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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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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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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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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Laboratory modeling of MHD accretion disks by Gissinger, Christophe

“…These experiments also highlight the nonlinear transition to turbulence in accretion disks, and their link with other MHD instabilities in centrifugally-stable flows. …”
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Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement by Zhu Lingyun, Gu Meihua, Gou Xiangfeng

“…In order to reveal the dynamics and dynamic characteristics of face-gear in the transmission process, a nonlinear dynamic model of bending, torsion and pendulum of face-gear transmission system considering multi-state engagement is established. …”
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Empirical mode decomposition analysis of climate changes with special reference to rainfall data

“…<p>We have used empirical mode decomposition (EMD) method, which is especially well fitted for analyzing time-series data representing nonstationary and nonlinear processes. This method could decompose any time-varying data into a finite set of functions called &#8220;intrinsic mode functions&#8221; (IMFs). …”
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STRUCTURE FINITE ELEMENT ANALYSIS AND LIGHTWEIGHT DESIGN OF MULTILAYER DRUM by WEN MingLiang, WU Xiao, LI Xin, XIONG Gang

“…In order to reduce the execution cycle of the ANSYS optimization method and improve the efficiency,it uses LM-BP neural network which has great nonlinear problem fitting ability and GA which has excellent global search ability in Matlab to realize this rapid optimization design of multilayer drum. …”
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Insulin resistance surrogates are associated with all-cause mortality and cardiovascular mortality in population with metabolic syndrome: a retrospective cohort study of NHANES by Jinhao Liao, Linjie Wang, Lian Duan, Fengying Gong, Huijuan Zhu, Hui Pan, Hongbo Yang

“…Restricted cubic spline curves showed QUICKI, IGR, and e-IS had a nonlinear relationship with statistical significance. …”
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Improved Transient Performance of a Fuzzy Modified Model Reference Adaptive Controller for an Interacting Coupled Tank System Using Real-Coded Genetic Algorithm by Asan Mohideen Khansadurai, Valarmathi Krishnasamy, Radhakrishnan Thota Karunakaran

“…It is concluded that the proposed controller can be used to obtain very good transient performance for the control of nonlinear processes.…”
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Decoupling Control Strategy of BLIM considering Rotor Mass Eccentricity by Wenshao Bu, Biao Li, Chunxiao Lu

“…., bearingless induction motor, is a multivariable, nonlinear, and strong coupling object; to achieve its high performance magnetic suspension operation control and overcome the influence of the rotor mass eccentricity, a decoupling control strategy considering the rotor mass eccentricity is proposed. …”
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Model Reduction Using Proper Orthogonal Decomposition and Predictive Control of Distributed Reactor System by Alejandro Marquez, Jairo José Espinosa Oviedo, Darci Odloak

“…Around these optimal profiles, the nonlinear partial differential equations (PDEs), that model the reactor are linearized, and afterwards the linear PDEs are discretized in space giving as a result a high-order linear model. …”
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On Discrete Fractional Integral Inequalities for a Class of Functions by Saima Rashid, Hijaz Ahmad, Aasma Khalid, Yu-Ming Chu

“…The governing high discretization of problems is an advanced version of the existing forms that can be transformed into linear and nonlinear difference equations using appropriately adjusted transformations invoking property of observing the new chaotic behaviors of the logistic map. …”
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Seismic Performance Evaluation of Special RC Frames with Gravity Steel Columns under the Base Level by Amin Zaherdannak, Amirhosein Shabani, Saeed Erfani

“…In this research, seismic performance of structures implementing the suggested alternative is evaluated using nonlinear static and dynamic analyses and compared to that of regular counterparts. …”
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Modal Parameter Identification Based on Hilbert Vibration Decomposition in Vibration Stability of Bridge Structures by Yingzhi Xia, Hui Li, Zhezhe Fan, Jiyong Xiao

“…The proposed method is proved to be efficient in modal parameter identification for both linear and nonlinear systems, with better frequency resolution, and it can be applied to systems with closely spaced modes and low-energy mode.…”
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Threshold Effect of Inflation on the Relationship between Stock Market Index and Interest Rate by Kenan İlarslan

“…As a result, empirical evidence indicates that deposit interest rates have a nonlinear effect on the stock market index in Turkey, which is influenced by the level of inflation. …”
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