Author: Carl Conrad SteyerPublisher:
ISBN:
Category : Elastic waves
Languages : en
Pages : 184
Book Description
The propagation of longitudinal waves in long elastic rods
Author: Carl Conrad SteyerPublisher:
ISBN:
Category : Elastic waves
Languages : en
Pages : 184
Book Description
On the dispersion of longitudinal waves in elastic rods of rectangular cross-section according to the one-dimensional theory of wave propagation based on the 'methods of internal constraints'
Author: E. G. VolterraAn engineering theory of longitudinal wave propagation in cylindrical elastic rods
Author: E. C. ZachmanoglouPropagation of a Large Amplitude Longitudinal Wave in a Semi-infinite Elastic Rod
Author: K. C. ValanisPublisher:
ISBN:
Category : Elastic rods and wires
Languages : en
Pages : 18
Book Description
A general solution is given to the problem of large amplitude wave propagation in a semi-infinite elastic thin rod. The solution is obtained by the method of characteristics. An explicit form of the solution is given in the case where an end velocity, which is a step function of time, is prescribed. More general types of end velocity can be accommodated provided that the variation with time is monotonically increasing; otherwise shocks will form and the present solution is no longer valid.
Propagation of Longitudinal Waves in a Cylindrical Rod Including the Effect of a Surrounding Elastic Medium
Author: Anders BodareA Comparison of the Propagation of Longitudinal Waves in Rods of Visco-elastic Material
Author: J. A. MorrisonInvestigation of Longitudinal Wave Propagation in an Elastic Rod with Coulomb Friction
Author: Charles S. CorneliusPublisher:
ISBN:
Category : Coulomb functions
Languages : en
Pages : 140
Book Description
Wave Propagation in Elastic Solids
Author: J. D. AchenbachPublisher: Elsevier
ISBN: 1483163733
Category : Science
Languages : en
Pages : 440
Book Description
Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Elastic Waves Produced by Longitudinal Impact on a System with Symmetrically Branched Rods
Author: James P. LeePublisher:
ISBN:
Category :
Languages : en
Pages : 25
Book Description
The problem of the propagation of a longitudinal elastic wave which is travelling along a thin uniform rod at the end of which a branched, symmetrically arranged system of rods is joined is treated analytically. The symmetry condition greatly simplifies the analysis and enables the problem to be treated as a two-dimensional one. The theory used for the propagation of longitudinal waves along the rods is the simple one-dimensional one while flexural wave propagation is treated by the Timoshenko theory. The numerical results obtained with this analysis are found to agree well with experimental observations. (Author-PL).
Wave Propagation in Elastic Solids
Author: Jan AchenbachPublisher: Elsevier
ISBN: 0080934714
Category : Science
Languages : en
Pages : 440
Book Description
The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.