A Review of the Detection Methods for Climate Regime Shifts by Qunqun Liu, Shiquan Wan, Bin Gu

“…With the development of nonlinear science, many new methods have been presented for detecting an abrupt dynamic change in recent years, which is useful supplement for the abrupt change detection methods.…”
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Morphometrics and evolution: the challenge of crossing rugged phenotypic landscapes with straight paths by P. D. Polly

“…Dense sampling of shape space and the use of fully multivariate and, perhaps, nonlinear methods can help forestall potential problems.…”
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Numerical Investigation of Load-Carrying Capacity of GFRP-Reinforced Rectangular Concrete Members Using CDP Model in ABAQUS by Ali Raza, Qaiser uz Zaman Khan, Afaq Ahmad

“…The present work demonstrates the nonlinear finite element analysis (NLFEA) of 13 concentrically and eccentrically loaded short rectangular concrete column specimens reinforced with GFRP and conventional steel bars. …”
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THERMO-MAGNETO-ELASTIC ANALYSIS IN A CURRENT-CARRYING SHELL WITH CLAMPED PERIMETERS by BIAN YuHong, ZHANG Chen

“…Based on the kinetic equations, geometric equations, physical equations, and electrodynamics equations, the fundamental equations of a current-carrying shell under the interaction of a mechanical field,an electromagnetic field,and a temperature field were given. The nonlinear partial differential equations including 10 basic unknown variables were established.Using Newmark’s stable finite equidifferent formulas,normal type which can be solved by the discrete-orthogonalization method was obtained. …”
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Bayesian Inference of Elevation to Reduce Large Interpolation Errors in 2-d Road Features Draped Over Digital Elevation Models by Crispin H. V. Cooper

“…In the case of road networks, these errors have a severe and nonlinear effect on cycling route planners and transport models, especially those based on open elevation data. …”
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Effect of Gear Eccentricity on Dynamic Behavior of Locomotive Rolling Stock Transmission System by Li Fuzhong, Du Hongmei, Li Fenglin, Fan Yiwei, Zhang Liang, Wang Zhiwei

“…The gear transmission sub-system and the locomotive system are coupled through the gear meshing, suspension system and wheel-rail interactions. The nonlinear factors such as gear backlash, time-varying meshing stiffness, track geometric irregularity and wheel-rail contact are considered in detail. …”
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Adaptive Controller Design for Improving Helicopter Flying Qualities by Wei Wu

“…An adaptive controller is designed according to the developed method for the UH-60A helicopter based on a nonlinear simulation program. Typical response types are also implemented. …”
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Improving the Validity of Squeeze Film Air-Damping Model of MEMS Devices with Border Effect by Cheng Bai, Jin Huang

“…In this paper, we use Green’s function to solve the nonlinear Reynolds equation with inhomogeneous boundary conditions. …”
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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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Combined lock-in thermography and heat flow measurements for analysing heat dissipation during fatigue crack propagation by J. Baer, A. Vshivkov, O. Plekhov

“…Whereas the thermography measurements show a linear decrease of the signal with rising crack length, the heat flow measurements show a clearly nonlinear dependency. Obviously the measured energies in thermography and peltier based heat flow measurement are not comparable.…”
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The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation by Guiping Shen, Jalil Manafian, Syed Maqsood Zia, Dinh Tran Ngoc Huy, Trung-Hieu Le

“…Materials such as photovoltaic-photorefractive, polymer, and organic contain spatial solitons and optical nonlinearities, which can be identified by seeking from energy-dependent Schrödinger potential. …”
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Prediction and Analysis of Slope Stability Based on IPSO-SVM Machine Learning Model by Yu Wang, Erxia Du, Sanqiang Yang, Li Yu

“…In the evaluation and prediction of slope stability, the traditional numerical analysis method, which is over reliant on experience, takes a large amount of computing time and lacks the ability to reflect the fuzzy and nonlinear characteristics of slope parameters well. …”
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Precision assembly error analysis of parts based on multi-constraint surface matching by Wenbin Tang, Tong Yan, Jinshan Sun, Yadong Li

“…To solve the model, Spatial Pyramid Matching with chaotic mapping is employed for population initialization, thereby enhancing population diversity. A nonlinear control mechanism is further introduced to dynamically adjust inertia weight, and a simulated annealing mechanism is integrated into the particle swarm optimization algorithm to enhance the efficiency of the surface matching process. …”
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Trajectory Tracking Control of Robot based on Improved Genetic Algorithm by Liu Yiyang, Liu Mingming

“…The motion track of the robot in the process of motion is influenced by small disturbance linear error,the robot system is a multi variable nonlinear control system,and in the traditional genetic algorithm for trajectory tracking control,the steady- state tracking error appearances in the boundary layer. …”
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Fatigue life estimation in welded joints under multiaxial loadings by Andrea Carpinteri, Andrea Spagnoli, Sabrina Vantadori

“…In more detail, fatigue life of welded joints under multiaxial stress states can be evaluated by considering a nonlinear combination of the shear stress amplitude (acting on the critical plane) and the amplitude and the mean value of the normal stress (acting on the critical plane). …”
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Analysis of the Influence of Error on Load Sharing Characteristic of Planetary Transmission System by Zhou Lu, Wu Shijing, Li Jing, Wang Xiaosun, Zhu Weilin

“…A nonlinear transverse-torsional coupled dynamics model for planetary gear sets is established with considering time-varying meshing stiffness and gear backlash,and the changes of dynamic load sharing characteristics are analyzed when errors and error phase angles exist on individual or multiple components. …”
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Assessment of resilient modulus of soil using hybrid extreme gradient boosting models by Xiangfeng Duan

“…In BKA-XGBOOST, XGBOOST captures the many-to-one nonlinear relationship between geotechnical factors and MR, while BKA provides the optimal hyperparameters for XGBOOST. …”
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Heat Transfer in Boundary Layer Magneto-Micropolar Fluids with Temperature-Dependent Material Properties over a Stretching Sheet by Ephesus O. Fatunmbi, Samuel S. Okoya

“…With the aid of similarity conversion analysis, the formulated equations of the flow and heat transfer have been translated into a system of nonlinear ordinary differential equations. Subsequently, Runge–Kutta–Fehlberg integration scheme in company of shooting techniques employed to obtain numerical solutions to the reduced equations. …”
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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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Application of EMPE and KP-KELM in Fault Diagnosis of Planetary Gearbox by Bo Qin, Heng Yin, Zhuo Wang, Jianqiang Zhang, Zhijun Li, Jianguo Wang

“…According to the nonlinear and non-stationary of the planetary gearbox vibration signal fault characteristics is difficult to extract and the problem of low classification accuracy Gaussian kernel extreme learning machine based on random generation kernel parameters， a method for identifying the state of planetary gearboxes with enhence multi-scale permutation entropy （EMPE） and nuclear-polarized Gaussian kernel extreme learning machine （KELM） is proposed. …”
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