Designing a Neural Observer to Estimate the State Variables of the Dynamical System of a Specific Class of Leukaemia by Yousef Farshidi, Reza Ghasemi, Aminin Sharafian Ardekani

“…This article aims to present a novel neural network observer-based approach in order to estimate the state variables of the nonlinear dynamical system of chronic myelogenous leukemia (CML), specially the number of the infected cells. …”
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Numerical Simulation Study of Progressive Collapse of Reinforced Concrete Frames with Masonry Infill Walls under Blast Loading by Qinghu Xu, Xuezhi Zhen, Yu Zhang, Mengjun Han, Wenkang Zhang

“…The influence of masonry infill walls on the progressive collapse performance of reinforced concrete (RC) frame structures was investigated in this paper, using a nonlinear dynamic analysis approach. Based on ANSYS/LS-DYNA finite element software, two finite element models of RC frame structures with and without masonry infilled walls were established. …”
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The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam by Wenguang Liu, Mark E. Barkey

“…This behaviour induces not only nonlinear dynamic response but also nonlinear crack growth. …”
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Investigation of Nonlinear Behaviour of Semiburied Cylindrical Concrete Reservoir without Dynamic Load Effect by Mazhar Fatahi, Mahdi Meftah Halghi, Mehran Soltani Tehrani

“…Moreover, the response correcting behaviour (R) was evaluated based on the findings from a push-over and nonlinear dynamic analysis. This research finding indicated that the reservoir shapes and support types affect the deformability of the reservoirs. …”
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Effect of Seismic Frequency Spectra on Surrounding Rock Damage Evolution of Large Underground Caverns by Yumin Zhang, Zeqi Zhu, Rongchao Xu, Zhiquan Huang

“…By inputting five earthquakes of various frequency spectra, the fully nonlinear dynamic analysis was performed for some large underground caverns in the gorge and mountain region in Sichuan Province in China with the explicit difference method. …”
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Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay by Muhammad Shamrooz Aslam, Xisheng Dai

“…The descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. …”
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Modeling and Simulation of Control Actuation System with Fuzzy-PID Logic Controlled Brushless Motor Drives for Missiles Glider Applications by Murali Muniraj, Ramaswamy Arulmozhiyal

“…The proposed system will realize better rise time and less overshoot while operating in extreme nonlinear dynamic system conditions. A mathematical model of BLDC motor is derived in state space form. …”
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Nonlinear Vibration Mechanism of the Marine Rotating Machinery with Airbag Isolation Device under Heaving Motion by Xiaolei Du, Ming Li

“…Then, the multiple-scale method is conducted to analyze the nonlinear dynamic characteristics of the mechanical system; the frequency-response curves are mainly studied under different parameters, such as the heave excitation, rotor speed, and damping; and the numerical method is also introduced to analyze its dynamic behaviors, such as the steady-state response and its corresponding phase diagram, Poincaré section. …”
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Load Parameter Identification for Parallel Robot Manipulator Based on Extended Kalman Filter by Shijie Song, Xiaolin Dai, Zhangchao Huang, Dawei Gong

“…Then, according to the dynamic model, the excitation signal is designed and a weak nonlinear dynamic model is derived. Furthermore, the identification model is presented and the identification algorithm based on the extended Kalman filter is designed. …”
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Fractional-Order Sliding Mode with Active Disturbance Rejection Control for UAVs by Zhikun Zhang, Hui Zhang

“…Firstly, the dynamic model of the UAV is established, and its nonlinear dynamic characteristics are analyzed in detail. …”
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Complexities in Assessing Structural Health of Civil Infrastructures by Abdullah Al-Hussein, Achintya Haldar

“…An unscented Kalman filter (UKF) concept is developed for highly nonlinear dynamic systems. It is denoted as 3D UKF-UI-WGI. …”
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The Supply Chain Triangle: How Synchronisation, Stability, and Productivity of Material Flows Interact by Florian Klug

“…These models allow us to take into account the nonlinear, dynamical interactions of different supply chain echelons and to test synchronised and stable flow with respect to its potential impacts. …”
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Study on dynamics characteristic on combination misalignment and rubbing of the dual-rotor system by YAO Xia, NAN Guofang, LI Yao, QIU Xuewen

“…The misalignment of the dual-rotor system for the aero-engine will lead to abnormal increase of the vibration which results in the rotor-stator rubbing and affects the safty and stability of the rotor operation.The dual-rotor system was taken as the research object.Considering the combination misalignment-rubbing fault, the dynamic model of the rotor system is established based on the lumped mass method.The differential equation of the system motion was established according to the Lagrange equation, and the Range-Kutta method was used to solve it.The influence mechanism of the key parameters such as the speed, the misalignment angle and the coupling misalignment on the nonlinear dynamic characteristics of the system was studied.The results show that the system presents complex dynamic characteristics such as periodic, multi-periodic, quasi-periodic and chaotic motion with the increase of the rotor’s speed.When the speed is in the range of 1 500-2 200 rad/s, the system switches between periodic 2 motion and chaotic state through multiple paroxysmal bifurcations and paroxysmal inverted bifurcations.There are nonlinear phenomena such as jump in the bifurcation diagram of the vibration response with the change of the parallel misalignment of the coupling.As the misalignment angle of the bearing increases, the chaotic interval of the high speed decreases, and the stable periodic motion interval increases.…”
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Modeling, Testing, and Characteristic Analysis of a Planetary Flywheel Inerter by Zheng Ge, Weirui Wang

“…According to the structure of the planetary flywheel inerter, nonlinear factors of the inerter are analyzed, and a nonlinear dynamical model of the inerter is established. …”
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Impact-Rubbing Dynamics of Rotor with Hollow Shaft and Offset Discs Based on MDOF Timoshenko Beam Theory by Guofang Nan, Xia Yao, Jingya Yao, Chao Wang

“…The research results indicate that the power turbine rotor with the hollow shaft on operation shows the various nonlinear dynamic behaviors including the multiperiod, quasi-period, jumping phenomenon, and chaotic motions; there exists an optimal gap between the rotor and the stator from the perspective of the efficiency and the dynamics; the optimal gap should make system avoid the resulting chaos or the quasi-period motion for the stability and safety of the machinery.…”
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Power Forecasting of Combined Heating and Cooling Systems Based on Chaotic Time Series by Liu Hai, Song Yong, Du Qingfu

“…Chaos is an inherent property of nonlinear dynamic system. A predicator of the output power of the distributed generation system is to establish a nonlinear model of the dynamic system based on real time series in the reconstructed phase space. …”
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Chaos Prediction in Fractional Delayed Energy-Based Models of Capital Accumulation by Mohamed El-Borhamy, Tamer Medhat, Manal E. Ali

“…This paper presents the nonlinear dynamic analysis of energy-based models arisen from the applied systems characterized by the energy transport in the presence of fractional order derivative and time delay. …”
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Analytical Redundancy of Variable Cycle Engine Based on Proper Net considering Multiple Input Variables and the Whole Engine’s Degradation by Zihao Zhang, Xianghua Huang, Tianhong Zhang

“…In another word, Proper net is proposed to solve a multivariable, strongly nonlinear, dynamic, and time-varying problem. In order to make the topological structure of Proper net physically explainable, Proper net’s topological structure is designed according to physical relationship between variables, by which means analytical redundancy based on Proper net achieves higher accuracy with less calculation time. …”
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Research on Aircraft Attitude Control Method Based on Linear Active Disturbance Rejection by Zhiguo Song, Changjian Zhao, Huiqiang Zhang, Tian Dong, Aojia Ma, Dawei Yan

“…Firstly, based on the nonlinear dynamic model of aircraft, the control system model with inner loop as angular velocity and outer loop as attitude angle is established. …”
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Modeling and Application of Process Damping in Milling of Thin-Walled Workpiece Made of Titanium Alloy by Xin Li, Wei Zhao, Liang Li, Ning He, ShengWei Chi

“…The paper presents one nonlinear dynamic model considering process damping for milling of thin-walled workpiece made of titanium alloy and designs antivibration clearance angle to suppress chatter based on the model. …”
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