Design and Optimization of Trapezoidal Steering Mechanism based on Improved Particle Swarm Algorithm by Jianhua Zhai, Laiqi Qiu, Xiaohua Wei, Dongshan Yang

“…The method of solving the optimization model of nonlinear steering mechanism is given， the M-file of Matlab R2018b with improved particle swarm algorithm and solving the nonlinear model is written to analyze the optimization of steering mechanism. …”
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A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders by Young Ik Kim, Young Hee Geum

“…We construct a biparametric family of fourth-order iterative methods to compute multiple roots of nonlinear equations. This method is verified to be optimally convergent. …”
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Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation by Yang Wang, Long Wei

“…In this work, we study the nonlinear self-adjointness and conservation laws for a class of wave equations with a dissipative source. …”
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Analysis of the Electromechanical Coupling Vibration of Belt Drive Mechanism when the Motor Starting by Li Gaofeng

“…Taking the differential equation of the electromechanical coupling and bending and torsion nonlinear vibration of the belt drive mechanism which establishing according to the Lagrange- Maxwell equation as research object,by using the Runge Kutta method,the nonlinear characteristic of the electromechanical coupling system and the vibration characteristic in the state of the motor starting are analyzed,the phase diagram,time response,frequency spectrum and the axis trajectory are obtained. …”
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A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis by Xiaoli Bian, Yuying Qiao

“…This paper deals with a nonlinear boundary value problem for bihypermonogenic functions in Clifford analysis. …”
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The Influence of Buckling Mode and Buckling Stability Coefficient of Rigid-Frame Bridge during Construction in Cold Region by Jiangjiang Li, Xuanyu Zhang, Xiandong Wang

“…The stability safety factor of the geometric nonlinear stability analysis method constructed is 0.3% and 1.27% lower than the ideal state, respectively. …”
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Growth Rates of  Morphometric Variables in Approximately Linear Sections Using Lines in R3 by Aquiles E. Darghan, Enrique Quevedo García, Sergio Esteban Gamboa Muñoz, Carlos Armando Rivera Moreno

“…The calculation of approximate rates in nonlinear models may be inappropriate due to aspects related to the phrase known as the “average fallacy.” …”
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Stabilization Using a Discrete Fuzzy PDC Control with PID Controllers and Pole Placement: Application to an Experimental Greenhouse by Amine Chouchaine, Elyes Feki, Abdelkader Mami

“…This paper proposes a control strategy for complex and nonlinear systems, based on a parallel distributed compensation (PDC) controller. …”
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High-Accuracy Surface Profile Measurement Based on the Vortex Phase-Shifting Interferometry by Donge Zhao, Chaozheng Jia, Yayun Ma, Xuefeng Yang, Bin Zhang, Wenbo Chu

“…The results show that nonlinear phase modulation has a great impact on the measurement. …”
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A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation by Tonny Rubæk, Paul M. Meaney, Keith D. Paulsen

“…The contrast source inversion (CSI) algorithm was introduced for microwave imaging in 1997 and has since proven to be one of the most successful algorithms for nonlinear microwave tomography. In the CSI algorithm, the nonlinear integral equation, which must be solved to extract the constitutive electromagnetic parameters of the object under test from the microwave measurements, is represented by two linear equations, known as the data and the object equations. …”
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Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity by Jyotirmay Das Mandal, Ujjal Debnath

“…The resulting autonomous system is nonlinear. So, we have applied the theory of nonlinear dynamical system. …”
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Theoretical Framework for Creep Effect Analysis of Axially Loaded Short CFST Columns under High Stress Levels by Shiwei Li, Yongqing Yang, Wangqing Wen, Aiguo Yan

“…In this study, to analyze the impacts of nonlinear creep effect on the behaviour of axially loaded short CFST columns, a complete theoretical framework for coupling analysis of 3D creep effect and material nonlinearity was presented. …”
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Multi-Objective Optimization of Injection Parameters and Energy Consumption Based on ANN-Differential Evolution by Devic Oktora, Yu-Hung Ting, Sukoyo

“…Injection molding (IM) is one complex manufacturing process characterized by nonlinear behavior. Unlike classic linear modeling techniques like simple regression, many machine learning (ML) models have the ability to adjust to the nonlinear behaviors and interactions between input and output parameters. …”
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Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory by Huafeng Tian

“…For this purpose, Kirchhoff's nonlinear plate model will be used in conjunction with the modified couple stress theory (MCST). …”
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Seismic Performance of Midstory Isolated Structures under Near-Field Pulse-Like Ground Motion and Limiting Deformation of Isolation Layers by Guiyun Yan, Fuquan Chen

“…The objective of the present research is to limit excessive deformation of the isolation layer and to reduce nonlinear response of midstory isolated structures. …”
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Developing Seismic Risk Prediction Functions for Structures by Naveed Ahmad, Qaisar Ali, Muhammad Adil, Akhtar Naeem Khan

“…The paper presents the development of a nonlinear static displacement-based methodology for seismic risk assessment and loss estimation of stone masonry building stock of Pakistan. …”
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Model-Based Control with Active Disturbance Rejection Algorithm for a Diesel Engine by Shun-Liang Ding, Shuai-Feng He, Bi-Qing Tu, Jin-Jin Liu, Yu-Yuan Wang, En-Zhe Song

“…To improve the speed control performance of a diesel engine, the active disturbance rejection controller (ADRC) is designed by adding an arranging transition process to the traditional PID controller, extracting differential signals reasonably, and adopting nonlinear combination process to error signals. The ADRC is composed of a tracking differentiator (TD), an extended state observer (ESO), and a nonlinear state error feedback (NLSEF). …”
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Vortex-Induced Vibration of a Cable-Stayed Bridge by M. T. Song, D. Q. Cao, W. D. Zhu

“…There are different limit cycles in the case of neglecting the geometric nonlinear terms, and there are only one limit cycle and chaotic responses in the case of considering the geometric nonlinear terms.…”
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Sliding Mode Controller-Based BFCL for Fault Ride-Through Performance Enhancement of DFIG-Based Wind Turbines by Mehdi Firouzi, Mojtaba Nasiri, Saleh Mobayen, G. B. Gharehpetian

“…This paper proposes a nonlinear sliding mode controller (SMC) for the BFCL to enhance the FRT performance of the DFIG-based WT. …”
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Some results on stability of difference systems by Xiao-Song Yang, Ping Zhou

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