Study on the Fatigue Performance Test and Contact Strength of Automatic Transmission Gear with Coating by Chen Yong, Zhou Huidong, Zang Libin, Fu Lingling, Li Jinkai, Bi Wangyang

“…Lastly， an analysis model of contact strength on rough surface is established based on nonlinear elastic-plastic contact theory of gear. The effect of antifriction coating on improving the contact fatigue strength of gear is obtained. …”
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Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model by Miaolei Zhou, Jingyuan Wang

“…The paper used the polynomial function to approach the piecewise continuous function and f(v) and g(v) in the Duhem model, adopted recursive least squares algorithm and gradient correction algorithm to identify parameter α, polynomial coefficients of f and g in the Duhem model, and established the nonlinear parametric model of the piezoceramic actuator. …”
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ANN-Enhanced Energy Reference Models for Industrial Buildings: Multinational Company Case Study by Younes Ouaomar, Said Benkechcha, Mourad Kaddiri

“…It demonstrates that combining nonlinear regression with neural network modeling enhances predictive accuracy while maintaining the inherent simplicity of ANNs. …”
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Elementi di interfaccia per l’analisi di strutture murarie by Elio Sacco, Jessica Toti

“…Some numerical applications are performed in order to assess the performances of the proposed model and algorithm in reproducing the nonlinear response of masonry material due to damage localization. …”
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OPTIMAL ANALYSIS OF THE SHOULDER END STRUCTURE OF SPRING CLIP-Ⅲ FASTENINGS IN METRO LINES by ZHANG ShuFeng, WEN ZeFeng, SHANG HongXia, JIN XueSong

“…Based on the nonlinear contact theory,a finite element model of spring clip-III fastening system used in metro lines is established. …”
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Investigation of Aerodynamic Characteristics of Aircrafts in a Rarefied Gas Flow Using the Moment Method by Auzhan Sakabekov, Saltanat Madaliyeva, Ryskul Yergazina

“…A one-dimensional nonstationary nonlinear moment system of equations and an approximation of Maxwell’s microscopic boundary condition will be introduced. …”
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Generalized Kudryashov Method for Time-Fractional Differential Equations by Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut

“…These time-fractional equations can be turned into another nonlinear ordinary differantial equation by travelling wave transformation. …”
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Strong Convergence Theorems for Quasi-Bregman Nonexpansive Mappings in Reflexive Banach Spaces by Mohammed Ali Alghamdi, Naseer Shahzad, Habtu Zegeye

“…Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.…”
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Research on Articulated Robot Control Based on High-order Internal Model Iterative Learning by Zhou Qinyuan, Hu Xianzhe

“…In view of the non-repetitive and nonlinear characteristics of the articulated robot system, it is proposed that a high-order internal model iterative learning control algorithm can be applied to the control of the articulated robot system. …”
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Kinematics Modeling and Analysis of a Quadruped Bionic Horse Robot Driven by a Cam-link Mechanism by Xu Yang, Ruolan Wang, Liangwen Wang, Liwei Li, Tuanhui Wang

“…The kinematics equations of each mechanism are established by loop vector method， and Newton iteration method is used to solve the nonlinear displacement equations. The Matlab is used to develop a unified program to solve the displacement， velocity and acceleration of the moving leg of the robot. …”
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Optimization Design of the New Type Double Helical Tooth Synchronous Belt and Pulley Structure Parameter by Guo Jianhua, Shao Yue, Hu Qingming, Li Dongsheng, Jiang Hongyuan

“…Based on higher order contact meshing theory of conjugate curvature,a three-dimensional model of the new type double helical tooth synchronous belt and the belt drive are established. The nonlinear finite element analysis software is used to analyze the stress and deformation of the new type double helical tooth synchronous belt and the pulley. …”
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On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications by S. Amat, C. Bermúdez, S. Busquier, M. J. Legaz, S. Plaza

“…This paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces. An analysis of the convergence under Kantorovich-type conditions is proposed. …”
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Investigation of a spatial double pendulum: an engineering approach by S. Bendersky, B. Sandler

“…Matlab computer programs were used for solving the nonlinear differential equations by the Runge-Kutta method. …”
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Application of Daftardar Jafari Method to First Grade MHD Squeezing Fluid Flow in a Porous Medium with Slip Boundary Condition by Inayat Ullah, M. T. Rahim, Hamid Khan

“…The governing equations are transformed to a single nonlinear boundary value problem. Daftardar Jafari Method (DJM) is used to solve the problem in order to obtain the velocity profile of the fluid. …”
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The Dynamical Behavior of a Rigid Body Relative Equilibrium Position by T. S. Amer

“…The governing equations of motion are obtained using Lagrange’s equations and represent a nonlinear system of second-order differential equations that can be solved in terms of generalized coordinates. …”
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Data-Driven Approximated Optimal Control for Chemical Processes with State and Input Constraints by Mingfang He

“…The feasibility and performance of the proposed approach are tested using two nonlinear cases including a continuous stirred-tank reactor (CSTR) example.…”
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An Iterative Technique for the Synthesis of Active Antenna Oscillator Arrays by Theodoros N. Kaifas, John N. Sahalos

“…The resulting arrays are shown to comply with the desired pattern and the nonlinear dynamics thus proving the validity of our method.…”
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Ownership Concentration and other Determinants of Covenants in Debt Contracts of Brazilian Publicly Listed Firms by Tatiana Albanez, Rafael Felipe Schiozer

“…For this purpose, we manually analyzed more than 4,000 explanatory notes for the firms’ financial statements regarding loans and financing and then applied linear and nonlinear regression models. We found that greater ownership concentration is associated with higher likelihood of the presence of covenants, corroborating the role of the ownership structure as a substitute governance mechanism that allows for aligning interests and reduces the need for using covenants. …”
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Fault Diagnosis of Wind-turbine Gearboxes based on Fourier Decomposition Method by Lin Jinshan, Dou Chunhong, Zhao Guangsheng, Yin Jianhua

“…The Fourier decomposition method （FDM） is a novel method for processing non-stationary and nonlinear signals. With a firm theoretical basis,FDM has the capability for overcoming deficiencies of EMD. …”
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Research on RNN and LSTM Method for Dynamic Prediction of Landslide Displacement by ZHANG Mingyue, LI Limin, WEN Zongzhou

“…Good landslide displacement prediction is an important part of the landslide disaster warning.Limited by the nonlinear dynamic characteristics of landslide displacement evolution,historical data is generally missing in traditional prediction methods,resulting in low prediction accuracy.To this end,this paper proposes a deep learning method for landslide displacement prediction to establish two dynamic displacement prediction models of recurrent neural network (RNN) and long short term memory network (LSTM) for comparison,and selects the displacement changes of multiple monitoring points for dynamic prediction by the method of “circulation training”,taking the Xintan landslide project as an example.The results show that when the error function meets the expected accuracy,the LSTM model has higher prediction accuracy.In addition,various evaluation indicators also show that the overall prediction effect of the LSTM model is better.…”
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