PARAMETER STABILITY AND VIBRATION CHARACTERISTICS ANALYSIS OF GEAR TRANSMISSION SYSTEM by WAN ZhiGuo, LI SuoBin, DOU YiHua, ZHANG MingQuan

“…The results show that the system may generate parametric resonance when the frequency of parameter excitation is equal to 2/n of the free vibration period of the derived system;The gear backlash leads to multi-value properties and amplitude jump phenomena; The nonlinear vibration response of the system will be decreased with the increasing of the external excitation amplitude, damping ratio and the decreasing of the internal excitation amplitude.…”
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Robust Finite-Time Tracking Control Based on Disturbance Observer for an Uncertain Quadrotor under External Disturbances by Hamid Hassani, Anass Mansouri, Ali Ahaitouf

“…A novel supertwisting nonsingular terminal sliding mode control (STNTSMC) has been developed to ensure that the tracking errors vanish in a short finite-time. A nonlinear disturbance observer (DO) is incorporated into the control system to estimate the unknown external perturbations and to strengthen the system’s robustness. …”
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Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application by Mustafa Mudhesh, Hasanen A. Hammad, Habes Alsamir, Muhammad Arshad, Eskandar Ameer

“…Ultimately, our theoretical result has been implicated to study the existence and uniqueness of the solution to a nonlinear integral equation (NIE).…”
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Low complexity hybrid precoding algorithm for massive MIMO based on modified Newton method by Bo HU, Anding WANG, Guiyi WEI

“…A phase tracking algorithm was proposed for massivemultiple-input multiple-output(MIMO) systems based on the modified Newton (MN) method, which effectively reduced the high computational complexity in traditional high-performance hybrid precoding schemes.The algorithm optimized the analog precoding matrix from the perspective ofsub-dimensional vector recovery.In each sub-dimension optimization, the phase tracking method was used to transform the recovery of the analog precoding vectors into an unconstrained nonlinear optimization problem, which was then solved using the MN method.Concurrently, this strategy led to a marked reduction in the computational intricacy pertaining to both the computation of correction factors and the inversion of the Hessian matrix within the framework of the MN method.This was achieved through the insightful incorporation of Gerschgorin’s Disk theorem and the Hermitian matrix block-inverse lemma.Simulation results show that the proposed algorithm has higher spectral efficiency and lower computational complexity than several conventional high-performance hybrid precoding schemes.…”
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Adaptive Output Tracking of Driven Oscillators by Lili Diao, Martin Guay

“…The problem of controlling the heart dynamics in a real-time manner is formulated as an adaptive learning output-tracking problem. For a class of nonlinear dynamic systems with unknown nonlinearities and nonaffine control input, a Lyapunov-based technique is used to develop a control law. …”
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Characteristic Analysis of the Stick-Slip Vibration of Gear Transmission System in High-speed Train by Li Fuzhong, Huang Guanhua, He Hongyun

“…In order to study the torsional vibration of gear transmission system under slippage in high-speed train.A parametric vibration model of the gear transmission system is developed when the time-varying stiffness and the transmission error are considered.The nonlinear characteristic of selfexcited torsional vibration caused by wheel-rail creepage is analyzed.Numerical simulation results show that the time-varying mesh stiffness of meshing teeth pairs is the main cause of harmonic vibration of gear transmission system,when the wheel-rail creepage is over the best value,the self-excited vibration occurred and gear transmission system have the phenomenon of limited cycle in the same time,the self-excited vibration has no effect on the change of main frequency of the gear transmission system,but the harmonic response become more obvious,cause a strong vibration on the gear transmission system.…”
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Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices by Liang Qiao, Zhaomin Lv

“…When differential term matrices are allowed to be distinct in fuzzy rules, such fuzzy models can describe a wide class of nonlinear stochastic systems. Using fuzzy Lyapunov function (FLF), a new and relaxed sufficient condition is proposed via strict linear matrix inequalities (LMIs). …”
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Self-organization through decoupling by Romar Correa

“…Formally, a conditionally stable nonlinear system of differential equations is examined. …”
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Bayesian Pulsar Timing and Noise Analysis with Vela.jl: An Overview by Abhimanyu Susobhanan

“…Vela.jl provides an independent, efficient, and parallelized implementation of the full nonlinear pulsar timing and noise model along with a Python binding named pyvela . …”
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Research of Hybrid Hysteresis Modeling of Harmonic Reducer based on SDH Model and Neural Network in Series by Xuanju Dang, Kaili Wang, Hui Jiang, Xiru Wu, Xiangwen Zhang, Shijie Tang

“…A hybrid hysteresis model consisting of SDH model and neural network in series is constructed for the special nonlinear hysteresis characteristics of the harmonic reducer in the flexible link. …”
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A Coupled Discrete-Finite Element Method for Shear Strength Analysis of Geogrid-Reinforced Railway Ballast by Danyang Ji, Zheng Ma, Junjie Zhou, Yajun Li, Shuai Shao

“…Irregularly shaped ballast particles are modeled with clumps, and the nonlinear contact force model is used to calculate contact force between particles. …”
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The Comprehensive Study of Electrical Faults in PV Arrays by M. Sabbaghpur Arani, M. A. Hejazi

“…Due to the current-limiting nature and nonlinear output characteristics of PV arrays, faults in PV arrays may not be detected. …”
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Optimization on Production-Inventory Problem with Multistage and Varying Demand by Duan Gang, Chen Li, Li Yin-Zhen, Song Jie-Yan, Akhtar Tanweer

“…This paper addresses production-inventory problem for the manufacturer by explicitly taking into account multistage and varying demand. A nonlinear hybrid integer constrained optimization is modeled to minimize the total cost including setup cost and holding cost in the planning horizon. …”
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More on the Non-Gaussianity of Perturbations in a Nonminimal Inflationary Model by R. Shojaee, K. Nozari, F. Darabi

“…We study nonlinear cosmological perturbations and their possible non-Gaussian character in an extended nonminimal inflation where gravity is coupled nonminimally to both the scalar field and its derivatives. …”
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SIZE EFFECT ON THE STATIC PULL-IN INSTABILITY OF THE ELECT ROSTATICALLY ACTUATED CANTILEVER MICRO-BEAMS by LU Fei, KONG ShengLi, YUAN YanQi

“…The static pull-in instability of the electrostatically actuated cantilever micro-beams incorporating Casimir force was investigated based on the modified couple stress theory. The nonlinear governing equation and boundary conditions were derived using the principle of minimum total potential energy. …”
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Monotone-Iterative Method for the Initial Value Problem with Initial Time Difference for Differential Equations with “Maxima” by S. Hristova, A. Golev

“…An improved algorithm of the monotone-iterative technique is suggested to nonlinear differential equations with “maxima.” The case when upper and lower solutions of the given problem are known at different initial time is studied. …”
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Possibilities for Advanced Encoding Techniques at Signal Transmission in the Optical Transmission Medium by Filip Čertík, Rastislav Róka

“…An attention is focused on the high data rate signal transmission in the optical fiber influenced by linear and nonlinear environmental effects presented by the prepared simulation model. …”
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FINITE ELEMENT ANALYSIS OF CYCLIC PROPERTY AND FATIGUE LIFE PREDICTION FOR 316L STAINLESS STEEL by TAN JingYing, LI JiangHua, SHAO Ning, JIN Dan

“…The mixing model combined with the nonlinear kinematic hardening and the isotropic hardening is used to describe the elastic and plastic behavior. …”
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Coiflet Wavelet-Homotopy Solution of Channel Flow due to Orthogonally Moving Porous Walls Governed by the Navier–Stokes Equations by Qing-Bo Chen, Hang Xu

“…A newly computational method based on the Coiflet wavelet and homotopy analysis method is developed, which inherits the great nonlinear treatment of the homotopy analysis technique and the local high-precision capability of the wavelet approach, to give solutions to the classic problem of channel flow with moving walls. …”
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Research of the Fault Feature Extraction of the Transmission Weak Abnormal Sound based on the Sample Entropy by Wu Chao, Sun Huer, Liang Xiaohua

“…Aiming at the weak abnormal sound of the new transmission products in the specific speed range of gear,the nonlinear of the dynamic parameter sample entropy is used to extract the operating characteristics of the transmission under different gears. …”
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