RESEARCH ON BENDING⁃TORSION COUPLING VIBRATION CHARACTERISTIC OF COMPRESSOR SHAFT SYSTEM CONSIDERING HARD STIFFNESS CHARACTERISTIC by ZHANG Hao, ZHAO Xiang, ZHANG DongMei, ZUO Song

“…With rotational speed as the control parameter， the variable stiffness characteristic induces nonlinear behaviors such as chaos and bifurcation and causes a rightward shift of the resonance peak and an increase in the amplitude of the unstable region. …”
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柴油机卷簧扭振减振器力学模型和性质研究 by 田中旭, 陈俊豪, 蔡正祥, 汪俊, 李嘉鹏

“…Owning high reliability and excellent performance,sleeve spring-type torsional vibration dampers is often used in high-power marine diesel engine to reduce torsional vibration.However,since sleeve spring pack belongs to the large deformation and nonlinear problem of the superposed curved beam,the description of the deformation state,the change of the contact area and the limitation of the surrounding space on the deformation make the study of mechanical model very complicated.So far,there still isn’t an efficient and accurate computational method for the stiffness parameters.Therefore,the computational model of the stiffness for the dampers was studied.Based on the superposed curved beam bending models,these complex factors such as the contact between the springs,support and limit of stroke limiter were fully considered.A complete damper stiffness mechanics model and related algorithms were presented and program was made as well.Correctness of the model was verified by the method of finite element analysis.Based on this,the influence of the main design parameters of the damper on the mechanical properties was studied,which provided a basis for design of the damper.…”
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New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation by Yu-Ming Chu, Shumaila Javeed, Dumitru Baleanu, Sidra Riaz, Hadi Rezazadeh

“…This work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). …”
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Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods by Eman A. A. Ziada, Hind Hashem, Asma Al-Jaser, Osama Moaaz, Monica Botros

“…This research aimed to find numerical solutions to a type of nonlinear initial value problem (IVP) for hybrid fractional differential equations. …”
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Biomechanical Simulation of Peyronie’s Disease by Pavel Drlík, Vladimír Červenka, Jan Červenka

“…The numerical model is based on the real geometrical shape and the tissue structure with consideration of large nonlinear deformations. The penile erection is modeled by the initial strains imposed on the corpus cavernosa. …”
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Local Analyticity in the Time and Space Variables and the Smoothing Effect for the Fifth-Order KdV-Type Equation by Kyoko Tomoeda

“…This equation is obtained by removing the nonlinear term 10𝑢𝜕3𝑥𝑢 from the fifth-order KdV equation. …”
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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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Spatiotemporal chaotic one-way Hash function construction based on coupled tent maps by LIU Jian-dong, FU Xiu-li

“…A novel coupled tent maps-based spatiotemporal chaotic cryptographic Hash function was proposed.Compared with the discrete tent map,the coupled discrete tent spatiotemporal chaotic maps have longer computer-realization-period,nearly uniform distribution and desired diffusion and confusion properties.Based on the coupled discrete tent spatiotemporal chaotic maps,a cryptographic Hashing function is constructed to generate 128-bit Hash value from a message with arbitrary length.The approach uses the initial value of coupled discrete tent chaotic dynamical system iteration as the secret key.The key space is very large.There is a high sensitivity and complex and strongly nonlinear coupling relation between the Hash value and the corresponding message and secret key.Theoretic analysis and simulation results are shown that the approach possess not only extremely high security in comparison with earlier chaotic Hash functions,but also the high execution speed.Therefore,the approach can satisfy all the performance requirements of Hash function,such as one-way,key sensitivity and collision resistance.…”
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Empirical Mode Decomposition Combined with Local Linear Quantile Regression for Automatic Boundary Correction by Abobaker M. Jaber, Mohd Tahir Ismail, Alssaidi M. Altaher

“…Empirical mode decomposition (EMD) is particularly useful in analyzing nonstationary and nonlinear time series. However, only partial data within boundaries are available because of the bounded support of the underlying time series. …”
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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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Computer Simulation Tests of Feedback Error Learning Controller with IDM and ISM for Functional Electrical Stimulation in Wrist Joint Control by Takashi Watanabe, Yoshihiro Sugi

“…The simple ISM learning method and the FEL-FES controller using the ISM would be useful in controlling the musculoskeletal system that has nonlinear characteristics to electrical stimulation and therefore is expected to be useful in applying to hybrid FES system using powered orthotic device.…”
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Dynamic Modeling and Simulation of a Super-High-Speed Circumferential-Flux Hysteresis Motor by A. Halvaei Niasar, M. Zare, H. Moghbelli

“…This paper presents the dynamic performance characteristics of hysteresis motors using a Matlab/Simulink software. A nonlinear mathematical model based on a d-q axis theory in the rotor reference frame is applied to study the starting and synchronization processes of a hysteresis machine with a circumferential-flux-type rotor. …”
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Cloud Platform Based on Mobile Internet Service Opportunistic Drive and Application Aware Data Mining by Ge Zhou

“…Secondly, through the cloud platform different cloud and channel aware, nonlinear mapping from the service to a data set of proposed perceptual model is applied. …”
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Double-Scale Expansions for a Logarithmic Type Solution to a q-Analog of a Singular Initial Value Problem by Stéphane Malek

“…For a particular choice of the forcing term, this solution turns out to solve some specific nonlinear q−difference differential equation with polynomial coefficients in some positive rational power of t. …”
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Trajectory Tracking Control of Wheeled Robot based on Neural Dynamic Mechanics with Parameter Adaptive by Zhang Wenchao, Jiang Qingjian

“…The wheeled robot has a complex nonlinear,strong coupling and time- varying dynamics characteristics,so taking the using of the traditional robot trajectory tracking control is easy to produce larger velocity mutation,and it bring about the chattering phenomenon of the robot in the process of control,and a kind of wheeled robot trajectory tracking control method based on parameter adaptive neural dynamic mechanics is put forward. …”
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Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction by Poom Kumam, Fayyaz Rouzkard, Mohammad Imdad, Dhananjay Gopal

“…Motivated by this paper, we prove results on coincidence points for a pair of weakly increasing mappings satisfying a nonlinear contraction condition described by a rational expression on an ordered complete metric space. …”
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Quantitative functional calculus in Sobolev spaces by Carlo Morosi, Livio Pizzocchero

“…In the frame work of Sobolev (Bessel potential) spaces Hn(Rd,R or C), we consider the nonlinear Nemytskij operator sending a function x∈Rd↦f(x) into a composite function x∈Rd↦G(f(x),x). …”
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VIBRATION EXPERIMENT OF COAL SHEARER CUTTING UNIT GEARBOX HOUSING IN OBLIQUE CUTTING by LI Peng

“…The impact of cutting load on beat phenomenon and frequency coupling is investigated,and some conclusions related to the impact of cutting load on dynamic characteristics of nonlinear gear system are obtained.…”
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Stagnation Point Flow of Nanofluid over a Moving Plate with Convective Boundary Condition and Magnetohydrodynamics by Fazle Mabood, Nopparat Pochai, Stanford Shateyi

“…The governing partial differential equations for the fluid flow, temperature, and concentration are reduced to a system of nonlinear ordinary differential equations. The derived similarity equations and corresponding boundary conditions are solved numerically using Runge-Kutta Fehlberg fourth-fifth order method. …”
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Local controllability and optimal control for\newline a model of combined anticancer therapy with control delays by Jerzy Klamka, Helmut Maurer, Andrzej Swierniak

“…Our numerical approach uses dicretization and nonlinear programming methods as well as the direct optimization of switching times. …”
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