10.1016/0021-8928(86)90129-2
author: K. C. Le
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: One-dimensional equations are constructed for the high-frequency longitudinal vibrations of elastic rods. Problems in a section are formulated to determine the ''effective'' elastic characteristics of the rod. In the case of a circular rod, the elastic characteristics, dispersion curve, and spectrum are found. Comparisons are made with analogous results of the three-dimensional theory of elasticity and with experiment.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 4007844
zbMATH Keywords: effective elastic characteristics
zbMATH Keywords: long-wave vibration branches
zbMATH Keywords: average Lagrangian
zbMATH Keywords: One-dimensional equations
zbMATH Keywords: high-frequency longitudinal vibrations
zbMATH Keywords: elastic rods
zbMATH Keywords: circular rod
zbMATH Keywords: dispersion curve
zbMATH Keywords: spectrum
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90129-2
OpenAlex ID: W1990039959
cites work: On nonlinear tensor functions in the theory of relativity
cites work: Q3323404
cites work: High-frequency long wave vibrations of elastic rods
cites work: An Experimental and Theoretical Investigation of Elastic Wave Propagation in a Cylinder
cites work: Q3965645
cites work: Axially Symmetric Waves in Elastic Rods
cites work: Dispersion of Axially Symmetric Waves in Elastic Rods
description: scientific article; zbMATH DE number 4007844