The Velocity of Propagation of Longitudinal Waves in Liquids at Audio-Frequencies

1930 ◽  
Vol 35 (7) ◽  
pp. 832-847 ◽  
Author(s):  
Louis Gordon Pooler
Keyword(s):  
Longitudinal Waves ◽  
Velocity Of Propagation

ANOMALOUS DISPERSION OF SOUND IN SOLID CYLINDRICAL RODS

1935 ◽  
Vol 13a (1) ◽  
pp. 10-15 ◽  
Author(s):  
R. Ruedy
Keyword(s):  
Mutual Coupling ◽  
Radial Component ◽  
Radial Motion ◽  
Coupled Systems ◽  
Radial Vibration ◽  
Longitudinal Waves ◽  
Velocity Equation ◽  
Hollow Cylinders ◽  
Velocity Of Propagation ◽  
Set Up

The deviation of the overtones from whole multiples of the fundamental note when pure longitudinal waves are set up in a cylindrical rod, one to a few centimetres in thickness, is accounted for to within less than 1% by the drop in the velocity of propagation of longitudinal waves with increasing frequency due to radial motion in the rod. The radial component present in vibrating solid or hollow cylinders determines a second solution of the velocity equation which starts near the resonance frequency of the radial vibration. Although radial motion can take place free from longitudinal components, so that no mutual coupling need exist between the two types of vibration, the equation for thin rods can within certain frequency ranges be reduced to the frequency relations valid for coupled systems.

Calculation of Wave Velocities in Segmented Pipelines with Flexible Joints

2020 ◽  
pp. 3-17
Author(s):  
M. Sh. Israilov ◽  
L. N. Smirnova
Keyword(s):  
Periodicity Cell ◽  
Flexible Joints ◽  
Accurate Analysis ◽  
Longitudinal Waves ◽  
One Dimensional ◽  
Average Value ◽  
Wave Velocities ◽  
Long Wave ◽  
Order Of Magnitude ◽  
Velocity Of Propagation

Engineering methods for finding the average (averaged) velocity of propagation of longitudinal waves in pipelines with flexible joints are presented. By accurate analysis of the problem of oscillations of a one dimensional periodically inhomogeneous structure it is shown that the results of engineering approaches for rod velocity are the first or long-wave asymptotic approximation which valid when the period of external influence (the length of the seismic wave) significantly exceeds the size of the periodicity cell of the pipeline (the length of the pipe with a joint). Thus, it is established that when this condition is met, the problem of pipeline dynamics with joints is reduced to a much simpler problem of vibrations of a homogeneous pipeline, the velocity of wave propagation in which is equal to the found average value. Numerical examples are given that demonstrate a significant (sometimes by an order of magnitude) decreasing of the rod velocity in the presence of flexible joints.

scholarly journals A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams

2021 ◽  
pp. 108128652110108
Author(s):  
Emilio Turco ◽  
Emilio Barchiesi ◽  
Francesco dell’Isola
Keyword(s):  
Numerical Simulations ◽  
Mechanical Response ◽  
Integration Scheme ◽  
Present Contribution ◽  
Longitudinal Waves ◽  
Deformation Regime ◽  
Impulsive Loads ◽  
Unit Cells ◽  
Statics And Dynamics ◽  
Equations Of Motions

This contribution presents the results of a campaign of numerical simulations aimed at better understanding the propagation of longitudinal waves in pantographic beams within the large-deformation regime. Initially, we recall the key features of a Lagrangian discrete spring model, which was introduced in previous works and that was tested extensively as capable of accurately forecasting the mechanical response of structures based on the pantographic motif, both in statics and dynamics. Successively, a stepwise integration scheme used to solve equations of motions is briefly discussed. The key content of the present contribution concerns the thorough presentation of some selected numerical simulations, which focus in particular on the propagation of stretch profiles induced by impulsive loads. The study takes into account different tests, by varying the number of unit cells, i.e., the total length of the system, spring stiffnesses, the shape of the impulse, as well as its properties such as duration and peak amplitude, and boundary conditions. Some conjectures about the form of traveling waves are formulated, to be confirmed by both further numerical simulations and analytical investigations.

Coupled flexural-longitudinal waves in an origami metamaterial with uncoupled creases

2021 ◽  
Vol 396 ◽  
pp. 127232
Author(s):  
Zhu-Long Xu ◽  
Shao-Feng Xu ◽  
Kuo-Chih Chuang
Keyword(s):  
Longitudinal Waves

Transverse surface waves in magneto-elasticity

1966 ◽  
Vol 62 (3) ◽  
pp. 541-545 ◽  
Author(s):  
C. M. Purushothama
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Surface Waves ◽  
Elastic Medium ◽  
Uniform Magnetic Field ◽  
Shear Waves ◽  
Plane Shear ◽  
Electrically Conducting ◽  
Velocity Of Propagation

AbstractIt has been shown that uncoupled surface waves of SH type can be propagated without any dispersion in an electrically conducting semi-infinite elastic medium provided a uniform magnetic field acts non-aligned to the direction of wave propagation. In general, the velocity of propagation will be slightly greater than that of plane shear waves in the medium.

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