CLUNK PHENOMENA ANALYSIS OF AUTOMOBILE TRANSMISSION SYSTEM BASED ON TORQUE ABRUPT CONDITION by ZHANG ZhiGang, PENG YuanPing, YU XiaoXia, ZHANG Yun

“…Through the analysis of the transmission mechanism of the vehicle transmission system,the torsional vibration model of the 12-DOF multi-gap nonlinear powertrain system was established,and the transient shock response characteristics under various working conditions were studied. …”
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Design of Optimal Proportional Integral Derivative Based Power System Stabilizer Using Bat Algorithm by Dhanesh K. Sambariya, Rajendra Prasad

“…The design of proposed PID controller is considered with an objective function based on square error minimization to enhance the small signal stability of nonlinear power system for a wide range of operating conditions. …”
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Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons by Janarthanan Ramadoss, Sajedeh Aghababaei, Fatemeh Parastesh, Karthikeyan Rajagopal, Sajad Jafari, Iqtadar Hussain

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Application of NARX in Seepage Prediction of Earth-Rockfill Dams by ZHAO Pu, GU Yanchang, WU Yunxing

“…Seepage monitoring is an important means to master the safety state of a dam.As the seepage pressure of earth-rockfill dams lags behind the reservoir water level,a nonlinear auto-regressive neural network with exogenous inputs (NARX),a network characterized by delayed input,is introduced to effectively predict the seepage pressure of the dams.In the case of a reservoir dam,with the influencing factors such as the reservoir water level and rainfall in a certain period of history as the input sequence and the measured value of seepage pressure as the output sequence,the multi-factor and single-factor models of the NARX network are built separately for fitting training and multi-step prediction.Then,the prediction results are compared with those of the traditional regression model and the traditional BP neural network.The results reveal that the NARX model outperforms the two traditional models under the three accuracy indexes of RMSE,MAE,and MAPE.Moreover,the NARX model still has good performance under the condition of a single factor.The delayed input characteristic of the NARX network can simulate the hysteresis of dam seepage to a certain extent,and the network has a good application effect for seepage pressure prediction of earth-rockfill dams.…”
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Development of a Multi-DOF Electromyography Prosthetic System Using the Adaptive Joint Mechanism by A. Hernandez Arieta, R. Katoh, H. Yokoi, Y. Wenwei

“…For the discrimination of many patterns and nonlinear properties of the EMG signal, we propose a controller based on a simple pattern recognition information process. …”
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A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations by Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa

“…A family of derivative-free methods of seventh-order convergence for solving nonlinear equations is suggested. In the proposed methods, several linear combinations of divided differences are used in order to get a good estimation of the derivative of the given function at the different steps of the iteration. …”
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Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density by Irina Radinschi, Theophanes Grammenos, Farook Rahaman, Andromahi Spanou, Marius Mihai Cazacu, Surajit Chattopadhyay, Antonio Pasqua

“…This black hole solution was recently developed in the context of the coupled Einstein–nonlinear electrodynamics of the Born-Infeld type. …”
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Fatigue life estimation in welded joints under multiaxial loadings by Sabrina Vantadori, Andrea Spagnoli, Andrea Carpinteri

“…In more detail, fatigue life of welded joints under multiaxial stress states can be evaluated by considering a nonlinear combination of the shear stress amplitude (acting on the critical plane) and the amplitude and the mean value of the normal stress (acting on the critical plane). …”
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Solvation Effects on the Static and Dynamic First-Order Electronic and Vibrational Hyperpolarizabilities of Uracil: A Polarized Continuum Model Investigation by Andrea Alparone

“…Frequency-dependent βe values were computed for the Second Harmonic Generation (SHG) and Electric Optical Pockels Effect (EOPE) nonlinear optical phenomena. The Polarized Continuum Model was employed to study the solvent effects on the electronic and vibrational properties. …”
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On viable therapy strategy for a mathematical spatial cancer model describing the dynamics of malignant and healthy cells by Alexander S. Bratus, Svetlana Yu. Kovalenko, Elena Fimmel

“…The mathematical model considered consists of three nonlinear parabolic partial differential equations which describe spatial dynamics of malignant cells as well as healthy ones, and of the concentration of the drug. …”
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The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System by R. H. Huan, W. Q. Zhu, F. Ma, Z. H. Liu

“…A single-degree-of-freedom model of the pantograph-catenary system is adopted, wherein the stiffness of the nonlinear spring has a time-varying component characterized by both low and high frequencies. …”
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Dynamic Parameter Identification And Control of Legged Robots’ Legs Considering Joint Friction Characteristics by Xiao Haoyang, Qian Letian, Luo Xin

“…The presence of transmission friction has a strong nonlinear influence on the joint control. In this study, a segmented fitting model of joint friction is built based on the measured friction characteristics of joints under low-speed motion conditions, the joint friction and dynamic parameters of single leg of legged robots are identified. …”
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Two-Dimensional Ferroelectric Materials: From Prediction to Applications by Shujuan Jiang, Yongwei Wang, Guangping Zheng

“…Based on the work discussed in this review, we look ahead to theoretical prediction for 2D ferroelectric materials and their potential applications, such as the application in nonlinear optics. The progress in theoretical and experimental research could lead to the discovery and design of next-generation nanoelectronic and optoelectronic devices, facilitating the applications of 2D ferroelectric materials in emerging advanced technologies.…”
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STUDY ON THE CORRELATION BETWEEN STIFFNESS AND HARDNESS OF RUBBER PARTS BASED ON MOONEY-RIVLIN MODEL (MT) by WANG YuanShao, NIE ZiHao

“…The stiffness of the rectangular rubber spring pad increases nonlinearly with the increase of deformation, which Abaqus calculated. …”
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Joint channel and impulsive noise estimation method based on approximate message passing for NOMA systems by LI Youming, MA Chongya, WU Yonghong, GUO Qiang

“…To address this hyperparameter nonlinear non-convex problem, an expectation maximization (EM) implementation algorithm based on Gaussian generalized approximation message passing and sparse Bayesian learning (SBL) theory was designed. …”
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The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid by S. M. Khaled, Abdelhalim Ebaid, Fahd Al Mutairi

“…The mathematical model is governed by a system of linear and nonlinear partial differential equations with prescribed boundary conditions. …”
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Peano Theorems for Pedjeu–Ladde-Type Multi-Time Scale Stochastic Differential Equations Driven by Fractional Noises by Arcady Ponosov, Lev Idels

“…To encompass all commonly used particular classes of fractional multi-time scale stochastic models, including those with random delays and impulses at random times, we consider equations with nonlinear random Volterra operators rather than functions. …”
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Optimum Design Research on the Link Mechanism of the JP72 Lifting Jet Fire Truck Boom System by Guo Tong, Wang Jiawen, Liang Yingnan, Peng Buyu, Liu Tao, Liu Yiqun

“…The fmincon function was used to realize the sequential quadratic programming (SQP) algorithm, which is one of the most effective methods to solve the constrained nonlinear optimization problems, for the optimal design. …”
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Optimal Portfolio Selection of Mean-Variance Utility with Stochastic Interest Rate by Shuang Li, Shican Liu, Yanli Zhou, Yonghong Wu, Xiangyu Ge

“…By solving the corresponding nonlinear partial differential equations (PDEs) deduced from the extended HJB equation, the analytical solutions of the optimal investment strategies under time inconsistency are derived. …”
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Suppression of MRI Truncation Artifacts Using Total Variation Constrained Data Extrapolation by Kai Tobias Block, Martin Uecker, Jens Frahm

“…The assumption translates into a total variation minimization problem, which can be solved with a nonlinear optimization algorithm. In the presence of substantial noise, a modified approach offers edge-preserving denoising by allowing for slight deviations from the measured data in addition to supplementing data. …”
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