Dynamics Analysis of Helical Gear with Time-varying Stiffness and Tooth Pitch Error by Zhang Liu, Wu Xuncheng, Xu Junjian, Zhang Juecheng, Zhang Yanjie

“…Combining with the internal incentives,such as the tooth pitch error,the shaft coupling nonlinear dynamics model of helical gear pair bending and twisting is established. …”
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Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model by Kang-Jia Wang, Feng Shi, Guo-Dong Wang

“…In this paper, we aim to investigate the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation that is used to describe the nonlinear dynamics of magnets. Two recent effective technologies, namely, the variational method and subequation method, are employed to construct the abundant soliton solutions. …”
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Dynamic Meshing Characteristic Analysis of Wind Power Planetary Gear Train by Yang Haiwan, Mutellip Ahmat, Zhao Yang

“…The dynamic meshing study is essential for the wind turbine which works in a harsh condition,especially,the gear train will be destructed by the time-varying load.Taking a wind turbine helical planetary gear train as study object,considering the influence of a variety of clearance and friction on meshing,a FEM model is built.By using the nonlinear dynamics method,the variation law of the gear tooth root bending stresses in the processing of the planet gear meshing with the sun gear or the internal gear is studied,the influence of the rotating speed on the meshing impact stresses is analyzed.Though the analyzing,with the speed increasing,the meshing stresses curve could get ahead,the impact stress of gear box and drive shaft will increase,while the curve of the impact stress are overall forward.However,the impact stress can’t always increase with the impact speed increasing.…”
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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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STOCHASTIC BIFURCATION OF A CURRENT CARRYING THIN RECTANGULAR PLATE IN A MAGNETIC FIELD by WANG Ping, WEI Xing, WANG ZhiRen

“…It was simplified as a nonlinear dynamics differential equation by using Galerkin variation method. …”
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The impact of immune cell interactions on virus quasi-species formation by Ali Moussaoui, Vitaly Volpert

“…Numerical simulations were employed to elucidate the nonlinear dynamics and pattern formation inherent in the nonlocal model.…”
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Universality and scaling in networks of period-doubling maps with a pacemaker by Anna S. Ivanova, Sergey P. Kuznetsov, Andrew H. Osbaldestin

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Research of Curve Passing Performance of Track Car in Vehicle Group Chain Conveyor based on SIMPACK by Yang Li, Yaocheng Zhang, Zhaojian Yang, Xianglei Li

“…Curve passing performance at curve working conditions is studied. A nonlinear dynamics model of the conveyor track group passing the curve is established and analyzed. …”
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Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition by Qiansheng Tang, Chaofeng Li, Bangchun Wen

“…The effects of external loads, supported clearance, and support stiffness on nonlinear dynamics behaviors of cylindrical shell with nonlinear boundary condition were discussed.…”
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Neural Network-Based Nonlinear Fixed-Time Adaptive Practical Tracking Control for Quadrotor Unmanned Aerial Vehicles by Jianhua Zhang, Yang Li, Wenbo Fei

“…This brief addresses the position and attitude tracking fixed-time practical control for quadrotor unmanned aerial vehicles (UAVs) subject to nonlinear dynamics. First, by combining the radial basis function neural networks (NNs) with virtual parameter estimating algorithms, a NN adaptive control scheme is developed for UAVs. …”
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Fixed-Time Trajectory Tracking Control of Autonomous Surface Vehicle with Model Uncertainties and Disturbances by Jiawen Cui, Haibin Sun

“…By combining the FTDO and ISMC techniques, a new control scheme (FTDO-ISMC) is developed, which can achieve both disturbance compensation and chattering-free condition. (3) Aiming at reconstructing the unknown nonlinear dynamics and external disturbances, a fixed-time unknown observer (FTUO) is proposed, thus providing the FTUO-ISMC scheme that finally achieves trajectory tracking of ASVs with unknown parameters. …”
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Vibration Characteristic Analysis of Spur Gear System with Coupled Damage by Li Xike Wang Jian Chen Tao Zhang Jun

“…As a conventional form of gear failure，crack-wear coupled damage dramatically changes the vibration characteristics of a gear transmission system .In order to verify the influences of the coupled damage on the vibration characteristics of the transmission system，a dynamics model of spur gear transmission system，in which included the effect of crack and wear，is established，and its vibration analysis is carried out. Firstly，the nonlinear dynamics model of spur gear transmission system is established by means of lumped parameter method，the influence of tooth crack on mesh stiffness of gear pair is analyzed based on potential energy method. …”
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DYNAMIC BEHAVIOR AND SYNCHRONIZATION STUDY IN FITZHUGH-NAGUMO OSCILLATORS UNDER TIME DELAYS by YU RongRong, XI XiaoJian, Shang YunYan

“…In order to study mixed-mode oscillations and synchronization shown by coupled Fitz Hugh-Nagumo oscillators under time delays,the influence of different time delays and coupling strengths on synchronization behavior of the system was investigated by using analysis method of nonlinear dynamics and MATLAB software. Firstly,according to the dynamics of two FHN oscillations coupled by a single time delay,there was small in-phase and large out-of-phase oscillations influenced by diverse time delays. …”
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On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass by A.A. Al-Qaisia, M.N. Hamdan, B.O. Al-Bedoor

“…The results are presented, discussed and some conclusions on the partially immersed beam nonlinear dynamics are extracted.…”
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Morphological spatial patterns in a reaction diffusion model for metal growth by Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura

“…In this paper a reaction-diffusion system modelling metal growth processes is considered, to investigate -within the electrodeposition context- the formation of morphological patterns in a finite two-dimensional spatialdomain. Nonlinear dynamics of the system is studied from both the analytical and numerical points of view. …”
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EQUIVALENT CIRCUIT SIMULATION OF A TWO-DEGREE-OF-FREEDOM ELASTIC COLLISION VIBRATION SYSTEM WITH GAPS by ZHU Xifeng, FU Wenbin, MA Shuo, ZHENG Dong

“…A two-degree-of-freedom collision system with gap and elastic constraint was used as the research object, and the regional distribution and transitions of the periodic motion of the system under low frequency conditions were studied by numerical simulation.It was obtained that with the decrease of excitation frequency, the <italic>p</italic>/1 periodic motion occurs with grazing bifurcation transitions to （<italic>p</italic>+1）/1 periodic motion.When the number of collisions was large enough, the Chattering-impact characteristics were presented.Then a circuit model that was completely equivalent to the collision system was established and simulation experiments were carried out.The results show that the results generated by establishing the equivalent circuit are consistent with those generated by numerical simulations, and the equivalent circuit is more efficient in simulation experiments, which can realize fast modal transitions and parameter adjustments，making it more convenient and providing a research method for the study of nonlinear dynamics.…”
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Trajectory Tracking of a Flexible Robot Manipulator by a New Optimized Fuzzy Adaptive Sliding Mode-Based Feedback Linearization Controller by M. J. Mahmoodabadi, N. Nejadkourki

“…To reach this goal, after deriving the dynamical equations of the robot, the feedback linearization approach is utilized to change the nonlinear dynamics to a linear one and find the control law. …”
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Analysis of Slippage Characteristic of Roller in Cylindrical Roller Bearing during the Start up by Jia Yongchuan, Deng Sier

“…Based on the dynamics theory of rolling bearing,the dynamics model and nonlinear dynamics differential equations of the cylindrical roller bearing during the start up are obtained by considering of the change of lubrication state between rollers and rings. …”
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Complex Network in Solar Features by Somayeh Taran

“…The complex network of sunspots has also shown that sunspots and sunspot groups are formed through complex nonlinear dynamics.…”
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Distributed Analytical Formation Control and Cooperative Guidance for Gliding Vehicles by Shengwei Jia, Xiao Wang, Fugui Li, Yulin Wang

“…The proposed method takes full consideration of the characteristics of hypersonic gliding vehicle, such as complex nonlinear dynamics, no thrust, and quasi-equilibrium gliding condition, and no online numerical iteration is needed, which is well applicable for hypersonic gliding vehicles. …”
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