INFLUENCE OF TRANSVERSE ROUGH TEXTURE TO LUBRICATION CHARACTERISTICS OF ROLLING BEARING by LU YaDi, Qi XiuMei, GAO ChuangKuan

“…With the help of the Fourier nonlinear approximation the measured data was used to form a roughness function which was superimposed to film thickness equation and a mixed thermal elastohydrodynamic lubrication model for the rolling bearing was then established. …”
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Analysis of Various Damping Models in The Simulation of the Seismic Response of Structures in the STARK ES Software by V. N. Simbirkin, Yu. V. Panasenko, V. V. Kurnavin

“…These are the models of nonlinear viscous dampers, in which the reactive force depends non-linearly on the velocity of the rod movement, equivalent (for an energy dissipated) linear-viscous dampers and equivalent (for a maximum force and an energy dissipated) elastic – perfectly plastic elements. …”
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Coupled bidirectional flow for adaptive image interpolation by FU Shu-jun 1, RUAN Qiu-qi 2, MU Cheng-po 3, WANG Wen-qia 1

“…An adaptive coupled bidirectional flow process was presenfed,where an inverse diffusion was performed to enhance edges along the normal directions to the isophote lines（edges）,while a normal diffusion was done to remove ar-tifacts（“jaggies”） along the tangent directions.The two converse diffusion forces were splitted into a coupled form to stop the cancellation between each other.In order to preserve image features,the nonlinear diffusion coefficients were locally adjusted according to the directional derivatives of the image.And then the above process was applied to image interpolation.Experimental results demonstrate that our interpolation algorithm substantially improves the subjective quality of the interpolated images over conventional interpolations and relative equations.…”
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A Memory-Based Hysteresis Model in Piezoelectric Actuators by Guilin Zhang, Chengjin Zhang, Jason Gu

“…Therefore, two, dominant curves are determined and expressed as continuous functions, and the other hysteresis curves are modeled using two dominant curves through nonlinear transforming of coordinate axis. In the event of memory saturation, a new converging point is used to compensate the model prediction error. …”
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Optimal Control for a Parallel Hybrid Hydraulic Excavator Using Particle Swarm Optimization by Dong-yun Wang, Chen Guan

“…Then, the optimal control problem is addressed, and PSO algorithm is introduced to deal with this nonlinear optimal problem which contains lots of inequality/equality constraints. …”
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Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity by M. B. K. Moorthy, K. Senthilvadivu

“…The governing equations of continuity, momentum, energy, and concentrations are transformed into nonlinear ordinary differential equations, using similarity transformations, and then solved by using Runge-Kutta-Gill method along with shooting technique. …”
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Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations by Sohrab Bazm, Fatemeh Pahlevani

“…This approach transforms the integral equation into a set of nonlinear algebraic equations, which can be efficiently solved by employing standard numerical methods like Newton's method or Picard iteration. …”
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Implementation of a Fuzzy TSK Controller for a Flexible Joint Robot by M. E. Akbari, M. A. Badamchizadeh, M. A. Poor

“…The flexibility of joint is performed by means of a solenoid nonlinear spring, which is connected between actuator output and joint input in a bilateral connection form to transfer the produced torque; also the smooth model of frictions is used for modeling the dynamics of flexible manipulator. …”
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Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators by Gerold Baier, Sven Sahle

“…We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. …”
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An Optimal Operating Strategy for Battery Life Cycle Costs in Electric Vehicles by Yinghua Han, Jinkuan Wang, Qiang Zhao, Peng Han

“…Under the assumptions, the proposed operating strategy for battery is formulated as a nonlinear optimization problem considering reliability and failure number. …”
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In Search of Chaos and Complexity of a Cognitive Language-Learning System by Gaofei Luo, Sayan Mukherjee

“…The whole analysis can be effective to understand the dynamical features and nonlinear structure of the cognitive language-learning model.…”
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Research of the Brake Noise Prediction of Wet Brake based on Complex Mode Finite Element Method by Luo Tianhong, Cui Tingqiong, Lu Shiqiu, Li Deshan

“…Aiming at the problem of the vibration noise in the braking process of wet multi- disc brake,the damping and stiffness between the brake disc friction plate and the steel disk are introduced based on the consideration of the small relative displacement of the brake disc and the friction lining due to time delay,otherwise,the contact friction relations of braking component and their effect also take into consideration. By using the nonlinear contact kinematics,the analysis model of the wet brake noise is proposed and the accuracy of this model is verified by using the complex modal finite element simulation analysis. …”
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Optimal Maneuver Strategy of Observer for Bearing-Only Tracking in Threat Environment by Renke He, Shuxin Chen, Hao Wu, Zhuowei Liu, Jianhua Chen

“…The optimal maneuver of observer for bearing-only tracking (BOT) in a threat environment is a complex problem which involves nonlinear filtering, threat avoidance, and optimal maneuver strategy. …”
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Research of Grinding Surface Roughness of Face Gear based on Analysis of Orthogonal Experiment by Liu Jinhua, Ming Xingzu, Gao Qin

“…The regression model of grinding wheel speed,feed rate and grinding depth is established by using multivariate nonlinear regression analysis method. The effect status of grinding wheel speed,feed speed and grinding depth on the face gear roughness are analyzed. …”
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Multiple Slip Effects on MHD Unsteady Flow Heat and Mass Transfer Impinging on Permeable Stretching Sheet with Radiation by Fazle Mabood, Stanford Shateyi

“…Suitable similarity variables are used to transform governing partial differential equations into a system of coupled nonlinear ordinary differential equations. The transformed equations are then solved numerically by applying an implicit finite difference method with quasi-linearization technique. …”
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A New Legendre Spectral Galerkin and Pseudo-Spectral Approximations for Fractional Initial Value Problems by A. H. Bhrawy, M. A. Alghamdi

“…A new spectral collocation approximation based on the Gauss-Lobatto quadrature nodes of shifted Legendre polynomials is investigated for solving the nonlinear multiterm FDEs. The main advantage of this approximation is that the solution is expanding by a truncated series of Legendre-Galerkin basis functions. …”
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A Robust Control for an Aerial Robot Quadrotor under Wind Gusts by Li Ding, Zhenwei Wang

“…A robust flight controller based on linear active disturbance rejection control (LADRC) is proposed for stability control of an aerial robot quadrotor under wind gusts. The nonlinear dynamical model of the quadrotor, considering the wind disturbance, is firstly established through Newton-Euler method. …”
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The Time-Fractional Coupled-Korteweg-de-Vries Equations by Abdon Atangana, Aydin Secer

“…We put into practice a relatively new analytical technique, the homotopy decomposition method, for solving the nonlinear fractional coupled-Korteweg-de-Vries equations. …”
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Investigations on Growth, Optical and Thermal Properties of Sulphamic Acid Single Crystals by D. Jaishree, G. Kanchana, R. Kesavasamy

“…The thermal behaviour of the crystal was studied by thermogravimetric (TG) and differential scanning calorimetric (DSC) studies. The nonlinear optical (NLO) characteristic of this material was explored by the second harmonic generation (SHG) conversion efficiency.…”
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Multiphoton emission of x-rays from cooperative resonant nuclei by Xiangjin Kong, Yue Chang, Lida Zhang, Jianmin Yuan, Yu-Gang Ma

“…Our work presents an efficient approach to investigating the multiphoton emission of x-rays from cooperative resonant nuclei within and beyond weak-excitation regimes, offering valuable insights into nonlinear x-ray optics and many-body nuclear physics.…”
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