Unstable Sloshing Vibration in a Thin Cylindrical Weir

1997 ◽  
Vol 119 (1) ◽  
pp. 68-73 ◽  
Author(s):  
M. Chiba ◽  
H. Kiuchi ◽  
J. Tani
Keyword(s):  
Traveling Wave ◽  
Coupled System ◽  
Stationary Wave ◽  
Baffle Plate ◽  
Annular Gap ◽  
Unstable Vibration

Traveling unstable sloshing modes have been observed in experiments on the fluidstructure coupled system in a thin cylindrical weir. The unstable vibration was found to be classified into three types: i.e., traveling wave which travels along one circumference direction; traveling wave which travels in the clockwise and counterclockwise directions alternately; and stationary wave. Influences of the outer and the inner annular gap widths, the height of weir, the elastic rigidity of weir, and baffle plate on the characteristics of the unstable sloshing vibration were clarified.

scholarly journals Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study

2021 ◽  
Vol 10 (1) ◽  
pp. 272-281
Author(s):  
Hülya Durur ◽  
Asıf Yokuş ◽  
Kashif Ali Abro
Keyword(s):  
Traveling Wave ◽  
Evolution Equations ◽  
Three Dimensional ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Stationary Wave ◽  
Travelling Wave ◽  
Nonlinear Evolution Equations ◽  
Travelling Wave Solutions ◽  
Wave Solutions

Abstract Computational and travelling wave solutions provide significant improvements in accuracy and characterize novelty of imposed techniques. In this context, computational and travelling wave solutions have been traced out for Tzitzéica and Dodd-Bullough-Mikhailov equations by means of (1/G′)-expansion method. The different types of solutions have constructed for Tzitzéica and Dodd-Bullough-Mikhailov equations in hyperbolic form. Moreover, solution function of Tzitzéica and Dodd-Bullough-Mikhailov equations has been derived in the format of logarithmic nature. Since both equations contain exponential terms so the solutions produced are expected to be in logarithmic form. Traveling wave solutions are presented in different formats from the solutions introduced in the literature. The reliability, effectiveness and applicability of the (1/G′)-expansion method produced hyperbolic type solutions. For the sake of physical significance, contour graphs, two dimensional and three dimensional graphs have been depicted for stationary wave. Such graphical illustration has been contrasted for stationary wave verses traveling wave solutions. Our graphical comparative analysis suggests that imposed method is reliable and powerful method for obtaining exact solutions of nonlinear evolution equations.

Surface wave behavior and refraction simulation on the ocean for the fractional Ostrovsky–Benjamin–Bona–Mahony equation

2021 ◽  
pp. 2150477
Author(s):  
Serbay Duran ◽  
Asif Yokuş ◽  
Hülya Durur
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Stationary Wave ◽  
Traveling Wave Solution ◽  
Incoming Wave ◽  
Topological Soliton ◽  
Advantages And Disadvantages ◽  
Wave Event ◽  
Ostrovsky Equation ◽  
General Graphs

In this study, we have taken into account the time-fractional Ostrovsky–Benjamin–Bona–Mahony equation, which is a synthesis of the time-fractional Ostrovsky equation and time-fractional Benjamin–Bona–Mahony equations and contains both mathematical and physical properties. Traveling wave solutions are produced by using the Ostrovsky–Benjamin–Bona–Mahony equation that physically sheds light on the incoming wave event on the ocean surface, using the sub-equation and Bernoulli sub-equation function methods. These solutions are presented in hyperbolic, trigonometric, singular and dark (topological) soliton types. With the help of special values given to the coefficients in the solitons obtained, it is associated with the solutions in the literature and it is observed that the solitons produced in this study are more general. Graphs representing the stationary wave at any given moment are presented. The advantages and disadvantages as well as the similarities and differences of the method are discussed in detail. Also, the behavior of the wave and its refraction according to the velocity variable, which is a physically important factor of the traveling wave solution, is analyzed and supported by simulation.

Wave Reflection and Focusing prior to the Major Stratospheric Warming of September 2002*

2005 ◽  
Vol 62 (3) ◽  
pp. 640-650 ◽  
Author(s):  
Nili Harnik ◽  
Richard K. Scott ◽  
Judith Perlwitz
Keyword(s):  
Traveling Wave ◽  
Wave Reflection ◽  
Early Stage ◽  
Stationary Wave ◽  
Wave Activity ◽  
Mean Flow ◽  
Low Latitude ◽  
Stage Of Development ◽  
Wave Flux ◽  
Large Burst

Abstract Observations of the Southern Hemispheric winter conditions indicate that the major warming of September 2002 resulted from a combination of stationary wave-1 and traveling wave-2 forcing events and suggest that wave and mean-flow anomalies present earlier that winter may have also played a role. Quantities such as the location of the zero wind line, the strength and wave geometry of the vortex, and the horizontal and vertical wave fluxes all differed significantly from climatological values throughout much of the 2002 winter. An analysis of the anomalous features suggests the hypothesis that the persistence of a traveling wave 2 may have increased the likelihood of the combination with stationary wave 1, leading to the observed unprecedented increase in upward Eliassen–Palm flux preceding the warming. The anomalous conditions of the 2002 winter began as early as mid-May of that year and consisted of a large burst of wave flux into the stratosphere and a strong deceleration of the vortex during its early stage of development. The low-latitude easterly anomaly that resulted from this (unprecedented) event appears to have enhanced the poleward focusing of wave activity in the mid- and upper stratosphere during the rest of the winter. The altered wave geometry of the 2002 vortex allowed internal reflection of traveling wave 2, which helps to explain its unusual persistence during the rest of the winter.

scholarly journals Quasi-Periodic Variations of the Polar Vortex in the Southern Hemisphere Stratosphere Due to Wave–Wave Interaction

2004 ◽  
Vol 61 (21) ◽  
pp. 2510-2527 ◽  
Author(s):  
Yasuko Hio ◽  
Shigeo Yoden
Keyword(s):  
Southern Hemisphere ◽  
Traveling Wave ◽  
Polar Vortex ◽  
Wave Interaction ◽  
Stationary Wave ◽  
Late Winter ◽  
Transient Wave ◽  
Reanalysis Dataset ◽  
Zonal Wavenumber ◽  
Comparable Amplitude

Abstract The winter polar vortex in the Southern Hemisphere stratosphere is characterized by prominent quasi-stationary planetary waves: zonal wavenumber 1 (wave 1) and the eastward-traveling wave (wave 2). Quasi-periodic variations of the polar vortex are investigated in terms of the wave–wave interaction between wave 1 and wave 2 with both the NCEP–NCAR reanalysis dataset from 1979 to 2002 and a spherical barotropic model. A typical case shows that the transient wave 1 generated by the wave–wave interaction has comparable amplitude to those of the stationary wave 1 and the traveling wave 2, and has a node around 60°S, where these primary waves have large amplitude. The transient wave 1 travels eastward with the same angular frequency as that of the traveling wave 2. The polar night jet also vacillates with the same frequency such that it has its minimum when the stationary wave 1 and the transient wave 1 are in phase at the polar side of the node. The vacillation is basically due to quasi-periodic variations of the wave driven by the interference between the stationary and traveling wave 1s. Similar periodic variations of the polar vortex are obtained in the model experiment here, in the circumstance that stationary wave 1 generated by surface topography has comparable amplitude to the eastward-traveling wave 2 that is generated by the barotropic instability of a forced mean zonal wind. The winter polar vortex shows large interannual variability. Similar quasi-periodic variations due to wave– wave interaction often occurred for the 24 yr in late winter when the transient wave 2 was vigorous.

Impact of Nonlocal Interaction on Chimera States in Nonlocally Coupled Stuart–Landau Oscillators

2021 ◽  
Vol 30 (4) ◽  
pp. 513-524
Author(s):  
K. Premalatha ◽  
◽  
R. Amuda ◽  
V. K. Chandrasekar ◽  
M. Senthilvelan ◽  
...  
Keyword(s):  
Traveling Wave ◽  
Coupled System ◽  
Nonlocal Interaction ◽  
Coupling Term ◽  
Nonlocal Coupling ◽  
Wave State ◽  
Chimera States ◽  
Chimera State ◽  
Death State ◽  
The Given

We investigate the existence of collective dynamical states in nonlocally coupled Stuart–Landau oscillators with symmetry breaking included in the coupling term. We find that the radius of nonlocal interaction and nonisochronicity parameter play important roles in identifying the swing of synchronized states through amplitude chimera states. Collective dynamical states are distinguished with the help of strength of incoherence. Different transition routes to multi-chimera death states are analyzed with respect to the nonlocal coupling radius. In addition, we investigate the existence of collective dynamical states including traveling wave state, amplitude chimera state and multi-chimera death state by introducing higher-order nonlinear terms in the system. We also verify the robustness of the given notable properties for the coupled system.

Traveling Wave Phenomenon Through Piezoelectric Actuation of a Free-Free Cylindrical Tube

2015 ◽  
Author(s):  
Austin Phoenix ◽  
V. V. N. Sriram Malladi ◽  
Pablo A. Tarazaga
Keyword(s):  
Traveling Waves ◽  
Traveling Wave ◽  
Low Cost ◽  
Three Dimensional ◽  
Cylindrical Tube ◽  
Coupled System ◽  
Wide Frequency Range ◽  
Propagation Behavior ◽  
Low Weight ◽  
Wave Modes

Previous work has demonstrated that piezoceramics are capable of generating net wave propagation without reflections in one-dimensional structures. The investigation into cylindrical traveling waves provides insight into unique dynamics (i.e., symmetric and non-symmetric modes) that have yet to be fully defined for two and three dimensional systems. The work herein will focus on the generation and characterization of traveling waves that propagate along the circumferential direction. The coupled system, given by a free-free cylinder with multiple piezoelectric actuator (PZT) patches, is used to evaluate several traveling wave modes in the cylinder. The use of structurally integrated piezoelectric patches as actuators has many advantages over the conventional shakers. Apart from the small, low weight, low cost and the size of these ceramic plates, PZTs can also generate waves over a wide frequency range. The use of multiple PZTs can be leveraged to excite the systems at a given frequency with a defined phase difference between them in order to generate highly controlled directional traveling waves in the cylindrical structure without reflections. Finite Element Modeling (FEM), in conjunction with experiments, were conducted to provide a comprehensive understanding of the generation and propagation behavior of the traveling wave modes in a thin walled cylinder.

scholarly journals The c-axis charge traveling wave in a coupled system of Josephson junctions

JETP Letters ◽  
2012 ◽  
Vol 95 (6) ◽  
pp. 307-313 ◽  
Author(s):  
Yu. M. Shukrinov ◽  
M. Hamdipour
Keyword(s):  
Traveling Wave ◽  
Josephson Junctions ◽  
Coupled System

Generation and Optimization of Traveling Vibrating Waves in Self-Assembling Swimming Smart Boxes

2015 ◽  
Author(s):  
Muath Bani-Hani ◽  
Iman Borazjani ◽  
Ehsan T. Esfahani ◽  
Venkat Krovi ◽  
M. Amin Karami
Keyword(s):  
Traveling Wave ◽  
Coupled System ◽  
Longitudinal Direction ◽  
The Body ◽  
Distributed Parameter ◽  
Wave Form ◽  
Final Destination ◽  
Self Assembling ◽  
Distributed Parameter Model ◽  
Scalar Measure

This paper presents vibration analysis and structural optimization of a self-assembled structure for swimming. The third mode shape of the structure in the longitudinal direction resembles the body waveform of a swimming eel fish. At the final destination, the box self-assembles using shape memory alloys. MFCs (Piezoelectric Micro Fiber Composites) are actuated at the fundamental natural frequency of the structure. This excites the primary mode of resonance. We optimize the thickness of the panels and the stiffness of the joints to most efficiently generate the swimming waveforms that resembles the body waveform of eel. Traveling wave is generated using two piezoelectric batches actuators bonded on the first and fourth segments of the beams in the longitudinal direction. Excitation of the piezoelectrics results in coupled system dynamics equations that can be translated into generation of waves. Theoretical analysis based on the distributed parameter model was conducted in this paper. A scalar measure of the traveling to standing wave ratio was created using 2-dimensional Fourier Transform of the wave form. The results then were compared to common method in the literature for assessment of standing to traveling wave ratio.

scholarly journals The traveling wave approximation method for solving solitary wave in Schrödinger disturbed coupled system

2014 ◽  
Vol 63 (9) ◽  
pp. 090204
Author(s):  
Xu Yong-Hong ◽  
Han Xiang-Lin ◽  
Shi Lan-Fang ◽  
Mo Jia-Qi
Keyword(s):  
Solitary Wave ◽  
Approximation Method ◽  
Traveling Wave ◽  
Coupled System ◽  
Wave Approximation
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