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Journal articles on the topic 'Nonlinear mode coupling'

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Author: Grafiati

Published: 10 December 2022

Last updated: 29 January 2023

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1

Zhu, Xiang, Long Zeng, Zhiyong Qiu, Shiyao Lin, Tao Zhang, Jian Bao, Youjun Hu, et al. "Nonlinear mode couplings between geodesic acoustic mode and toroidal Alfvén eigenmodes in the EAST tokamak." Physics of Plasmas 29, no. 6 (June 2022): 062504. http://dx.doi.org/10.1063/5.0088839.

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Multiple toroidal Alfvén eigenmodes (TAEs) driven unstable by energetic electrons and a geodesic acoustic mode (GAM) have been successively observed in the Experimental Advanced Superconducting Tokamak (EAST) low-density Ohmic discharges. Nonlinear mode couplings among these modes are conclusively identified. Theoretical analysis suggests that the coupling of simultaneously driven TAEs is the mechanism for GAM excitation. These results experimentally show the potential role of nonlinear mode coupling to the saturation of energetic-particle driven TAE instability, which may nonlinearly transfer energy of energetic particles to bulk plasma and heat fuel ions via low frequency mode such as GAM.

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2

Stark, C. R., D. A. Diver, A. A. da Costa, and E. W. Laing. "Nonlinear mode coupling in pair plasmas." Astronomy & Astrophysics 476, no. 1 (October 23, 2007): 17–30. http://dx.doi.org/10.1051/0004-6361:20077988.

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3

Matheny, M. H., L. G. Villanueva, R. B. Karabalin, J. E. Sader, and M. L. Roukes. "Nonlinear Mode-Coupling in Nanomechanical Systems." Nano Letters 13, no. 4 (March 25, 2013): 1622–26. http://dx.doi.org/10.1021/nl400070e.

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4

Van Hoolst, T. "Quadratic and Cubic Couplings of Oscillation Modes of Stars." International Astronomical Union Colloquium 155 (1995): 287–88. http://dx.doi.org/10.1017/s0252921100037131.

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The strength of nonlinear interactions of oscillation modes of stars is determined by the amplitudes as well as by the eigenfunctions of the oscillation modes. The intrinsic couplings of modes through their eigenfunctions can be described by coupling coefficients. Here, we concentrate on quadratic and cubic coupling coefficients that describe the nonlinear coupling of modes with itself and are called self-coupling coefficients.We considered radial and nonradial oscillation modes of polytropic models with degrees of central condensation that correspond to central condensations of main sequence stars to highly condensed evolved stars. We study the influence of the radial order and the degree of the oscillation mode on the self- coupling coefficients.

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5

Deng, X. H., and S. Wang. "Nonlinear Mode Coupling of Resistive Instability and the Flares of February 4 and 6, 1986." International Astronomical Union Colloquium 141 (1993): 401–3. http://dx.doi.org/10.1017/s025292110002950x.

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AbstractIn this paper, we propose a mechanism of solar flare based on the 3-D nonlinear mode coupling of resistive tearing instability. The results show that the nonlinear coupling of tearing modes leads the rapid destabilization of some high modes. Furthermore, tearing mode turbulence is formed and anomalous resistivity is produced, which in turn, quickens the development of tearing instability and accelerate the magnetic reconnection process. It is suggested that the fast magnetic reconnection as a mechanism of solar flare may be associated with this self-excited process caused by the nonlinear mode coupling of tearing instability in the solar corona. Using our model, we successfully explain all the main typical characters of the flares of February 4 and 6, 1986.

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6

Li-Feng, Wang, Ye Wen-Hua, Li Ying-Jun, and Meng Li-Min. "Mode coupling in nonlinear Kelvin–Helmholtz instability." Chinese Physics B 17, no. 10 (October 2008): 3792–98. http://dx.doi.org/10.1088/1674-1056/17/10/043.

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7

Ofer, Dror, Dov Shvarts, Ze’ev Zinamon, and Steven A. Orszag. "Mode coupling in nonlinear Rayleigh–Taylor instability." Physics of Fluids B: Plasma Physics 4, no. 11 (November 1992): 3549–61. http://dx.doi.org/10.1063/1.860362.

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8

Lacot, E., and F. Stoeckel. "Nonlinear mode coupling in a microchip laser." Journal of the Optical Society of America B 13, no. 9 (September 1, 1996): 2034. http://dx.doi.org/10.1364/josab.13.002034.

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9

Fischer, Baruch, and Mordechai Segev. "Photorefractive waveguides and nonlinear mode coupling effects." Applied Physics Letters 54, no. 8 (February 20, 1989): 684–86. http://dx.doi.org/10.1063/1.100886.

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10

Shukla, P. K., and L. Stenflo. "Nonlinear mode coupling equations in elecron magnetohydrodynamics." Physics Letters A 184, no. 3 (January 1994): 273–76. http://dx.doi.org/10.1016/0375-9601(94)90388-3.

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11

Sydorenko, Igor, Victor Kurgan, and Anatoly Konoplev. "Operation of elastic coupling with nonlinear mechanical feedback in the motor starting mode." Annals Constanta Maritime University 27, no. 2018 (2018): 61–64. http://dx.doi.org/10.38130/cmu.2067.100/42/10.

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Modeling the work of elastic couplings with nonlinear mechanical coupling linkage in the mode of transmission starting from a technical system whose harmonic disturbance has been carried out. Estimation of efficiency of elastic couplings application for solving problems of oscillatory processes optimization has been done. Recommendations concerning the use of elastic couplings for overcoming "multiple" resonances without the use of additional dissipation devices have been developed.

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12

Proctor, J., and J. Nathan Kutz. "Averaged models for passive mode-locking using nonlinear mode-coupling." Mathematics and Computers in Simulation 74, no. 4-5 (March 2007): 333–42. http://dx.doi.org/10.1016/j.matcom.2006.10.030.

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13

TSAI, HSUN-HENG, and CHYUAN-YOW TSENG. "CODIMENSION-THREE BIFURCATIONS OF NONLINEAR VIBRATION-CONTROLLED SYSTEMS." Modern Physics Letters B 24, no. 02 (January 20, 2010): 225–46. http://dx.doi.org/10.1142/s0217984910022317.

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The nonlinear dynamics of a vibration-controlled magnetic system are studied via a three-mode discretization of the governing partial differential equations. The analysis focuses specifically on the effects of modal coupling through the nonlinear terms of the system equation. A bifurcation analysis of the system is performed using sophisticated nonlinear theories, including the center manifold theory and the normal form theorem. The results show that when the first mode and the higher modes are excited simultaneously by the control forces, the three-mode approximation method predicts the existence of a triple zero degeneracy accompanied by complicated bifurcation phenomena. Comparing the dynamics structure predicted by the three-mode approximation model with that obtained from a single-mode approach, it is found that if the higher modes are excited by the control forces, the effects of modal coupling should be taken into consideration since a complicated dynamics structure may exist as a result.

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14

Suzuki, Yasuhiro, Shimpei Futatani, and Joachim Geiger. "Nonlinear MHD simulation of core plasma collapse events in Wendelstein 7-X." Plasma Physics and Controlled Fusion 63, no. 12 (November 17, 2021): 124009. http://dx.doi.org/10.1088/1361-6587/ac3499.

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Abstract Three-dimensional nonlinear MHD simulations study the core collapse events observed in a stellarator experiment, Wendelstein 7-X. In the low magnetic shear configuration like the Wendelstein 7-X, the rotational transform profile is very sensitive to the toroidal current density. The 3D equilibrium with localized toroidal current density is studied. If the toroidal current density follows locally in the middle of the minor radius, the rotational transform is also changed locally. Sometimes, the magnetic topology changes due to appearing the magnetic island. A full three-dimensional nonlinear MHD code studies the nonlinear behaviors of the MHD instability. It was found that the following sequence. At first, the high-n ballooning-type mode structure appears in the plasma core, and then the mode linearly grows. The high-n ballooning modes nonlinearly couple and saturate. The mode structure changes to the low-n mode. The magnetic field structure becomes strongly stochastic into the plasma core due to the nonlinear coupling in that phase. Finally, the plasma pressure diffuses along the stochastic field lines, and then the core plasma pressure drops. This is a crucial result to interpret the core collapse event by strong nonlinear coupling.

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15

FENG, Z. C. "Instability caused by the coupling between non-resonant shape oscillation modes of a charged conducting drop." Journal of Fluid Mechanics 333 (February 25, 1997): 1–21. http://dx.doi.org/10.1017/s0022112096004156.

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By examining the modal interaction between two non-resonant shape oscillation modes of a charged liquid drop, we have identified a new route to instability via nonlinear coupling. We present numerical simulation results to show that when shape perturbation of a high-mode number Legendre mode is applied to the drop, the prolate–oblate mode of the drop may grow unbounded. Using multiple-scale analysis, we derive amplitude equations for the high-mode-number shape mode and the prolate–oblate mode to show the nonlinear coupling between the two modes.

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16

Lutsko, James, and James W. Dufty. "Mode-coupling contributions to the nonlinear shear viscosity." Physical Review A 32, no. 2 (August 1, 1985): 1229–31. http://dx.doi.org/10.1103/physreva.32.1229.

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17

Sefi, Seckin, Petr Marek, and Radim Filip. "Deterministic multi-mode nonlinear coupling for quantum circuits." New Journal of Physics 21, no. 6 (June 12, 2019): 063018. http://dx.doi.org/10.1088/1367-2630/ab246d.

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18

Khitrova, G., H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch. "Nonlinear optics of normal-mode-coupling semiconductor microcavities." Reviews of Modern Physics 71, no. 5 (October 1, 1999): 1591–639. http://dx.doi.org/10.1103/revmodphys.71.1591.

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19

Assadi, S., S. C. Prager, and K. L. Sidikman. "Measurement of nonlinear mode coupling of tearing fluctuations." Physical Review Letters 69, no. 2 (July 13, 1992): 281–84. http://dx.doi.org/10.1103/physrevlett.69.281.

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20

Paschotta, R., K. Fiedler, P. K�rz, and J. Mlynek. "Nonlinear mode coupling in doubly resonant frequency doublers." Applied Physics B Laser and Optics 58, no. 2 (February 1994): 117–22. http://dx.doi.org/10.1007/bf01082345.

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21

Shukla, P. K. "New mode coupling equations for nonlinear drift waves." Physics Letters A 157, no. 2-3 (July 1991): 137–40. http://dx.doi.org/10.1016/0375-9601(91)90086-n.

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22

KAVRUK, D., and H. YURTSEVEN. "TEMPERATURE DEPENDENCE OF THE DAMPING CONSTANT CLOSE TO THE I–II PHASE TRANSITION IN s-TRIAZINE." International Journal of Modern Physics B 24, no. 03 (January 30, 2010): 369–80. http://dx.doi.org/10.1142/s0217979209053825.

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The damping constant is calculated here at various temperatures for the Raman mode II in s-triazine using the soft mode–hard mode coupling model. The temperature dependence of the order parameter is used as the input data to calculate the damping constant of the Raman mode studied in this coupling model for s-triazine close to the I–II transition (Tc = 198 K ). The soft mode–hard mode coupling model which considers the coupling of the soft acoustic mode with the optic modes in s-triazine, is fitted to the observed halfwidths of the Raman mode II close to the I–II phase transition in this crystal.

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23

Lu, Kuo, Qingsong Li, Xin Zhou, Guoxiong Song, Kai Wu, Ming Zhuo, Xuezhong Wu, and Dingbang Xiao. "Modal Coupling Effect in a Novel Nonlinear Micromechanical Resonator." Micromachines 11, no. 5 (April 29, 2020): 472. http://dx.doi.org/10.3390/mi11050472.

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Capacitive micromechanical resonators share electrodes with the same bias voltage, resulting in the occurrence of electrostatic coupling between intrinsic modes. Unlike the traditional mechanical coupling, the electrostatic coupling is determined by the structural electric potential energy, and generally, it only occurs when the coupling modes operate in nonlinear regions. However, previous electrostatic coupling studies mainly focus on the stiffness softening region, with little attention on the opposite stiffness hardening condition. This paper presents a study on the electrostatic modal coupling effect in the stiffness hardening region. A novel capacitive micromechanical resonator with different modal nonlinearities is designed and fabricated. It is demonstrated that activating a cavity mode can shift the fundamental resonance of the manipulated mode by nearly 90 times its mechanical bandwidth. Moreover, the frequency shifting direction is found to be related to the manipulated mode’s nonlinearity, while the frequency hopscotch is determined by the cavity mode’s nonlinearity. The electrostatic coupling has been proven to be an efficient and tunable dynamical coupling with great potential for tuning the frequency in a wide range. The modal coupling theory displayed in this paper is suitable for most capacitive resonators and can be used to improve the resonator’s performance.

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24

Reichman, David R., and Patrick Charbonneau. "Mode-coupling theory." Journal of Statistical Mechanics: Theory and Experiment 2005, no. 05 (May 31, 2005): P05013. http://dx.doi.org/10.1088/1742-5468/2005/05/p05013.

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25

Yang, C. C., Ding-Wei Huang, Chih-Wei Hsu, Sheng-Yau Liang, Choong-Wen Lay, and Ming-Shan Lin. "Passive Mode-Locking Techniques of Lasers." International Journal of High Speed Electronics and Systems 08, no. 04 (December 1997): 599–619. http://dx.doi.org/10.1142/s0129156497000238.

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In the frequency domain, mode-locking of a laser is to "lock" the relative phase of various iongitudinal modes in order to form pulses. In many applications, passive mode-locking is superior to active mode-locking because the former does not need any external active sources as required for the latter. For passive mode-locking, we only need certain nonlinear effects to produce pulse compression mechanisms in laser systems. When the compression mechanism is balanced with some broadening effects, such as group-velocity dispersion, stable pulses can be obtained. In this paper, we first review several passive mode-locking techniques by explaining the pulse compression mechanisms. These techniques include saturable absorption mode-locking, colliding-pulse mode-locking, additive-pulse mode-locking, Kerr-lens mode-locking, nonlinear polarization mode-locking and nonlinear coupling mode-locking. Then, we review some of our research results related to nonlinear polarization mode-locking, nonlinear coupling mode-locking and additive-pulse mode-locking. These results come from the experimental, theoretical and numerical studies of fiber and semiconductor lasers.

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26

Yang, T. C. "Acoustic mode coupling induced by nonlinear internal waves: Evaluation of the mode coupling matrices and applications." Journal of the Acoustical Society of America 135, no. 2 (February 2014): 610–25. http://dx.doi.org/10.1121/1.4861253.

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27

Cao, Yuteng, Dengqing Cao, and Wenhu Huang. "Nonlinear dynamic modeling and decoupling for rigid–flexible coupled system of spacecraft with rapid maneuver." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 14 (March 31, 2019): 4896–913. http://dx.doi.org/10.1177/0954406219840378.

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In this paper, the rigid–flexible coupled model of a spacecraft composed of a rigid platform and two flexible solar arrays is investigated. Considering the rapid maneuver of a spacecraft, the first-order approximation coupling model should be adopted. The nonlinear dynamic equations, which remain the second-order coupling terms of axial displacement caused by the transverse motion of solar arrays, are obtained by using the Hamilton principle. Then the global mode method is adopted to obtain the mode shapes of the linearized model. The global mode shapes are proved to be orthogonal and used to discrete the continuum first-order approximation coupling model. Then the rigid–flexible coupled model of the spacecraft is decoupled by global mode shapes. The model is validated by comparing with that obtained from the finite element method. The simulation results demonstrate that the global mode method has the advantage of lower dimensions but higher accuracy. The analysis of parameters variation and dynamic responses shows that the first-order approximation coupling model is more accurate than the linearized model and has a broader scope of application than that of the zero-order approximation coupling model.

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28

Kumbhakar, Dharmadas. "Nonlinear Coherent Directional Coupler: Coupled Mode Theory and BPM Simulation." International Journal of Optics 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/173250.

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Finite difference beam propagation method is an accurate numerical procedure, used here to explore the switching dynamics of a nonlinear coherent directional coupler. The coupling lengths derived from this simulation are compared with coupled mode theories. BPM results for the critical power follow the trend of the coupled mode theories, but it lies in between two coupled mode theories. Coupled mode theory is sensitive to numerical approximations whereas BPM results practically do not depend on grid size and longitudinal step size. Effect of coupling-region-width and core-width variations on critical power and coupling length is studied using BPM to look at the aspects of optical power-switch design.

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29

Jansen, Thomas la Cour, and Shaul Mukamel. "Semiclassical mode-coupling factorizations of coherent nonlinear optical response." Journal of Chemical Physics 119, no. 15 (October 15, 2003): 7979–87. http://dx.doi.org/10.1063/1.1610437.

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30

Zolotovskii, I. O., and D. I. Sementsov. "Envelope shock waves in nonlinear systems with mode coupling." Technical Physics Letters 27, no. 7 (July 2001): 572–74. http://dx.doi.org/10.1134/1.1388947.

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31

Hansen, A. K., A. F. Almagri, D. Craig, D. J. Den Hartog, C. C. Hegna, S. C. Prager, and J. S. Sarff. "Momentum Transport from Nonlinear Mode Coupling of Magnetic Fluctuations." Physical Review Letters 85, no. 16 (October 16, 2000): 3408–11. http://dx.doi.org/10.1103/physrevlett.85.3408.

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32

Grimshaw, Roger, Jianming He, and Boris A. Malomed. "Nonlinear analysis of instability produced by linear mode coupling." Physica D: Nonlinear Phenomena 113, no. 1 (February 1998): 26–42. http://dx.doi.org/10.1016/s0167-2789(97)00189-9.

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33

Gupta, Sunit K., Mohammad A. Bukhari, and Oumar R. Barry. "Nonlinear mode coupling in a passively isolated mechanical system." Nonlinear Dynamics 101, no. 4 (September 2020): 2055–86. http://dx.doi.org/10.1007/s11071-020-05908-9.

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34

Karamatskou, Antonia, Robin Santra, and Oriol Vendrell. "Ab Initio Investigation of Nonlinear Mode Coupling in C60." Journal of Physical Chemistry Letters 8, no. 22 (November 2017): 5543–47. http://dx.doi.org/10.1021/acs.jpclett.7b02573.

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35

Hansson, T., M. Bernard, and S. Wabnitz. "Modulational instability of nonlinear polarization mode coupling in microresonators." Journal of the Optical Society of America B 35, no. 4 (March 16, 2018): 835. http://dx.doi.org/10.1364/josab.35.000835.

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36

DENG, X. H., J. F. WANG, B. C. ZHANG, and Z. G. CHEN. "Three-dimensional nonlinear mode coupling of the double-tearing instability." Journal of Plasma Physics 58, no. 2 (August 1997): 223–32. http://dx.doi.org/10.1017/s0022377897005606.

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The nonlinear development of the double-tearing instability and the mode coupling of different helicities are investigated numerically in cylindrical geometry. The results show that double-tearing instability arises with a central-hollow current-density profile, and the coupling of different low-poloidal mode numbers m leads to rapid destabilization of modes with higher poloidal mode numbers. This instability ultimately leads to the resistive reconnection of parts of the fluxes and reduces the current gradient in the unstable region. It seems likely that this process would accelerate current penetration in the tokamak start-up phase, and it also possibly plays an important role in the triggering of solar flares.

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37

Zhang, Tianyi, Juan Ren, Xueyong Wei, Zhuangde Jiang, and Ronghua Huan. "Nonlinear coupling of flexural mode and extensional bulk mode in micromechanical resonators." Applied Physics Letters 109, no. 22 (November 28, 2016): 224102. http://dx.doi.org/10.1063/1.4970556.

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38

She, Houxin, Chaofeng Li, Qiansheng Tang, Hui Ma, and Bangchun Wen. "Computation and investigation of mode characteristics in nonlinear system with tuned/mistuned contact interface." Frontiers of Mechanical Engineering 15, no. 1 (December 19, 2019): 133–50. http://dx.doi.org/10.1007/s11465-019-0557-7.

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AbstractThis study derived a novel computation algorithm for a mechanical system with multiple friction contact interfaces that is well-suited to the investigation of nonlinear mode characteristic of a coupling system. The procedure uses the incremental harmonic balance method to obtain the nonlinear parameters of the contact interface. Thereafter, the computed nonlinear parameters are applied to rebuild the matrices of the coupling system, which can be easily solved to calculate the nonlinear mode characteristics by standard iterative solvers. Lastly, the derived method is applied to a cycle symmetry system, which represents a shaft-disk-blade system subjected to dry friction. Moreover, this study analyzed the effects of the tuned and mistuned contact features on the nonlinear mode characteristics. Numerical results prove that the proposed method is particularly suitable for the study of nonlinear characteristics in such nonlinear systems.

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39

Degond, Pierre, and Hui Yu. "Self-organized hydrodynamics in an annular domain: Modal analysis and nonlinear effects." Mathematical Models and Methods in Applied Sciences 25, no. 03 (December 8, 2014): 495–519. http://dx.doi.org/10.1142/s0218202515400047.

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The Self-Organized Hydrodynamics model of collective behavior is studied on an annular domain. A modal analysis of the linearized model around a perfectly polarized steady-state is conducted. It shows that the model has only pure imaginary modes in countable number and is hence stable. Numerical computations of the low-order modes are provided. The fully nonlinear model is numerically solved and nonlinear mode-coupling is then analyzed. Finally, the efficiency of the modal decomposition to analyze the complex features of the nonlinear model is demonstrated.

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40

Asadi, Keivan, Jun Yu, and Hanna Cho. "Nonlinear couplings and energy transfers in micro- and nano-mechanical resonators: intermodal coupling, internal resonance and synchronization." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2127 (July 23, 2018): 20170141. http://dx.doi.org/10.1098/rsta.2017.0141.

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Extensive development of micro/nano-electromechanical systems (MEMS/NEMS) has resulted in technologies that exhibit excellent performance over a wide range of applications in both applied (e.g. sensing, imaging, timing and signal processing) and fundamental sciences (e.g. quantum-level problems). Many of these outstanding applications benefit from resonance phenomena by employing micro/nanoscale mechanical resonators often fabricated into a beam-, membrane- or plate-type structure. During the early development stage, one of the vibrational modes (typically the fundamental mode) of a resonator is considered in the design and application. In the past decade, however, there has been a growing interest in using more than one vibrational mode for the enhanced functionality of MEMS/NEMS. In this paper, we review recent research efforts to investigate the nonlinear coupling and energy transfers between multiple modes in micro/nano-mechanical resonators, focusing especially on intermodal coupling, internal resonance and synchronization. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.

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41

Chen, Haibing, Wei Lin, Tielin Ma, Hengxian Jin, and Cheng Xu. "Parameter Adaptive Terminal Sliding Mode Control of Flexible Coupling Air-Breathing Hypersonic Vehicle." International Journal of Aerospace Engineering 2020 (July 11, 2020): 1–17. http://dx.doi.org/10.1155/2020/9430272.

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The highly nonlinear and coupling characteristics of a flexible air-breathing hypersonic vehicle create great challenges to its flight control design. A unique parameter adaptive nonsingular terminal sliding mode method is proposed for longitudinal control law design of a flexible coupling air-breathing hypersonic vehicle. This method uses adaptive reaching law gain instead of the additional adaptive compensation term to handle the uncertainty to improve robustness. The stability of the close loop system is proved via a Lyapunov way. The longitudinal tracking control law for velocity and angle of attack is designed based on a rigid dynamic model of a flexible air-breathing hypersonic vehicle. A strong coupling model of the same vehicle, considering aerodynamic-scramjet engine-flight dynamic-elastic couplings, is established as the verification platform of the designed control law. The remarkable differences of flight dynamic characteristics between this strong coupling model and the rigid body model can be seen, which mean the controller needs to endure very great uncertainty, unmodeled dynamics, and other types of internal disturbance. Simulation results based on the coupling model demonstrate that the designed control law has good performance and acceptable robustness.

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42

Raju, D., O. Sauter, and J. B. Lister. "Study of nonlinear mode coupling during neoclassical tearing modes using bispectrum analysis." Plasma Physics and Controlled Fusion 45, no. 4 (March 11, 2003): 369–78. http://dx.doi.org/10.1088/0741-3335/45/4/304.

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43

Rusli, M., M. H. Fesa, H. Dahlan, and M. Bur. "Squeal Noise Analysis Using A Combination of Nonlinear Friction Contact Model." International Journal of Automotive and Mechanical Engineering 17, no. 3 (October 6, 2020): 8160–67. http://dx.doi.org/10.15282/ijame.17.3.2020.09.0613.

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Squeal noise is generated by an unstable friction-induced vibration in a mechanical structure with friction load. Nonlinear mechanisms like sprag-slip, stick-slip, and negative frictions damping are believed in contributing to generate this kind of noise. However, the prediction of its occurrence still counts on the analysis of complex-linear eigenvalue, which may underpredict the number of unstable vibration modes. The structure also is found to seem to generate squeal noise randomly. In this paper, nonlinear analysis of a squeal noise is investigated. The study is conducted numerically by a simple two-degree of freedom model and an experimental observation using a circular and slider plate with a friction contact interface. The friction force is modeled as a function cubic nonlinear contact stiffness and nonlinear negative velocity function of friction coefficient. It is found that mode coupling instability will occur if the normal contact stiffness and friction coefficient exceed the bifurcation point to generate a couple-complex conjugate eigenvalue and eigenvector. However, when the system is stated linearly stable, instability still can appear because of increasing the nonlinear contact stiffness and coefficient of friction. The instability is affected significantly by relative velocity and pressing force. Both parameters dynamically change depending on the vibration response of the structure. Furthermore, it is also found the stick-slip phenomenon interacted with mode coupling instability to generate squeal noise. It contributes to supply energy to increase the response caused by instability of mode coupling.

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44

Balescu, R., H. Bessenrodt, P. K. Shukla, and K. H. Spatschek. "Instability and saturation of drift-convective modes in an inhomogeneous plasma." Journal of Plasma Physics 37, no. 2 (April 1987): 163–73. http://dx.doi.org/10.1017/s0022377800012083.

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It is found that the inclusion of the electron inertia effect (parallel to an external magnetic field) can provide a linear coupling between the electrostatic drift and the convective modes in a non-uniform plasma. This coupling leads to new branches of rapidly growing modes, which are calculated in the kinetic as well as in the hydrodynamic regimes. To study the saturation of the linear unstable modes, we account for the mode coupling and derive a set of model nonlinear fluid equations. A perturbation technique is employed to obtain a nonlinear evolution equation. In the steady state, the latter yields the saturated electric potential. It is argued that the enhanced low-frequency fluctuations can cause anomalous particle transport in a magnetoplasma.

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45

MOLINA, MARIO I. "THE MAGNETOINDUCTIVE DIMER." Modern Physics Letters B 27, no. 27 (October 15, 2013): 1350196. http://dx.doi.org/10.1142/s0217984913501960.

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In this paper, we examine a nonlinear magnetoinductive dimer and compute its linear and nonlinear symmetric, antisymmetric and asymmetric modes in closed-form, in the rotating-wave approximation. A linear stability analysis of these modes reveals that the asymmetric mode is always stable, for any allowed value of the coupling parameter and for both, hard and soft nonlinearity. An exact numerical computation of the dimer dynamics reveals a magnetic energy self-trapping whose threshold increases for increasing dimer coupling, decreases for increasing nonlinearity response and is robust against asymmetrical nonlinear responses and resonant frequencies mismatch.

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Lai, Chih-Hsien, Hung-Chun Chang, and Jia-Pang Pang. "Numerical Analysis of Nonlinear Directional Couplers." International Journal of High Speed Electronics and Systems 08, no. 04 (December 1997): 665–84. http://dx.doi.org/10.1142/s0129156497000263.

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The original coupled-mode theory for the nonlinear directional coupler (NLDC) and two later improved theories are reviewed and compared with the analysis using the segmentation method proposed in this work. The segmentation method is more accurate in analyzing the NLDC because it takes into account the real situation that the local nonlinear guided modes in the NLDC will vary along the propagation direction due to the accompanying variation in the local power distribution. In the coupled-mode formulations reviewed, however, either linear guided modes or nonlinear modes at a fixed power level are employed when evaluating related coupling quantities.

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Sentef, M. A., M. Ruggenthaler, and A. Rubio. "Cavity quantum-electrodynamical polaritonically enhanced electron-phonon coupling and its influence on superconductivity." Science Advances 4, no. 11 (November 2018): eaau6969. http://dx.doi.org/10.1126/sciadv.aau6969.

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So far, laser control of solids has been mainly discussed in the context of strong classical nonlinear light-matter coupling in a pump-probe framework. Here, we propose a quantum-electrodynamical setting to address the coupling of a low-dimensional quantum material to quantized electromagnetic fields in quantum cavities. Using a protoypical model system describing FeSe/SrTiO3with electron-phonon long-range forward scattering, we study how the formation of phonon polaritons at the two-dimensional interface of the material modifies effective couplings and superconducting properties in a Migdal-Eliashberg simulation. We find that through highly polarizable dipolar phonons, large cavity-enhanced electron-phonon couplings are possible, but superconductivity is not enhanced for the forward-scattering pairing mechanism due to the interplay between coupling enhancement and mode softening. Our results demonstrate that quantum cavities enable the engineering of fundamental couplings in solids, paving the way for unprecedented control of material properties.

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TANG, YANG, RUNHE QIU, and JIAN-AN FANG. "SYNCHRONIZATION IN AN ARRAY OF HYBRID COUPLED NEURAL NETWORKS WITH MODE-DEPENDENT MIXED DELAYS AND MARKOVIAN SWITCHING." Modern Physics Letters B 23, no. 09 (April 10, 2009): 1171–87. http://dx.doi.org/10.1142/s0217984909019314.

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In this letter, a general model of an array of N linearly coupled chaotic neural networks with hybrid coupling is proposed, which is composed of constant coupling, time-varying delay coupling and distributed delay coupling. The complex network jumps from one mode to another according to a Markovian chain with known transition probability. Both the coupling time-varying delays and the coupling distributed delays terms are mode-dependent. By the adaptive feedback technique, several sufficient criteria have been proposed to ensure the synchronization in an array of jump chaotic neural networks with mode-dependent hybrid coupling and mixed delays in mean square. Finally, numerical simulations illustrated by mode switching between two complex networks of different structure dependent on mode switching verify the effectiveness of the proposed results.

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Mazenko, Gene F., and Joonhyun Yeo. "Mode coupling and metastability." Transport Theory and Statistical Physics 24, no. 6-8 (July 1995): 881–901. http://dx.doi.org/10.1080/00411459508203938.

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Fritschi, S., M. Fuchs, and Th Voigtmann. "Mode-coupling analysis of residual stresses in colloidal glasses." Soft Matter 10, no. 27 (2014): 4822–32. http://dx.doi.org/10.1039/c4sm00247d.

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Soft glasses produced after the cessation of shear flow exhibit persistent residual stresses. Mode coupling theory of the glass transition explains their history dependence in terms of nonequilibrium, nonlinear-response relaxation of density fluctuations.

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