Richards equation for the assessment of landslide hazards by Ramesh Chandra Timsina

“…However, as a highly nonlinear parabolic partial differential equation (PDE), it has limited analytic solutions, which often lack precision in practical scenarios. …”
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Analysis of Cyclic Response of Bucket Foundations Based on Simplified Kinematic Hardening Model by Qing-lai Fan, Guo-feng Xiao, Xiao-di Chen

“…The response of bucket foundations for offshore wind turbines subjected to cyclic loading in saturated clay is explored through three-dimensional finite element numerical analyses. In the analyses, nonlinear cyclic hysteretic behavior of clay under undrained condition is modeled through a simple kinematic hardening constitutive model embedded in ABAQUS. …”
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Estimation of Sound Speed Profiles Using a Random Forest Model with Satellite Surface Observations by Zhenyi Ou, Ke Qu, Chen Liu

“…By removing the constraints of linear inversion, the nonlinear regression of the RF model showed a smaller RMSE and better robustness in the reconstruction process and was superior to the sEOF-r model at all depths. …”
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Synthesis and Characterization of Cerium Doped Titanium Catalyst for the Degradation of Nitrobenzene Using Visible Light by Padmini Ellappan, Lima Rose Miranda

“…The degradation mechanism followed the Langmuir Hinshelwood kinetic model with the rate constant depending nonlinearly on the operational parameters as given by the relationship Kapp (theoretical) = 2.29 * 10−4 * Intensity0.584 * Concentration−0.230 * Dosage0.425 * pH0.336.…”
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Numerical Studies of Floor Heave Control in Deep Mining Roadways with Soft Rocks by the Rock Bolts Reinforcement Technology by Ivan Sakhno, Svitlana Sakhno

“…It was found that significant floor heave caused by nonlinear deformation of laminated immediate floor under an increase in rock fracturing. …”
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Pose Space Surface Manipulation by Yusuke Yoshiyasu, Nobutoshi Yamazaki

“…To incorporate example deformations, we infer a pose from the handle translations/rotations and perform pose space interpolation, thereby avoiding involved nonlinear optimization. With the two-step linear approach combined with the proposed multiresolution deformation method, we can edit models at interactive rates without losing important deformation effects such as muscle bulging.…”
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A Numerical Assessment of Time-Dependent Magneto-Convective Thermal-Material Transfer over a Vertical Permeable Plate by Mohammed Jahir Uddin, R. Nasrin

“…For numerical model, a set of nonlinear dimensionless partial differential equations can be solved using an explicit finite difference approach. …”
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Investigation on Seismic Response of Long-Span Special Steel Truss Cable-Stayed Bridge by Yong Zeng, Xueqin Li, Yutong Zeng

“…The effects of structural parameter variations and traveling wave effects on the seismic response of this steel truss cable-stayed bridge with a single tower and a single cable plane were investigated by the nonlinear time-history analysis method and nonuniform seismic analysis method. …”
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Modeling and Parameter Identification of the MR Damper Based on LS-SVM by Cheng Qian, Xiaoliang Yin, Qing Ouyang

“…In order to identify the nonlinear characteristics of the magnetorheological (MR) damper applied in multi-DOF vibration reduction platforms in the aerospace field in the modeling process, the least square support vector machine (LS-SVM) method is adopted, because LS-SVM can handle small-sample, high-dimensional characteristic problems. …”
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Fault Diagnosis of Train Axle Box Bearing Based on Multifeature Parameters by Xiaofeng Li, Limin Jia, Xin Yang

“…Vibration signals generated by train axle box bearing have nonlinear and nonstationary characteristics. The methods used in traditional bearing fault diagnosis do not work well with the train axle box. …”
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Seismic Design Value Evaluation Based on Checking Records and Site Geological Conditions Using Artificial Neural Networks by Tienfuan Kerh, Yutang Lin, Rob Saunders

“…The results of this study provide an insight into this type of nonlinear problem, and the proposed method may be applicable to other areas of interest around the world.…”
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Exploration of Electrochemical Intermediates of the Anticancer Drug Doxorubicin Hydrochloride Using Cyclic Voltammetry and Simulation Studies with an Evaluation for Its Interaction... by Partha Sarathi Guin, Saurabh Das

“…The decrease in cathodic peak current was used to estimate the interaction of the drug with calf thymus DNA. Nonlinear curve fit analysis was applied to evaluate the intrinsic binding constant and site size of interaction that was compared with previous results on doxorubicin hydrochloride-DNA interaction monitored by cyclic voltammetry or spectroscopic techniques.…”
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Static and Dynamic Mechanical Properties of Long-Span Cable-Stayed Bridges Using CFRP Cables by Mei Kuihua, Sun Shengjiang, Jin Guoqing, Sun Yamin

“…The effects of geometric nonlinear factors on static performance of the two kinds of cable-stayed bridges were analyzed. …”
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A Rheological Model of Sandstones considering Response to Thermal Treatment by Xingang Wang, Lei Huang, Junrong Zhang

“…Based on the equation, a nonlinear visco-elastoplastic rheological constitutive model is developed for sandstones. …”
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Optimization of Backpropagation Neural Network under the Adaptive Genetic Algorithm by Junxi Zhang, Shiru Qu

“…This study is to explore the optimization of the adaptive genetic algorithm (AGA) in the backpropagation (BP) neural network (BPNN), so as to expand the application of the BPNN model in nonlinear issues. Traffic flow prediction is undertaken as a research case to analyse the performance of the optimized BPNN. …”
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Viscoelastic hydrodynamics and holography by Jay Armas, Akash Jain

“…Abstract We formulate the theory of nonlinear viscoelastic hydrodynamics of anisotropic crystals in terms of dynamical Goldstone scalars of spontaneously broken translational symmetries, under the assumption of homogeneous lattices and absence of plastic deformations. …”
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Self-Organization of Polymeric Fluids in Strong Stress Fields by A. V. Semakov, V. G. Kulichikhin, A. Y. Malkin

“…We presume that the developed concept can play a central role in understanding strong nonlinear effects in the rheology of viscoelastic liquids.…”
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The Quest for a Stable Disk by J. A. Sellwood, R. G. Carlberg

“…Toomre (1981) claimed that the Mestel disk, embedded in an equal-mass halo, is a notable counterexample, but his prediction of stability could not be reproduced in simulations, due to complicated nonlinear effects that caused secular growth of Poisson noise–driven disturbances until strong features emerged. …”
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Earthquake-Induced Domino-Type Progressive Collapse in Regular, Semiregular, and Irregular Bridges by Amir Seyedkhoei, Reza Akbari, Shahrokh Maalek

“…In the next step, progressive collapse process of the same bridge with posttensioned voided slab under earthquakes was studied using nonlinear time history analysis. Irregularities of the piers were analyzed parametrically. …”
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Fault Diagnosis of Electromechanical Actuator Based on VMD Multifractal Detrended Fluctuation Analysis and PNN by Hongmei Liu, Jiayao Jing, Jian Ma

“…However, EMAs often run under variable conditions in realistic environment, and the vibration signals of EMAs are nonlinear and nonstationary, which make it difficult to effectively achieve fault diagnosis. …”
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