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Journal articles on the topic 'Nonlinear'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Zhang, Zhongmian, Dazhi Lu, Haohai Yu, Huaijin Zhang, and Yicheng Wu. "Nonlinear Cherenkov radiation in rotatory nonlinear optics." Chinese Optics Letters 23, no. 4 (2025): 041901. https://doi.org/10.3788/col202523.041901.

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TRUEBA, JOSÉ L., JOAQUÍN RAMS, and MIGUEL A. F. SANJUÁN. "ANALYTICAL ESTIMATES OF THE EFFECT OF NONLINEAR DAMPING IN SOME NONLINEAR OSCILLATORS." International Journal of Bifurcation and Chaos 10, no. 09 (2000): 2257–67. http://dx.doi.org/10.1142/s0218127400001419.

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This paper reports on the effect of nonlinear damping on certain nonlinear oscillators, where analytical estimates provided by the Melnikov theory are obtained. We assume general nonlinear damping terms proportional to the power of velocity. General and useful expressions for the nonlinearly damped Duffing oscillator and for the nonlinearly damped simple pendulum are computed. They provide the critical parameters in terms of the damping coefficient and damping exponent, that is, the power of the velocity, for which complicated behavior is expected. We also consider generalized nonlinear damped

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3

Wang, Yunze, Yan Sheng, Shan Liu, et al. "Wavelength-dependent nonlinear wavefront shaping in 3D nonlinear photonic crystal." Chinese Optics Letters 22, no. 7 (2024): 071901. http://dx.doi.org/10.3788/col202422.071901.

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4

Zou, Yu, Lihong Hong, Jiacheng Li, Jianluo Chen, and Zhi-Yuan Li. "Conical Raman–Nath nonlinear optical diffraction upon PPLN nonlinear gratings." Chinese Optics Letters 23, no. 7 (2025): 071902. https://doi.org/10.3788/col202523.071902.

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5

Tejedor Sastre, María Teresa, and Christian Vanhille. "Nonlinear Maximization of the Sum-Frequency Component from Two Ultrasonic Signals in a Bubbly Liquid." Sensors 20, no. 1 (2019): 113. http://dx.doi.org/10.3390/s20010113.

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Techniques based on ultrasound in nondestructive testing and medical imaging analyze the response of the source frequencies (linear theory) or the second-order frequencies such as higher harmonics, difference and sum frequencies (nonlinear theory). The low attenuation and high directivity of the difference-frequency component generated nonlinearly by parametric arrays are useful. Higher harmonics created directly from a single-frequency source and the sum-frequency component generated nonlinearly by parametric arrays are attractive because of their high spatial resolution and accuracy. The non

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6

Kosek, Zdeněk. "Nonlinear boundary value problem for a system of nonlinear ordinary differential equations." Časopis pro pěstování matematiky 110, no. 2 (1985): 130–44. http://dx.doi.org/10.21136/cpm.1985.108595.

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7

Vatanshenas, Ali. "Nonlinear Analysis of Reinforced Concrete Shear Walls Using Nonlinear Layered Shell Approach." Nordic Concrete Research 65, no. 2 (2021): 63–79. http://dx.doi.org/10.2478/ncr-2021-0014.

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Abstract This study discusses nonlinear modelling of a reinforced concrete wall utilizing the nonlinear layered shell approach. Rebar, unconfined and confined concrete behaviours are defined nonlinearly using proposed analytical models in the literature. Then, finite element model is validated using experimental results. It is shown that the nonlinear layered shell approach is capable of estimating wall response (i.e., stiffness, ultimate strength, and cracking pattern) with adequate accuracy and low computational effort. Modal analysis is conducted to evaluate the inherent characteristics of

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8

Kubáček, Lubomír. "Nonlinear error propagation law." Applications of Mathematics 41, no. 5 (1996): 329–45. http://dx.doi.org/10.21136/am.1996.134330.

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9

Knobloch, H. W. "Observability of nonlinear systems." Mathematica Bohemica 131, no. 4 (2006): 411–18. http://dx.doi.org/10.21136/mb.2006.133974.

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10

Gerasimchuk, V. S., I. V. Gerasimchuk, and N. I. Dranik. "Solutions of Nonlinear Schrodinger Equation with Two Potential Wells in Linear / Nonlinear Media." Zurnal matematiceskoj fiziki, analiza, geometrii 12, no. 2 (2016): 168–76. http://dx.doi.org/10.15407/mag12.02.168.

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11

Wang, Meiqiao, and Wuquan Li. "Distributed adaptive control for nonlinear multi-agent systems with nonlinear parametric uncertainties." Mathematical Biosciences and Engineering 20, no. 7 (2023): 12908–22. http://dx.doi.org/10.3934/mbe.2023576.

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<abstract><p>This paper considers the distributed tracking control problem for a class of nonlinear multi-agent systems with nonlinearly parameterized control coefficients and inherent nonlinearities. The essential of multi-agent systems makes it difficult to directly generalize the existing works for single nonlinearly parameterized systems with uncontrollable unstable linearization to the case in this paper. To dominate the inherent nonlinearities and nonlinear parametric uncertainties, a powerful distributed adaptive tracking control is presented by combing the algebra graph the

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12

Zhu, Yun-Peng, Z. Q. Lang, and Yu-Zhu Guo. "Nonlinear model standardization for the analysis and design of nonlinear systems with multiple equilibria." Nonlinear Dynamics 104, no. 3 (2021): 2553–71. http://dx.doi.org/10.1007/s11071-021-06429-9.

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AbstractIn engineering practice, a nonlinear system stable about several equilibria is often studied by linearizing the system over a small range of operation around each of these equilibria, and allowing the study of the system using linear system methods. Theoretically, for operations beyond a small range but still within the stable regime of an equilibrium, the system behaves nonlinearly, and can be described and investigated using the Volterra series approach. However, there is still no available approach that can systematically transform the model of a nonlinear system into a form that ca

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13

Schaefer, S., E. Vouga, and R. Goldman. "Nonlinear subdivision through nonlinear averaging." Computer Aided Geometric Design 25, no. 3 (2008): 162–80. http://dx.doi.org/10.1016/j.cagd.2007.07.003.

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14

Yim, S. C. S., and S. Narayanan. "Modeling and Identification of a Nonlinear SDOF Moored Structure, Part 2—Comparisons and Sensitivity Study." Journal of Offshore Mechanics and Arctic Engineering 126, no. 2 (2004): 183–90. http://dx.doi.org/10.1115/1.1710874.

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A system-identification technique based on the Reverse Multiple-Input/Single-Output (R-MI/SO) procedure is applied to identify the parameters of an experimental mooring system exhibiting nonlinear behavior. In Part 1, two nonlinear small-body hydrodynamic Morison type formulations: (A) with a relative-velocity (RV) model, and (B) with an independent-flow-field (IFF) model, are formulated. Their associated nonlinear system-identification algorithms based on the R-MI/SO system-identification technique: (A.1) nonlinear-structure linearly damped, and (A.2) nonlinear-structure coupled hydrodynamica

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15

Gluskin, Emanuel. "A nonlinear resistor and nonlinear inductor using a nonlinear capacitor." Journal of the Franklin Institute 336, no. 7 (1999): 1035–47. http://dx.doi.org/10.1016/s0016-0032(99)00029-0.

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16

Smirnov, V. V., M. A. Kovaleva, and L. I. Manevitch. "Nonlinear Dynamics of Torsion Lattices." Nelineinaya Dinamika 14, no. 2 (2018): 179–93. http://dx.doi.org/10.20537/nd180203.

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17

Moulard, Thomas, Benjamin Chr^|^eacute;tien, and Eiichi Yoshida. "Software Tools for Nonlinear Optimization." Journal of the Robotics Society of Japan 32, no. 6 (2014): 536–41. http://dx.doi.org/10.7210/jrsj.32.536.

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18

Zeng, Jing, Sen Wang, Ruwei Zhao, et al. "Nonlinear photonic quasi-periodic spiral." Chinese Optics Letters 22, no. 3 (2024): 031902. http://dx.doi.org/10.3788/col202422.031902.

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19

Abdel-Rohman, Mohamed, and Hasan Al-Sanad. "Control of Nonlinear Vibrations of Foundations Built in Sandy Soil." Journal of Vibration and Control 2, no. 1 (1996): 53–68. http://dx.doi.org/10.1177/107754639600200104.

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Sandy soils behave nonlinearly at stress levels below the peak stress. This influences the dynamic response of the foundations built on sandy soil. This paper shows first the nonlinear vibration response of a block-type foundation due to the vertical, horizontal, and rocking excitations. The nonlinear vibration responses are compared with the linear response assuming linear soil behavior. The second part of the paper shows how to control the harmful effects due to the nonlinear vibrations using passive and active control mechanisms attached to the foundation.

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20

Kotzev, Miroslav, Xiaotang Bi, Matthias Kreitlow, and Frank Gronwald. "Equivalent circuit simulation of HPEM-induced transient responses at nonlinear loads." Advances in Radio Science 15 (September 21, 2017): 175–80. http://dx.doi.org/10.5194/ars-15-175-2017.

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Abstract. In this paper the equivalent circuit modeling of a nonlinearly loaded loop antenna and its transient responses to HPEM field excitations are investigated. For the circuit modeling the general strategy to characterize the nonlinearly loaded antenna by a linear and a nonlinear circuit part is pursued. The linear circuit part can be determined by standard methods of antenna theory and numerical field computation. The modeling of the nonlinear circuit part requires realistic circuit models of the nonlinear loads that are given by Schottky diodes. Combining both parts, appropriate circuit

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21

Peng, Jiehua, Jiashi Tang, and Zili Chen. "Parameter Identification of Weakly Nonlinear Vibration System in Frequency Domain." Shock and Vibration 11, no. 5-6 (2004): 685–92. http://dx.doi.org/10.1155/2004/634785.

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A new method of identifying parameters of nonlinearly vibrating system in frequency domain is presented in this paper. The problems of parameter identification of the nonlinear dynamic system with nonlinear elastic force or nonlinear damping force are discussed. In the method, the mathematic model of parameter identification is frequency response function. Firstly, by means of perturbation method the frequency response function of weakly nonlinear vibration system is derived. Next, a parameter transformation is made and the frequency response function becomes a linear function of the new param

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22

Liu, Xiaofang, and Guodong Sun. "Nonlinear character analysis for bistability in virus–immune dynamics." Future Virology 14, no. 10 (2019): 655–62. http://dx.doi.org/10.2217/fvl-2019-0059.

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Structured abstract Aim: The nonlinear characters of two linearly stable equilibrium states (virus and immune) for a theoretical virus-immune model are analyzed. Methods: Conditional nonlinear optimal perturbation (CNOP), Lyapunov method and linear singular vector method. Results & conclusion: Two linearly stable equilibrium states (immune-free and immune) with linear methods are nonlinearly unstable using the CNOP method. When the CNOP-type of initial perturbation is used in the model, the immune-free (immune) equilibrium state will be made into the immune (immune-free) equilibrium state.

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23

Jafari, Mohammad, Mahmut Reyhanoglu, and Zhandos Kozhabek. "Simple Learning-Based Robust Nonlinear Control of an Electric Pump for Liquid-Propellant Rocket Engines." Electronics 12, no. 16 (2023): 3527. http://dx.doi.org/10.3390/electronics12163527.

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This paper presents a robust nonlinear control strategy for an electric pump for liquid-propellant rocket engines. In order to compensate for model uncertainties and disturbances, a gradient-descent-based simple learning control strategy is employed that minimizes the cost function defined on the error dynamics of the nonlinear system. Detailed stability analysis for the nonlinear system is provided. Computer simulation results are included to demonstrate the effectiveness of the nonlinear control method using an electric pump model consisting of a brushless permanent-magnet direct current (DC

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24

Narayanan, S., and S. C. S. Yim. "Modeling and Identification of a Nonlinear SDOF Moored Structure, Part 1—Hydrodynamic Models and Algorithms." Journal of Offshore Mechanics and Arctic Engineering 126, no. 2 (2004): 175–82. http://dx.doi.org/10.1115/1.1710875.

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The highly nonlinear responses of compliant ocean structures characterized by a large-geometry restoring force and coupled fluid-structure interaction excitation are of great interest to ocean and coastal engineers. Practical modeling, parameter identification, and incorporation of the inherent nonlinear dynamics in the design of these systems are essential and challenging. The general approach of a nonlinear system technique using very simple models has been presented in the literature by Bendat. In Part 1 of this two-part study, two specific nonlinear small-body hydrodynamic Morison type for

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25

Umran, Fadhil A. "Experimental observation of the far field diffraction patterns of functionalization single and multi-walled carbon nanotubes using nonlinear diffraction technique." Iraqi Journal of Physics (IJP) 17, no. 40 (2019): 33–41. http://dx.doi.org/10.30723/ijp.v17i40.402.

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Nonlinear diffraction pattern can be induced by focusing CWlaser into a thin quartzes cuvette containing nanofluid. The numberof revealed pattern rings indicates to the nonlinear behavior of fluid.Here, the nonlinear refractive index of each of functionalized singlewall carbon nanotube (F-SWCNTs) suspention and multi wall carbonnanotube (F-MWCNTs) suspention have been investigatedexperimentally .Each of CNTs suspention was at volume fraction of13×10−5 and 6×10−5. Moreover the laser source at wavelength of473 nm was used. The results show that SWCNTs suspentionpossesses higher nonlinearty than

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26

NUGROHO, MOCHAMAD ARI BAGUS, NOVIE AYUB WINDARKO, and BAMBANG SUMANTRI. "Perancangan Kendali Multilevel Inverter Satu Fasa Tiga Tingkat dengan PI+feedforward pada Beban Nonlinier." ELKOMIKA: Jurnal Teknik Energi Elektrik, Teknik Telekomunikasi, & Teknik Elektronika 7, no. 3 (2019): 493. http://dx.doi.org/10.26760/elkomika.v7i3.493.

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ABSTRAKSebuah konverter daya multilevel inverter diharapkan mampu untuk menyuplai tegangan AC ideal pada kondisi beban linier maupun nonlinier. Diharapkan metode kendali mampu cepat tanggap dan mampu mempertahankan bentuk tegangan AC keluaran inverter. Pengendali PI+feedforward diajukan dalam makalah ini. Pengendali ini akan diuji dengan beban linier maupun nonlinier. Beban nonlinier berupa rangkaian penyearah dengan filter kapasitor. Berdasarkan pengujian simulasi didapatkan bahwa pengendali PI+feedforward lebih cepat tanggap terhadap gangguan yang dibuktikan dengan nilai kesalahan rata-rata

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27

Güttel, Stefan, and Françoise Tisseur. "The nonlinear eigenvalue problem." Acta Numerica 26 (May 1, 2017): 1–94. http://dx.doi.org/10.1017/s0962492917000034.

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Nonlinear eigenvalue problems arise in a variety of science and engineering applications, and in the past ten years there have been numerous breakthroughs in the development of numerical methods. This article surveys nonlinear eigenvalue problems associated with matrix-valued functions which depend nonlinearly on a single scalar parameter, with a particular emphasis on their mathematical properties and available numerical solution techniques. Solvers based on Newton’s method, contour integration and sampling via rational interpolation are reviewed. Problems of selecting the appropriate paramet

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28

Ibrahim, E. A., and S. P. Lin. "Weakly Nonlinear Instability of a Liquid Jet in a Viscous Gas." Journal of Applied Mechanics 59, no. 2S (1992): S291—S296. http://dx.doi.org/10.1115/1.2899503.

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The weakly nonlinear instability of a viscous liquid jet emanated into a viscous gas contained in a coaxial vertical circular pipe is investigated as an initial-value problem. The linear stability theory predicted that the jet may become unstable either due to capillary pinching or due to interfacial stress fluctuation. The results of nonlinear stability analysis shows no tendency of supercritical stability for both of the linearly unstable modes. In fact, the nonlinear growth rate of the disturbance is faster than the exponential growth rate of the linear normal mode disturbance for the same

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29

Liu, Lijun. "A simple nonlinearH∞control design method: Polynomial nonlinear control." International Journal of Robust and Nonlinear Control 28, no. 17 (2018): 5406–23. http://dx.doi.org/10.1002/rnc.4322.

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30

Song, Jiecheng, and Merry Ma. "Climate Change: Linear and Nonlinear Causality Analysis." Stats 6, no. 2 (2023): 626–42. http://dx.doi.org/10.3390/stats6020040.

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The goal of this study is to detect linear and nonlinear causal pathways toward climate change as measured by changes in global mean surface temperature and global mean sea level over time using a data-based approach in contrast to the traditional physics-based models. Monthly data on potential climate change causal factors, including greenhouse gas concentrations, sunspot numbers, humidity, ice sheets mass, and sea ice coverage, from January 2003 to December 2021, have been utilized in the analysis. We first applied the vector autoregressive model (VAR) and Granger causality test to gauge the

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31

Semenikhina, Diana V., and Nikolay N. Gorbatenko. "Nonlinear Cylindrical Markers Using Metamaterials." Remote Sensing 13, no. 24 (2021): 5006. http://dx.doi.org/10.3390/rs13245006.

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In this paper, the research of nonlinear cylindrical metastructure was obtained. An algorithm for finding the total field of a nonlinearly loaded perfectly conducting cylinder covered with a metamaterial (MM) layer based on Maxwell’s equations with nonlinear boundary conditions on the surface of nonlinear loads (NL) was developed. A software package implementing this algorithm was created. Based on the results of numerical calculations of the program, the scattering diagrams of a metal cylinder with NL, covered with a layer of MM at the fundamental, second, and third harmonics were obtained. T

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32

PENG, SHIGE. "NONLINEAR EXPECTATIONS AND NONLINEAR MARKOV CHAINS." Chinese Annals of Mathematics 26, no. 02 (2005): 159–84. http://dx.doi.org/10.1142/s0252959905000154.

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33

de los Santos-Sánchez, O., and J. Récamier. "Nonlinear coherent states for nonlinear systems." Journal of Physics A: Mathematical and Theoretical 44, no. 14 (2011): 145307. http://dx.doi.org/10.1088/1751-8113/44/14/145307.

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34

Dermanis, Athanasios, and Fernando Sansó. "Nonlinear estimation problems for nonlinear models." manuscripta geodaetica 20, no. 2 (1995): 110–22. http://dx.doi.org/10.1007/bf03655360.

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35

Gao, Lei, Jia-Jun Wang, and Zhen-Ya Li. "Nonlinear Susceptibility of Strongly Nonlinear composites." Communications in Theoretical Physics 27, no. 4 (1997): 403–6. http://dx.doi.org/10.1088/0253-6102/27/4/403.

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36

Dower, Peter M., Huan Zhang, and Christopher M. Kellett. "Nonlinear -gain verification for nonlinear systems." Systems & Control Letters 61, no. 4 (2012): 563–72. http://dx.doi.org/10.1016/j.sysconle.2012.02.006.

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37

Kalaycıoğlu, Taner, and H. Nevzat Özgüven. "Nonlinear structural modification and nonlinear coupling." Mechanical Systems and Signal Processing 46, no. 2 (2014): 289–306. http://dx.doi.org/10.1016/j.ymssp.2014.01.016.

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38

Lin, Yanping, and Hong-Ming Yin. "Nonlinear parabolic equations with nonlinear functionals." Journal of Mathematical Analysis and Applications 168, no. 1 (1992): 28–41. http://dx.doi.org/10.1016/0022-247x(92)90187-i.

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39

Anguita, J. A., and M. A. Neifeld. "Nonlinear Codes for Dispersive Nonlinear Fibers." IEEE Photonics Technology Letters 16, no. 12 (2004): 2622–24. http://dx.doi.org/10.1109/lpt.2004.836754.

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40

FAINBERG, B. D., B. ZOLOTOV, and D. HUPPERT. "NONLINEAR LASER SPECTROSCOPY OF NONLINEAR SOLVATION." Journal of Nonlinear Optical Physics & Materials 05, no. 04 (1996): 789–807. http://dx.doi.org/10.1142/s0218863596000568.

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In this study we show that the transient four-photon spectroscopy with pulses longer than the electronic transition dephasing can be used for nonlinear solvation study, i.e., when the linear response for the solvation dynamics breaks down. We have obtained new formulae describing the time evolution of the moments of the nonlinear optical spectra and, in particular, the time resolved fluorescence in the case of nonlinear solvation.

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41

Wang, Jinbo, Michael A. Spall, Glenn R. Flierl, and Paola Malanotte-Rizzoli. "Nonlinear Radiating Instability of a Barotropic Eastern Boundary Current." Journal of Physical Oceanography 43, no. 7 (2013): 1439–52. http://dx.doi.org/10.1175/jpo-d-12-0174.1.

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Abstract Linear and nonlinear radiating instabilities of an eastern boundary current are studied using a barotropic quasigeostrophic model in an idealized meridional channel. The eastern boundary current is meridionally uniform and produces unstable modes in which long waves are most able to radiate. These long radiating modes are easily suppressed by friction because of their small growth rates. However, the long radiating modes can overcome friction by nonlinear energy input transferred from the more unstable trapped mode and play an important role in the energy budget of the boundary curren

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42

Jasur, Erkinovich Urunbayev. "ON THE ASYMPTOTICS OF SOLUTIONS TO A DUAL NONLINEAR REACTION-DIFFUSION PROBLEM WITH A SOURCE AND INHOMOGENEOUS DENSITY." CENTRAL ASIAN JOURNAL OF EDUCATION AND COMPUTER SCIENCES (CAJECS) 1, no. 4 (2022): 42–46. https://doi.org/10.5281/zenodo.7392931.

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Recently, there has been a surge in the analysis and modeling of mathematical models of reaction-diffusion. Mathematical models of nonlinear reaction-diffusion are described by nonlinear parabolic equations in partial derivatives. Explicit analytical solutions to such nonlinearly coupled systems of partial differential equations rarely exist, and therefore several numerical methods have been used to obtain approximate solutions. In this work, based on self-similar analysis and the method of standard equations, we study the properties of a nonlinear reaction-diffusion with an initial condition.

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43

Paulina Maure, Osniman, and Herlina Tulan. "STUDI KOMPARASI BEBERAPA METODE NUMERIK DALAM MENGAPROKSIMASI AKAR-AKAR PERSAMAAN NON LINEAR." Asimtot : Jurnal Kependidikan Matematika 6, no. 01 (2024): 1–12. https://doi.org/10.30822/asimtot.v6i01.4008.

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Kasus aproksimasi akar dari suatu persamaan nonlinier sering ditemukan di bidang sains dan teknik. Akar-akar persamaan nonlinear tersebut sulit ditentukan secara analitik, sehingga memerlukan pendekatan numerik. Metode numerik yang dapat digunakan dalam kasus aproksimasi akar ini yaitu metode bisection, metode Newton Raphson, dan metode secant. Tujuan penelitian ini yaitu membandingkan tingkat keakuratan dari metode bisection, metode Newton Raphson, dan metode secant dalam mengaproksimasi akar-akar persamaan nonlinear berbentuk polinomial, trigonometri, dan eksponensial. Hasil aproksimasi akar

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Christov, Ivan C., Tyler Kress, and Avadh Saxena. "Peakompactons: Peaked compact nonlinear waves." International Journal of Modern Physics B 31, no. 10 (2017): 1742008. http://dx.doi.org/10.1142/s0217979217420085.

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This paper is meant as an accessible introduction to/tutorial on the analytical construction and numerical simulation of a class of nonstandard solitary waves termed peakompactons. These peaked compactly supported waves arise as solutions to nonlinear evolution equations from a hierarchy of nonlinearly dispersive Korteweg–de Vries-type models. Peakompactons, like the now-well-known compactons and unlike the soliton solutions of the Korteweg–de Vries equation, have finite support, i.e., they are of finite wavelength. However, unlike compactons, peakompactons are also peaked, i.e., a higher spat

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45

Wineman, Alan. "Dimensional changes during shear without normal tractions (the Poynting effect) in nonlinear viscoelastic fiber-reinforced solids." Mathematics and Mechanics of Solids 25, no. 3 (2019): 582–96. http://dx.doi.org/10.1177/1081286519885162.

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When a rectangular block of a nonlinear material is subjected to a simple shearing deformation, specific normal tractions are required to ensure that the distances between the faces of the block, i.e. its dimensions, do not change. This work investigates the time-dependent dimensional changes during shear in the absence of these normal tractions (the Poynting effect) that occur in a block composed of an incompressible nonlinearly viscoelastic fiber-reinforced solid. The material is modeled using the Pipkin–Rogers nonlinear single integral constitutive equation for viscoelasticity. This constit

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46

Park, Dong-Hun, and Seung-O. Park. "Nonlinear Stability Analysis of Boundary Layers by using Nonlinear Parabolized Stabiltiy Equations." Journal of the Korean Society for Aeronautical & Space Sciences 39, no. 9 (2011): 805–15. http://dx.doi.org/10.5139/jksas.2011.39.9.805.

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47

Berik, Pelin, and Peter L. Bishay. "Parameter Identification of the Nonlinear Piezoelectric Shear d15 Coefficient of a Smart Composite Actuator." Actuators 10, no. 7 (2021): 168. http://dx.doi.org/10.3390/act10070168.

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The objective of this work is to characterize the nonlinear dependence of the piezoelectric d15 shear coefficient of a composite actuator on the static electric field and include this effect in finite element (FE) simulations. The Levenberg-Marquardt nonlinear least squares optimization algorithm implemented in MATLAB was applied to acquire the piezoelectric shear coefficient parameters. The nonlinear piezoelectric d15 shear constant of the composite actuator integrated with piezoceramic d15 patches was obtained to be 732 pC/N at 198 V. The experimental benchmark was simulated using a three-di

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48

GUTSCHMIDT, STEFANIE, and ODED GOTTLIEB. "INTERNAL RESONANCES AND BIFURCATIONS OF AN ARRAY BELOW THE FIRST PULL-IN INSTABILITY." International Journal of Bifurcation and Chaos 20, no. 03 (2010): 605–18. http://dx.doi.org/10.1142/s0218127410025910.

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A nonlinear continuum model is used to investigate the dynamic behavior of an array of N nonlinearly coupled microbeams. Investigations concentrate on the region below the array's first pull-in instability, which is shown to be governed by several internal three-to-one and combination resonances. The nonlinear equations of motion for a two-element system are solved using the asymptotic multiple-scales method for the weak nonlinear system. The analytically obtained periodic response of two coupled microbeams is numerically evaluated by a continuation technique and complemented by a numerical an

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SUN, WEIGANG, YUEYING YANG, CHANGPIN LI, and ZENGRONG LIU. "SYNCHRONIZATION INSIDE COMPLEX DYNAMICAL NETWORKS WITH DOUBLE TIME-DELAYS AND NONLINEAR INNER-COUPLING FUNCTIONS." International Journal of Modern Physics B 25, no. 11 (2011): 1531–41. http://dx.doi.org/10.1142/s0217979211100473.

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In this article, synchronization inside complex networks with double time-delays and nonlinear inner-coupling functions are studied. Here double time-delays mean that each node vector field and every coupling node have retard time, while nonlinear inner-coupling functions refer to all the components of every node that are nonlinearly coupled. The theoretical criterion respecting synchronization is derived. And illustrative numerical examples are also given.

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Michels, Robert, Martin Schaarschmidt, and Frank Gronwald. "Experimental Investigation of a Nonlinear Energy Storage Effect due to High Power Electromagnetic Excitation." Advances in Radio Science 18 (December 10, 2020): 75–82. http://dx.doi.org/10.5194/ars-18-75-2020.

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Abstract. The susceptibility of interference victims can significantly be influenced by the presence of nonlinear circuit elements. In addition to the well known occurrence of intermodulation-frequencies, other effects can be observed as well. Recently, a nonlinear energy storage effect has been discovered which is due to the presence of nonlinearly loaded loop antennas if excited by an HPEM-excitation. In this contribution, this effect is further studied by experiment. It is seen that the nonlinear energy storage effect can be reproduced by means of a rather simple experimental setup. This al

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