Elastic Wave Propagation in Inhomogeneous Bars of Several Sections

1973 ◽  
Vol 40 (4) ◽  
pp. 1050-1054 ◽  
Author(s):  
J. E. Wade ◽  
P. J. Torvik
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Approximate Method ◽  
Cross Sections ◽  
Low Frequency ◽  
Frequency Spectra ◽  
Frequency Wave ◽  
Angle Section ◽  
Wave Trains ◽  
Inhomogeneous Composite

An approximate method is given for analyzing the propagation of low-frequency wave trains in prismatic bars of cross sections which can be approximated through subdivision into rectangular elements. The method may be applied to inhomogeneous (composite) bars, for it is not required that each such element have the same properties. Results from the new method compare favorably with results previously obtained for a rectangular bar. Frequency spectra for several composite bars, including a bar of thick angle section, are given.

Characteristics of Band Gap and Low-frequency Wave Propagation of Mechanically Tunable Phononic Crystals with Scatterers in Periodic Porous Elastomeric Matrices

2021 ◽  
pp. 1-34
Author(s):  
Shaowu Ning ◽  
Dongyang Chu ◽  
Fengyuan Yang ◽  
Heng Jiang ◽  
Zhanli Liu ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Coupling Effect ◽  
Low Frequency ◽  
Phononic Crystals ◽  
Band Gaps ◽  
Dynamic Responses ◽  
Acoustic Metamaterials ◽  
Frequency Wave ◽  
Strong Coupling Effect ◽  
The Matrix

Abstract The characteristics of passive responses and fixed band gaps of phononic crystals (PnCs) limit their possible applications. For overcoming this shortcoming, a class of tunable PnCs comprised of multiple scatterers and soft periodic porous elastomeric matrices are designed to manipulate the band structures and directionality of wave propagation through the applied deformation. During deformation, some tunable factors such as the coupling effect of scatterer and hole in the matrix, geometric and material nonlinearities, and the rearrangement of scatterer are activated by deformation to tune the dynamic responses of PnCs. The roles of these tunable factors in the manipulation of dynamic responses of PnCs are investigated in detail. The numerical results indicate that the tunability of the dynamic characteristic of PnCs is the result of the comprehensive function of these tunable factors mentioned above. The strong coupling effect between the hole in the matrix and the scatterer contributes to the formation of band gaps. The geometric nonlinearity of matrix and rearrangement of scatterer induced by deformation can simultaneously tune the band gaps and the directionality of wave propagation. However, the matrix's material nonlinearity only adjusts the band gaps of PnCs and does not affect the directionality of wave propagation in them. The research extends our understanding of the formation mechanism of band gaps of PnCs and provides an excellent opportunity for the design of the optimized tunable PnCs and acoustic metamaterials.

Low-frequency wave propagation in an elastic plate floating on a two-layered fluid

Wave Motion ◽  
2016 ◽  
Vol 62 ◽  
pp. 98-113 ◽  
Author(s):  
D.A. Indejtsev ◽  
M.G. Zhuchkova ◽  
D.P. Kouzov ◽  
S.V. Sorokin
Keyword(s):  
Wave Propagation ◽  
Elastic Plate ◽  
Low Frequency ◽  
Frequency Wave ◽  
Layered Fluid

Comparison of Analyses for Moored Systems in Random Waves

1987 ◽  
Vol 109 (2) ◽  
pp. 133-141
Author(s):  
R. Eatock Taylor ◽  
P. Sincock
Keyword(s):  
Transfer Functions ◽  
Probability Distributions ◽  
Low Frequency ◽  
Response Probability ◽  
Random Waves ◽  
Frequency Spectra ◽  
Frequency Wave ◽  
Strongly Nonlinear ◽  
Motion Responses ◽  
Wave Drift Forces

This paper investigates methods of simulating the combined wave frequency and low-frequency wave drift forces and motion responses of floating systems. This is motivated by the requirement for estimates of response statistics for systems on nonlinear moorings. Results are given for a linear system for which experimental data are available (an articulated column model); and for a moored barge on mildly and strongly nonlinear moorings. Estimates are obtained for low-frequency spectra, linear and quadratic transfer functions, response probability distributions, and peak distributions.

Very low frequency wave propagation numerical model

2013 ◽  
Author(s):  
Guillaume Jamet ◽  
Claude Guennou ◽  
Laurent Guillon ◽  
Jean-Yves Royer
Keyword(s):  
Wave Propagation ◽  
Numerical Model ◽  
Low Frequency ◽  
Frequency Wave ◽  
Very Low Frequency
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