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Journal articles on the topic 'Instabilité transversale'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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1

KATAOKA, TAKESHI. "Transverse instability of interfacial solitary waves." Journal of Fluid Mechanics 611 (September 25, 2008): 255–82. http://dx.doi.org/10.1017/s0022112008002802.

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The linear stability of finite-amplitude interfacial solitary waves in a two-layer fluid of finite depth is examined analytically on the basis of the Euler equations. An asymptotic analysis is performed, which provides an explicit criterion of instability in the case of long-wavelength transverse disturbances. This result leads to the general statement that, when the amplitude of the solitary wave is increased, the solution becomes transversely unstable before an exchange of longitudinal stability occurs.

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2

KATAOKA, TAKESHI. "Transverse instability of surface solitary waves. Part 2. Numerical linear stability analysis." Journal of Fluid Mechanics 657 (June 17, 2010): 126–70. http://dx.doi.org/10.1017/s0022112010001412.

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In a previous work, Kataoka & Tsutahara (J. Fluid Mech., vol. 512, 2004a, p. 211) proved the existence of longitudinally stable but transversely unstable surface solitary waves by asymptotic analysis for disturbances of small transverse wavenumber. In the present paper, the same transverse instability is examined numerically for the whole range of solitary-wave amplitudes and transverse wavenumbers of disturbances. Numerical results show that eigenvalues and eigenfunctions of growing disturbance modes agree well with those obtained by the asymptotic analysis if the transverse wavenumber of the disturbance is small. As the transverse wavenumber increases, however, the growth rate of the disturbance, which is an increasing function for small wavenumbers, reaches a maximum and finally falls to zero at some finite wavenumber. Thus, there is a high-wavenumber cutoff to the transverse instability. For higher amplitude, solitary waves become longitudinally unstable, and the dependence of the eigenvalues on the transverse wavenumber exhibits various complicated patterns. We found that such eigenvalues versus transverse wavenumber can be simply grouped into three basic classes.

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3

Jauregui, Cesar, Christoph Stihler, and Jens Limpert. "Transverse mode instability." Advances in Optics and Photonics 12, no. 2 (2020): 429. http://dx.doi.org/10.1364/aop.385184.

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4

Yeh, Meng Kao, and Kuei Chang Tung. "Dynamic Instability of Delaminated Composite Plates under Parametric Excitation." Key Engineering Materials 326-328 (December 2006): 1765–68. http://dx.doi.org/10.4028/www.scientific.net/kem.326-328.1765.

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The dynamic instability behavior of delaminated composite plates under transverse excitations was investigated experimentally and analytically. An electromagnetic device, acting like a spring with alternating stiffness, was used to parametrically excite the delaminated composite plates transversely. An analytical method, combined with the finite element method, was used to determine the instability regions of the delaminated composite plates based on the modal parameters of the composite plate and the position, the stiffness of the electromagnetic device. The delamination size and position of composite plates were varied to assess their effects on the excitation frequencies of simple and combination resonances in instability regions. The experimental results were found to agree with the analytical ones.

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5

Yizhaq, H., I. Katra, J. F. Kok, and O. Isenberg. "Transverse instability of megaripples." Geology 40, no. 5 (2012): 459–62. http://dx.doi.org/10.1130/g32995.1.

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6

Pelinovsky, Dmitry. "Normal form for transverse instability of the line soliton with a nearly critical speed of propagation." Mathematical Modelling of Natural Phenomena 13, no. 2 (2018): 23. http://dx.doi.org/10.1051/mmnp/2018024.

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In the context of the line solitons in the Zakharov–Kuznetsov (ZK) equation, there exists a critical speed of propagation such that small transversely periodic perturbations are unstable if the soliton speed is larger than the critical speed and orbitally stable if the soliton speed is smaller than the critical speed. The normal form for transverse instability of the line soliton with a nearly critical speed of propagation is derived by means of symplectic projections and near-identity transformations. Justification of this normal form is provided with the energy method. The normal form predicts a transformation of the unstable line solitons with larger-than-critical speeds to the orbitally stable transversely modulated solitary waves.

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7

Han, Wenhu, Cheng Wang, and Chung K. Law. "Role of transversal concentration gradient in detonation propagation." Journal of Fluid Mechanics 865 (February 22, 2019): 602–49. http://dx.doi.org/10.1017/jfm.2019.37.

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The role of a transversal concentration gradient in detonation propagation in a two-dimensional channel filled with an $\text{H}_{2}{-}\text{O}_{2}$ mixture is examined by high-resolution simulation. Results show that, compared to propagation in homogeneous media, a concentration gradient reduces the average detonation velocity because of the delay in reaching downstream reaction equilibrium, leading to a large amount of unreacted $\text{H}_{2}$ and hence significant species fluctuations. The transversal concentration gradient also enhances the cellular detonation instability. Steepening it reduces considerably the number of triple points on the front, lengthens the global detonation front structure on average and consequently increases the deficit of the average detonation velocity. It is further found that the interaction of the leading shock with the transversal concentration gradient influences the formation of local $\text{H}_{2}$ bump and thus the unreacted pocket behind the front, while the transverse wave causes mixing and burning of the residue fuel downstream. Nevertheless, for the steepened concentration gradient, a transverse detonation is present and consumes the fuel in the compressed and preheated zone by the leading shock; consequently, the detonation velocity deficit is not increased significantly for detonation with the single-head propagation mode close to the limit.

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8

Krizhevsky, G., and Y. Stavsky. "Refined Dynamic Stability Theory of Laminated Isotropic Circular Plates." Journal of Applied Mechanics 65, no. 2 (1998): 334–40. http://dx.doi.org/10.1115/1.2789059.

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Hamilton’s variational principle is used for the derivation of transversally isotropic laminated circular plates motion. Nonlinear strain-displacements relations are considered. Linearized dynamic stability equations are obtained for circular plates subjected to the same uniformly distributed periodic radial loads. The effects of transverse shear and rotational inertia are included. The exact solutions of vibrations and buckling problems are given initially in the terms of Bessel, power, and trigonometric functions. The vibrational modal functions are used then as a basis in the Galerkin method that reduced the study of dynamic stability to investigation of bounds of instability of Mathieu’s equations. Analytic expressions for the bounds of both principal and combination-type instability regions are obtained using the methods of Bolotin and Tamir. A new effect—sensitivity of certain instability regions to slight imperfections in the symmetry of lamination—is found out and discussed here.

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9

Shen, I. Y., and Y. Song. "Stability and Vibration of a Rotating Circular Plate Subjected to Stationary In-Plane Edge Loads." Journal of Applied Mechanics 63, no. 1 (1996): 121–27. http://dx.doi.org/10.1115/1.2787186.

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This paper predicts transverse vibration and stability of a rotating circular plate subjected to stationary, in-plane, concentrated edge loads. First of all, the equation of motion is discretized in a plate-based coordinate system resulting in a set of coupled Hill’s equations. Through use of the method of multiple scales, stability of the rotating plate is predicted in closed form in terms of the rotational speed and the in-plane edge loads. The asymmetric membrane stresses resulting from the stationary in-plane edge loads will transversely excite the rotating plates to single-mode parametric resonances as well as combination resonances at supercritical speed. In addition, introduction of plate damping will suppress the parametric instability when normalized edge loads are small. Moreover, the radial in-plane edge load dominates the rotational speed at which the instability occurs, and the tangential in-plane edge load dominates the width of the instability zones.

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10

Osipov, V. V., and A. V. Severtsev. "Transverse instability of spike autosolitons." Physics Letters A 227, no. 1-2 (1997): 61–66. http://dx.doi.org/10.1016/s0375-9601(97)00013-3.

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11

Bambill, D. V., and C. A. Rossit. "Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading." Journal of Engineering 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/937596.

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As it is known, the problems of free transverse vibrations and instability under in-plane loads of a plate are two different technological situations that have similarities in their approach to elastic solution. In fact, they are two eigenvalue problems in which we analyze the equilibrium situation of the plate in configurations which differ very slightly from the original, undeformed configuration. They are coupled in the event where in-plane forces are applied to the edges of the transversely vibrating plate. The presence of forces can have a significant effect on structural and mechanical performance and should be taken into account in the formulation of the dynamic problem. In this study, distributed forces of linear variation are considered and their influence on the natural frequencies and corresponding normal modes of transverse vibration is analyzed. It also analyzes their impact for the case of vibration control. The forces' magnitude is varied and the first natural frequencies of transverse vibration of rectangular thin plates with different combinations of edge conditions are obtained. The critical values of the forces which cause instability are also obtained. Due to the analytical complexity of the problem under study, the Ritz method is employed. Some numerical examples are presented.

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12

Dalcin, Rafael Luciano, Ivan Guerra Machado, Arnaldo Ruben Gonzalez, and Cintia Cristiane Petry Mazzaferro. "Bending Strength of Welded Joints in TMCP Steel Square Tubular Profiles “T” Connexions." International Journal of Engineering & Technology 5, no. 3 (2016): 70. http://dx.doi.org/10.14419/ijet.v5i3.6195.

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The use of DOMEX 700 MCTM steel weldments is still little explored, due to some concern of the validity of the rules imposed by several standards and Codes for this class of steel. This material has low ductility and consequently the relation between tensile strength and yield strength is significantly lower than ordinary structural steels. For this reason, the instability phenomena are more critical than the instability phenomena of ordinary structural steels. Therefore, the aim of this study was to obtain detailed data on the mechanical efficiency of joints welded by GMAW. Six different heat inputs were used on square tubular profiles of TMCP steel. The tubular profiles were placed as a column/beam weldment with transverse and longitudinal welds positioned in relation to the loading axis. Twelve welded structures were instrumented with extensometer and tested in simple bending. Comparing the obtained data, it was verified that longitudinal welded joints presented higher bending strength than transversal welded joints. In the case of longitudinal joints, two weld beads were subjected to bending efforts, and in the case of transverse joints, only one weld bead resisted bending forces.

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13

Ashwin, Peter, Eurico Covas, and Reza Tavakol. "Transverse instability for non-normal parameters." Nonlinearity 12, no. 3 (1999): 563–77. http://dx.doi.org/10.1088/0951-7715/12/3/009.

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14

Muschietti, L., I. Roth, C. W. Carlson, and R. E. Ergun. "Transverse Instability of Magnetized Electron Holes." Physical Review Letters 85, no. 1 (2000): 94–97. http://dx.doi.org/10.1103/physrevlett.85.94.

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15

Luther, G. G., and C. J. McKinstrie. "Transverse modulational instability of collinear waves." Journal of the Optical Society of America B 7, no. 6 (1990): 1125. http://dx.doi.org/10.1364/josab.7.001125.

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16

Fung Huang, Rong, and Kuo Tong Chang. "Evolution and Turbulence Properties of Self-Sustained Transversely Oscillating Flow Induced by Fluidic Oscillator." Journal of Fluids Engineering 129, no. 8 (2007): 1038–47. http://dx.doi.org/10.1115/1.2746905.

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The evolution process and turbulence properties of a transversely oscillating flow induced by a fluidic oscillator are studied in a gravity-driven water tunnel. A planar jet is guided to impinge a specially designed crescent surface of a target blockage that is enclosed in a cavity of a fluidic oscillator. The geometric configuration of the cavity transforms the inherent stability characteristics of the jet from convective instability to absolute instability, so that the jet precedes the persistent back and forth swinging in the cavity. The swinging jet is subsequently directed through two passages and issued alternatively out of the fluidic oscillator. Two short plates are installed near the exits of the alternatively issuing pulsatile jets to deflect the jets toward the central axis. The deflected jets impinge with each other and form a pair of counter-rotating vortices in the near wake of the oscillator with a stagnation point at the impingement point. The stagnation point of the counter-rotating vortex pair moves back and forth transversely because of the phase difference existing between the two issued jets. The merged flow evolving from the counter-rotating vortices formed by the impingement of the two pulsatile jets therefore presents complex behavior of transverse oscillation. The topological models corresponding to the flow evolution are constructed to illustrate the oscillation process of the oscillating flow. Significant momentum dispersion and large turbulence intensity are induced by the transverse oscillation of the merged flow. The statistical turbulence properties show that the Lagrangian integral time and length scales of the turbulence eddies (the fine-scale structure) produced in the oscillating flow are drastically reduced.

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17

REINHARDT, WILLIAM P., MARY ANN LEUNG, and LINCOLN D. CARR. "SEPARABILITY AND STABILITY OF SOLUTIONS OF THE 1-DIMENSIONAL NLSE WITH RESPECT TO EXTENSION INTO 2 AND 3 DIMENSIONS, AND TO INITIAL PERTURBATION BY WHITE NOISE." International Journal of Modern Physics B 15, no. 10n11 (2001): 1668–71. http://dx.doi.org/10.1142/s0217979201006185.

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Stationary states of the nonlinear Schrödinger equation (NLSE) found analytically in previous work are extended into 2 and 3 dimensions by the simplest possible ansatz: namely, it is assumed that the direct product of one dimensional solutions for each dimension will yield a stationary state. The solutions considered mimic the dynamics of a repulsive Bose-Einstein condensate (BEC) in a trap of high aspect ratio. This assumption of separability, as established by direct numerical integration of the NLSE via variable step 4th order Runge-Kutta using a pseudo spectral basis, is found to work well for both ground and excited states for box transverse confinement, and for either box or periodic boundary conditions along the longest trap axis. Addition of white noise at t = 0, followed by similar numerical propagation in either 2 or 3 dimensions, is found to lead to instability once the transverse confining dimension are greater than approximately 6 healing lengths. Such instabilites eventually manifest themselves as vortices fathered by the well known snake instability of the NLSE solitons in dimensionalities higher than 1. The dynamics of interacting solitons may become chaotic as the solitons themselves become unstable in the presence of noise.

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18

Lin, Yuan-Yao, Ray-Kuang Lee, and Yuri S. Kivshar. "Transverse instability of transverse-magnetic solitons and nonlinear surface plasmons." Optics Letters 34, no. 19 (2009): 2982. http://dx.doi.org/10.1364/ol.34.002982.

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19

Kowalczyk, Michal, Benoît Perthame, and Nicolas Vauchelet. "Transversal instability for the thermodiffusive reaction-diffusion system." Chinese Annals of Mathematics, Series B 36, no. 5 (2015): 871–82. http://dx.doi.org/10.1007/s11401-015-0981-x.

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20

BRIDGES, T. J. "Transverse instability of solitary-wave states of the water-wave problem." Journal of Fluid Mechanics 439 (July 23, 2001): 255–78. http://dx.doi.org/10.1017/s0022112001004530.

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Transverse stability and instability of solitary waves correspond to a class of perturbations that are travelling in a direction transverse to the direction of the basic solitary wave. In this paper we consider the problem of transverse instability of solitary waves for the water-wave problem, from both the model equation point of view and the full water-wave equations. A new universal geometric condition for transverse instability forms the backbone of the analysis. The theory is first illustrated by application to model PDEs for water waves such as the KP equation, and then it is applied to the full water-wave problem. This is the first theory proposed for transverse instability of solitary waves of the full water-wave problem. The theory suggests the introduction of a new functional for water waves, whose importance is suggested by the mathematical structure. Without explicit calculation, the theory is used to argue that the basic class of solitary waves of the water-wave problem, which bifurcate at Froude number unity, are likely to be stable to transverse perturbations, even at large amplitude.

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21

Khuyagbaatar, Batbayar, Sang-Jin Lee, Ulziikhutag Bayarjargal, Maro Cheon, Temuujin Batbayar, and Yoon Hyuk Kim. "Contribution of a distal radioulnar joint stabilizer on forearm stability: A modeling study." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 235, no. 7 (2021): 819–26. http://dx.doi.org/10.1177/09544119211011334.

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Instability of the forearm is a complex problem that leads to pain and limited motions. Up to this time, no universal consensus has yet been reached as regards the optimal treatment for forearm instability. In some cases, conservative treatments are recommended for forearm instability injuries. However, quantitative studies on the conservative treatment of forearm instability are lacking. The present study developed a finite element model of the forearm to investigate the contribution of the distal radioulnar joint stabilizer on forearm stability. The stabilizer was designed to provide stability between the radius and ulna. The forearm model with and without the stabilizer was tested using the pure transverse separation and radial pull test for the different ligament sectioned models. The percentage contribution of the stabilizer and ligament structures resisting the load on the forearm was estimated. For the transverse stability of the forearm, the central band resisted approximately 50% of the total transverse load. In the longitudinal instability, the interosseous membrane resisted approximately 70% of the axial load. With the stabilizer, models showed that the stabilizer provided the transverse stability and resisted almost 1/4 of the total transverse load in the ligament sectioned models. The stabilizer provided transverse stability and reduced the loading on the ligaments. We suggested that a stabilizer can be applied in the conservative management of patients who do not have the gross longitudinal instability with the interosseous membrane and the triangular fibrocartilage complex disruption.

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22

Pomeroy, Brian, and William Anderson. "Transverse Instability Studies in a Subscale Chamber." Journal of Propulsion and Power 32, no. 4 (2016): 939–47. http://dx.doi.org/10.2514/1.b35763.

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23

Gao, J., and Y. P. Sun. "Transverse single bunch instability study on BEPC." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 574, no. 1 (2007): 3–6. http://dx.doi.org/10.1016/j.nima.2007.01.016.

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24

Luther, G. G., and C. J. McKinstrie. "Transverse modulational instability of counterpropagating light waves." Journal of the Optical Society of America B 9, no. 7 (1992): 1047. http://dx.doi.org/10.1364/josab.9.001047.

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25

Paddick, Matthew. "Transverse nonlinear instability of Euler–Korteweg solitons." Annales de la faculté des sciences de Toulouse Mathématiques 26, no. 1 (2017): 23–48. http://dx.doi.org/10.5802/afst.1525.

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26

Iqbal, Z., Pavel A. Andreev, and G. Murtaza. "A transverse separate-spin-evolution streaming instability." Physics of Plasmas 25, no. 5 (2018): 052110. http://dx.doi.org/10.1063/1.5024614.

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27

Bret, A., L. Gremillet, and J. C. Bellido. "How really transverse is the filamentation instability?" Physics of Plasmas 14, no. 3 (2007): 032103. http://dx.doi.org/10.1063/1.2710810.

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28

Jisha, Chandroth P., T. Mithun, Augusto Rodrigues, and K. Porsezian. "Transverse instability of solitons in nonlinear systems." Journal of the Optical Society of America B 32, no. 6 (2015): 1106. http://dx.doi.org/10.1364/josab.32.001106.

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29

Kim, Boguk, and T. R. Akylas. "Transverse instability of gravity–capillary solitary waves." Journal of Engineering Mathematics 58, no. 1-4 (2007): 167–75. http://dx.doi.org/10.1007/s10665-006-9122-6.

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30

Kumar, Gautam, Puranam Anantha Lakshmi Narayana, and Kirti Chandra Sahu. "Linear and nonlinear thermosolutal instabilities in an inclined porous layer." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2233 (2020): 20190705. http://dx.doi.org/10.1098/rspa.2019.0705.

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We investigate the double-diffusive instability in an inclined porous layer with a concentration-based internal heat source by conducting linear instability and nonlinear energy analyses. The effects of different dimensionless parameters, such as the thermal ( Ra T ) and solutal ( Ra S ) Rayleigh numbers, the angle of inclination ( ϕ ), the Lewis number ( Le ) and the concentration-based internal heat source ( Q ) are examined. A comparison between the linear and nonlinear thresholds for the longitudinal and transverse rolls provides the region of subcritical instability. We found that the system becomes more unstable when the thermal diffusivity is greater than the solute and the internal heat source strength increases. It is observed that the system is stabilized by increasing the angle of inclination. While the longitudinal roll remains stationary without the region of subcritical instability, as the angle of inclination increases, the transverse roll switches from stationary-oscillatory-stationary mode. Our numerical results show that for Ra S < 0, for all Q values, the subcritical instability only exists for transverse rolls. For Ra S ≥ 0, however, the subcritical instability appears only for Q = 0 and Q ≥ 0, respectively, for longitudinal and transverse rolls.

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31

Deconinck, Bernard, Dmitry E. Pelinovsky, and John D. Carter. "Transverse instabilities of deep-water solitary waves." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2071 (2006): 2039–61. http://dx.doi.org/10.1098/rspa.2006.1670.

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The dynamics of a one-dimensional slowly modulated, nearly monochromatic localized wave train in deep water is described by a one-dimensional soliton solution of a two-dimensional nonlinear Schrödinger (NLS) equation. In this paper, the instability of such a wave train with respect to transverse perturbations is examined numerically in the context of the NLS equation, using Hill's method. A variety of instabilities are obtained and discussed. Among these, we show that the solitary wave is susceptible to an oscillatory instability (complex growth rate) due to perturbations with arbitrarily short wavelength. Further, there is a cut-off on the instability with real growth rates. We show analytically that the nature of this cut-off is different from what is claimed in previous works.

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32

Akbari, N., and N. S. Mehdizadeh. "Thermo-Acoustic Instability Simulation in Gas Turbine." Journal of Mechanics 25, no. 4 (2009): 433–40. http://dx.doi.org/10.1017/s1727719100002914.

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ABSTRACTThe main aims of this research are, at first, combustion instability study based on equivalence ratio oscillation, and, secondly, investigation various frequency modes of combustion instability, taking combustion chamber geometry into account. Considering the configuration of the simulated combustion chamber, excitation probability of the longitudinal modes is higher than that of transversal modes. The reason of this fact is that the resonance frequency values of the longitudinal modes are less than those of transversal modes. So, the most important frequency mode, during combustion instability, is the first longitudinal mode. In this paper thermo-acoustic instability model is utilized for pre-mixed gas turbines combustion chamber, founded on equivalence ratio oscillation. For this purpose Lieuwen method is developed in order to attain the phase difference between pressure and heat release oscillations. Results concluded from combustion instability simulation for the first longitudinal mode, considering its importance, are compared with experimental data and good agreement is observed.

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33

Zhang, Yu, Houzhu Zhang, and Guanquan Zhang. "A stable TTI reverse time migration and its implementation." GEOPHYSICS 76, no. 3 (2011): WA3—WA11. http://dx.doi.org/10.1190/1.3554411.

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Modeling and reverse time migration based on the tilted transverse isotropic (TTI) acoustic wave equation suffers from instability in media of general inhomogeniety, especially in areas where the tilt abruptly changes. We develop a stable TTI acoustic wave equation implementation based on the original elastic anisotropic wave equation. We, specifically, derive a vertical transversely isotropic wave system of equations that is equivalent to their elastic counterpart and introduce the self-adjoint differential operators in rotated coordinates to stabilize the TTI acoustic wave equations. Compared to the conventional formulations, the new system of equations does not add numerical complexity; a stable solution can be found by either a pseudospectral method or a high-order explicit finite difference scheme. We demonstrate by examples that our method provides stable and high-quality TTI reverse time migration images.

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34

Elaiwi, Sahar Sahib, Boksun Kim, and Long-yuan Li. "Dynamic instability of castellated beams subjected to transverse periodic loading." Challenge Journal of Structural Mechanics 5, no. 1 (2019): 9. http://dx.doi.org/10.20528/cjsmec.2019.01.002.

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In this study, an analytical solution is developed for the investigation of free vibration, static buckling and dynamic instability of castellated beams subjected to transverse periodic loading. Bolotin’s method is used to perform the dynamic instability analysis. By assuming the instability modes, the mass, stiffness, and geometric stiffness matrices are derived using the kinetic energy, strain energy and potential of applied loads. Analytical equations for determining the free vibration frequency, critical buckling moment, and excitation frequency of castellated beams are derived. In addition, the influences of the flange width of the castellated beam and the static part of the applied load on the variation of dynamic instability zones are discussed.

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35

Dickman, Curtis A., Alexander Mamourian, Volker K. H. Sonntag, and Burton P. Drayer. "Magnetic resonance imaging of the transverse atlantal ligament for the evaluation of atlantoaxial instability." Journal of Neurosurgery 75, no. 2 (1991): 221–27. http://dx.doi.org/10.3171/jns.1991.75.2.0221.

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✓ Twenty normal human subjects and 14 patients with upper cervical spine pathology were studied with axial high-field magnetic resonance (MR) imaging to examine the transverse atlantal ligament. Gradient-echo MR imaging pulse sequences provided reliable visualization of the transverse ligament, which exhibited low signal intensity and extended behind the dens between the medial portions of the lateral masses of C-1. The MR imaging characteristics of the transverse ligament were verified in clinical studies and in postmortem specimens. The clinical MR examinations defined 27 normal ligaments, three ligament disruptions, and four stretched rheumatoid ligaments. Atlantoaxial instability associated with transverse ligament rupture or ligamentous laxity required internal fixation. In contrast, fractures of C-1 or C-2 or atlantoaxial rotatory dislocations associated with an intact transverse ligament healed without instability or nonunion. The transverse ligament is the primary stabilizing component of C-1. The treatment of atlantoaxial instability has previously been based on criteria drawn from computerized tomography or plain radiographic studies, which only indirectly assess the probability of rupture of the transverse ligament. It is concluded that MR imaging accurately depicts the anatomical integrity of the transverse ligament. After transverse ligament failure, the remaining ligaments of the craniovertebral junction are inadequate to maintain stability. The presence of ligament disruption should be considered as a criterion for early fusion.

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36

Karimpour, Shooka, and Vincent H. Chu. "Instability of unbounded transverse mixing layer in shallow waters." Canadian Journal of Civil Engineering 43, no. 6 (2016): 504–10. http://dx.doi.org/10.1139/cjce-2016-0018.

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This paper examines the role of waves in the development of the instability of an unbounded transverse mixing layer in shallow waters. In supercritical state waves become significant. The matching of the wave-like asymptotic solution in the far field to the solutions near the inflection and the returning surfaces poses a difficult mathematical problem. We therefore conducted numerical simulations to find solutions directly from the shallow water equations. The simulations found that the growing waves in the unstable current had a consistent structure throughout the linear stage of the instability’s development. The excitation, reflection, and transmission of waves produced a modulating instability that maintained a consistent structure as the amplitude of the instability increased over many orders of magnitude. This role of the waves on the supercritical instability, as delineated by our numerical simulations, is not solely describable by the classical analytical method.

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37

Scardino, Fabrizio Borges, and Ricardo Vieira Botelho. "Traumatic injury of the transverse atlantal ligament." JBNC - JORNAL BRASILEIRO DE NEUROCIRURGIA 20, no. 3 (2018): 351–55. http://dx.doi.org/10.22290/jbnc.v20i3.867.

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Introduction. In some cases C2 may suffer only rotational dislocation around its own axis (dens), causing no increase in the atlantodental interval (ADI), making it difficult to diagnose the instability in static radiographies. Objective. To report a case of atlanto-axial traumatic subluxation, without bony injury or displacement, in which the diagnosis cannot be achieved through conventional radiology and computed tomography, and discuss the types of transverse ligament injuries, its diagnosis, the instability and their treatment. Methods.A 61-year-old man, victim of head (occipital), complaining neck. Static radiographies and CT scan of cervical spine were performed, demonstrating no abnormalities. Flexion and extension cervical radiography revealed an increase of ADI in flexion, indicating instability and damage to the transverse atlantal ligament (TAL). The MRI of the cervical spine demonstrated the discontinuity of the TAL, configuring an injury to the structure of the ligament. The patient underwent to early surgery with C1-C2 fixation using the Goel-Harms’technique. Results. The diagnosis could be revealed only in dynamic radiographs or MRI study. The patient presented complete improvement of symptoms. Conclusions. The use of cervical dynamic radiography and / or magnetic resonance imaging allowed the diagnosis of instability and visualization of the TAL injury, avoiding the lack of diagnosis with its consequences. The MRI allows a direct view of the ligament injury, their classification and the prognostic evaluation of the injury, guiding the therapy, surgical or conservative.

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VARDAR, Enver, Güldidar BASMACI, Zehra ERKUL, Ahmet AYKAŞ, and Senem ERSAVAŞ. "Serrated Adenoma of Appendix Synchronous with Invasive Adenocarcinoma of Transverse Colon: Both are Microsatellite Instability-Negative: Case Report." Turkiye Klinikleri Journal of Gastroenterohepatology 22, no. 1 (2015): 15–19. http://dx.doi.org/10.5336/gastro.2015-43449.

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Popov, Pavel P., and William A. Sirignano. "Transverse Combustion Instability in a Rectangular Rocket Motor." Journal of Propulsion and Power 32, no. 3 (2016): 620–27. http://dx.doi.org/10.2514/1.b35868.

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Rousset, F., and N. Tzvetkov. "Transverse nonlinear instability for two-dimensional dispersive models." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 26, no. 2 (2009): 477–96. http://dx.doi.org/10.1016/j.anihpc.2007.09.006.

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Orszaghova, J., H. Wolgamot, S. Draper, R. Eatock Taylor, P. H. Taylor, and and A. Rafiee. "Transverse motion instability of a submerged moored buoy." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2221 (2019): 20180459. http://dx.doi.org/10.1098/rspa.2018.0459.

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Wave energy converters and other offshore structures may exhibit instability, in which one mode of motion is excited parametrically by motion in another. Here, theoretical results for the transverse motion instability (large sway oscillations perpendicular to the incident wave direction) of a submerged wave energy converter buoy are compared to an extensive experimental dataset. The device is axi-symmetric (resembling a truncated vertical cylinder) and is taut-moored via a single tether. The system is approximately a damped elastic pendulum. Assuming linear hydrodynamics, but retaining nonlinear tether geometry, governing equations are derived in six degrees of freedom. The natural frequencies in surge/sway (the pendulum frequency), heave (the springing motion frequency) and pitch/roll are derived from the linearized equations. When terms of second order in the buoy motions are retained, the sway equation can be written as a Mathieu equation. Careful analysis of 80 regular wave tests reveals a good agreement with the predictions of sub-harmonic (period-doubling) sway instability using the Mathieu equation stability diagram. As wave energy converters operate in real seas, a large number of irregular wave runs is also analysed. The measurements broadly agree with a criterion (derived elsewhere) for determining the presence of the instability in irregular waves, which depends on the level of damping and the amount of parametric excitation at twice the natural frequency.

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Hadžievski, Lj R., and M. M. Škorić. "On transverse instability of large‐amplitude Langmuir solitons." Physics of Fluids B: Plasma Physics 3, no. 9 (1991): 2452–54. http://dx.doi.org/10.1063/1.859982.

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Wheatley, V., R. Samtaney, D. I. Pullin, and R. M. Gehre. "The transverse field Richtmyer-Meshkov instability in magnetohydrodynamics." Physics of Fluids 26, no. 1 (2014): 016102. http://dx.doi.org/10.1063/1.4851255.

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Saffman, M., D. Montgomery, A. A. Zozulya, K. Kuroda, and D. Z. Anderson. "Transverse instability of counterpropagating waves in photorefractive media." Physical Review A 48, no. 4 (1993): 3209–15. http://dx.doi.org/10.1103/physreva.48.3209.

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Houseman, Gregory A., Emily A. Neil, and Monica D. Kohler. "Lithospheric instability beneath the Transverse Ranges of California." Journal of Geophysical Research: Solid Earth 105, B7 (2000): 16237–50. http://dx.doi.org/10.1029/2000jb900118.

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Saxl, K. "Transverse Taper and Instability in Four-High Rolling." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 205, no. 2 (1991): 91–95. http://dx.doi.org/10.1243/pime_proc_1991_205_206_02.

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Yang, Kwang‐Sup. "Coupled transverse modulational instability of electron cyclotron waves." Physics of Plasmas 2, no. 3 (1995): 678–85. http://dx.doi.org/10.1063/1.871419.

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Rousset, Frederic, and Nikolay Tzvetkov. "Transverse instability of the line solitary water-waves." Inventiones mathematicae 184, no. 2 (2010): 257–388. http://dx.doi.org/10.1007/s00222-010-0290-7.

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Palmer, Robert C., David A. Podeszwa, Philip L. Wilson, and Henry B. Ellis. "Coronal and Transverse Malalignment in Pediatric Patellofemoral Instability." Journal of Clinical Medicine 10, no. 14 (2021): 3035. http://dx.doi.org/10.3390/jcm10143035.

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Patellofemoral instability (PFI) encompasses symptomatic patellar instability, patella subluxations, and frank dislocations. Previous studies have estimated the incidence of acute patellar dislocation at 43 per 100,000 children younger than age 16 years. The medial patellofemoral ligament (MPFL) complex is a static soft tissue constraint that stabilizes the patellofemoral joint serving as a checkrein to prevent lateral displacement. The causes of PFI are multifactorial and not attributed solely to anatomic features within the knee joint proper. Specific anatomic features to consider include patella alta, increased tibial tubercle–trochlear groove distance, genu valgum, external tibial torsion, femoral anteversion, and ligamentous laxity. The purpose of this paper is to provide a review of the evaluation of PFI in the pediatric and adolescent patient with a specific focus on the contributions of coronal and transverse plane deformities. Moreover, a framework will be provided for the incorporation of bony procedures to address these issues.

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Jin, Robin Ming Chen &. Jie. "Transverse Instability of the CH-KP-I Equation." Annals of Applied Mathematics 37, no. 3 (2021): 337–62. http://dx.doi.org/10.4208/aam.oa-2021-0004.

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