A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency by Weizhi Xu, Dongsheng Du, Shuguang Wang, Weiwei Li

“…An innovative simplified calculation method for determining the ADR of a structure supplemented by nonlinear viscous dampers is proposed. This method does not require the dynamic response of the structure to be calculated and only requires the structural characteristics, excitation frequency, and damper parameters. …”
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Separation effectiveness of ideal ion exchange membranes: Application of the Gibbs-Donnan theory. by Jacek Waniewski, Leszek Pstras, Mauro Pietribiasi

“…For both cases, the presented nonlinear algebraic equations require in general the use of numerical methods to approximate their mathematical solutions, although we present as well some closed solutions for simple cases with ideal ionic mixtures. …”
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On Oscillations and Noise in Multicomponent Adsorption: The Nature of Multiple Stationary States by Olga M. Jakšić, Zoran Jakšić, Milena B. Rašljić, Ljiljana Z. Kolar-Anić

“…Starting from the fact that monocomponent adsorption, whether modeled by Lagergren or nonlinear Riccati equation, does not sustain oscillations, we speculate about the nature of multiple steady state states in multicomponent adsorption with second-order kinetics and about the possibility that multicomponent adsorption might exhibit oscillating behavior, in order to provide a tool for better discerning possible oscillations from inevitable fluctuations in experimental results or a tool for a better control of adsorption process far from equilibrium. …”
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Response of the Thermosphere‐Ionosphere System to an X‐Class Solar Flare: 30 March 2022 Case Study by Volkan Sarp, Erdal Yiğit, Ali Kilcik

“…Simulation results reveal that the coinciding interplanetary magnetic field southward turning had a greater influence on these parameters compared to the solar flare, while their nonlinear interaction introduced complex variations. …”
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FEA Simulation of the Biomechanical Structure Overload in the University Campus Planting by Stanislau Dounar, Alexandre Iakimovitch, Katsiaryna Mishchanka, Andrzej Jakubowski, Leszek Chybowski

“…Static simulation of the tree loading is provided both in the linear formulation and in the geometrically nonlinear one. It is proved that in the trunk-branch junction area the stresses are twice lower than the branch itself, and it is not the place for fracture. …”
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The approximate lag and anticipating synchronization between two unidirectionally coupled Hindmarsh-Rose neurons with uncertain parameters by Bin Zhen, Ya-Lan Li, Li-Jun Pei, Li-Jun Ouyang

“…This study provides a novel perspective for comprehending neural processes and the advantageous attributes inherent in nonlinear and chaotic systems.…”
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Generalized Multiphase Dynamic Modeling and Precision Interaction Force Control of a Walking Lower Limb Hydraulic Exoskeleton by Shan Chen, Muye Lu, Fangfang Dong, Haijun Liu, Xiaoqing Tian, Jiang Han

“…Wearable lower limb hydraulic exoskeletons can be used to augment the human performance in heavy load transportation. Nonlinear and walking phase-dependent dynamics make the lower limb hydraulic exoskeleton become difficult to be modeled. …”
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Evaluation of Induced Settlements of Piled Rafts in the Coupled Static-Dynamic Loads Using Neural Networks and Evolutionary Polynomial Regression by Ali Ghorbani, Mostafa Firouzi Niavol

“…Since the analyses, especially in the case of coupled static-dynamic loads, are not simply conducted, this paper presents two practical methods to gain the values of settlement. First, different nonlinear finite difference models under different static and coupled static-dynamic loads are developed to calculate exerted settlements. …”
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Numerical Investigation of Complex Thermal Coal-Gas Interactions in Coal-Gas Migration by Xiaoyan Ni, Peng Gong, Yi Xue

“…In this study, the fully coupled transient model combines the relationship of gas flow, heat transfer, coal mass deformation, and gas migration under variable temperature conditions and represents an important nonlinear response to gas migration caused by the change of effective stress. …”
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On quasi-integrable deformation scheme of the KdV system by Kumar Abhinav, Partha Guha

“…One such system maps to the known quasi-deformed nonlinear Schrödinger (NLS) soliton in the already known weak-coupling limit, whereas a generic scaling of the KdV amplitude $$u\rightarrow u^{1+\varepsilon }$$ also suggests quasi-integrability under an order-by-order expansion. …”
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DYNAMIC ANALYSES OF SOIL-STRUCTURE INTERACTION IN OFFSHORE WIND TURBINE ON TRIPOD IMPACTED BY A SHIP by HAN ZhiWei, ZHOU HongJie, LI Chun, DING QinWei

“…The probability of collisions between offshore wind turbines and ships increases with the development of offshore wind farm. Based on nonlinear dynamic analysis method,through LS-DYNA to simulate the ship impact a 4 MW offshore wind turbine tripod,the paper compare p-y curve method and fixed bottom end constraint. …”
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Numerical Solutions of Micropolar Nanofluid over an Inclined Surface Using Keller Box Analysis by Khuram Rafique, Hammad Alotaibi, Taher A. Nofal, Muhammad Imran Anwar, Masnita Misiran, Ilyas Khan

“…Compatible transformations are implemented to attain the nonlinear differential equation from the boundary value PDE’s. …”
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Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions by M. Menaka, R. Manimaran, S. Saravanakumar, L. Rajendran, A. Eswari

“…The model investigates the nonlinear reaction-diffusion equations governing reactions within catalyst pellets, focusing on the spatial distribution and transformation of substances. …”
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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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Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation by Sohel Rana, Jeevan Kanesan, Ahmed Wasif Reza, Harikrishnan Ramiah

“…The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization technique were used successfully to predict the accurate and stable temperature responses without the loss of initial nonlinear/high frequency response. To reduce the increased computational time by Tikhonov WCAWE using ML (TWCAWE-ML), another well-conditioned scheme, called mass effect (ME) T-WCAWE, is introduced. …”
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Thermal effects of AISI 304-L stainless steel after laser irradiation by Anderson Kenji Hirata, Claudio Luis dos Santos, Helder de Paula Vicente, Paulo Paiva Oliveira Leite Dyer, Getulio de Vasconcelos

“…The selection of welding parameters of the L-DED system is critical for obtaining the desired results in metal deposition, however, due to its intrinsic nonlinear behavior in the process, the suitable choices need to be investigated. …”
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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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On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions by Haobin Liu, Hassan Khan, Rasool Shah, A. A. Alderremy, Shaban Aly, Dumitru Baleanu

“…The suggested procedure is very attractive and straight forward and therefore can be modified to solve high nonlinear fractional partial differential equations and their systems.…”
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