On the longitudinal harmonic motion of an elastic bar embedded in an elastic half-space
type: Item
instance of: scholarly article
title: On the longitudinal harmonic motion of an elastic bar embedded in an elastic half-space
zbMATH Open document ID: 0604.73060
DOI: 10.1016/0020-7683(87)90060-6
author: R. K. N. D. Rajapakse
author: A. H. Shah
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: The present study is concerned with the motion of a long cylindrical elastic bar which is partially embedded in a homogeneous elastic half- space and subjected to a harmonic axial load. Initially Green's functions corresponding to axisymmetric harmonic ring loads are derived and presented explicitly. It is found that the direct extension of elastostatic solution schemes to solve elastodynamic problems may lead to erroneous solutions due to the inability of these algorithms to properly account for inertia effects. Some discrepancies in existing solutions with respect to the inertia component of the bar are shown. An efficient solution scheme, based on Lagrange's equation of motion and a discretization technique, is presented to solve the title problem. Numerical results are presented to illustrate the influence of bar flexibility, mass density, geometry, and frequency of excitation on the axial impedance of the system.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3976516
zbMATH Keywords: generalization of load transfer model
zbMATH Keywords: convergence
zbMATH Keywords: motion of a long cylindrical elastic bar
zbMATH Keywords: homogeneous elastic half-space
zbMATH Keywords: harmonic axial load
zbMATH Keywords: Initially Green's functions
zbMATH Keywords: axisymmetric harmonic ring loads
zbMATH Keywords: Lagrange's equation of motion
zbMATH Keywords: discretization technique
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90060-6
OpenAlex ID: W1984942404
description: scientific article; zbMATH DE number 3976516