Measurement and simulation of strain fields around crack tips under mixed-mode fatigue loading by Y. Hos, M. Vormwald, J.L.F. Freire

“…The mechanical material behavior has been assumed as linear elastic in a first approach for calculating stress intensity factors. The nonlinear nature of the cyclic deformation has been taken into account by applying a cyclic plasticity model, and plasticity-induced crack closure is captured by a contact formulation.…”
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Compressive Strength Prediction of Self-Compacting Concrete-A Bat Optimization Algorithm Based ANNs by Amir Andalib, Babak Aminnejad, Alireza Lork

“…This article examines the feasibility of using bat-trained artificial neural networks (ANNs) to predict the compressive strength of self-compacting concrete (SCC). The nonlinear behavior of SCC challenges traditional modeling techniques. …”
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Complexity: Frontiers in Data-Driven Methods for Understanding, Prediction, and Control of Complex Systems 2022 on the Development of Information Theoretic Model Selection Criteria... by Andrea Murari, Michele Lungaroni, Riccardo Rossi, Luca Spolladore, Michela Gelfusa

“…On the other hand, particularly in the investigation of complex systems and nonlinear phenomena, discriminating between alternative models can be a very challenging task. …”
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Effect of Couple-Stress on Peristaltic Transport of Sutterby Fluid in an Asymmetric Channel by Asmaa Mohammed, Liqaa Zeki Hummady

“…In flow analysis, assumptions such as long wavelength approximation and low Reynolds number are used. The resulting nonlinear equation was numerically solved using the perturbation method. …”
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Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods by Gbeminiyi Musibau Sobamowo, Suraju Aremu Oladosu, Rafiu Olalekan Kuku, Antonio Marcos de Oliveira Siqueira

“…It is hoped that the present work will serve as the basis of verifications of the other works on the nonlinear thermal analysis of the extended surface. …”
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Unsteady MHD Mixed Convection Flow of Chemically Reacting Micropolar Fluid between Porous Parallel Plates with Soret and Dufour Effects by Odelu Ojjela, N. Naresh Kumar

“…A suitable similarity transformation is used to reduce the governing partial differential equations into nonlinear ordinary differential equations and then solved numerically by the quasilinearization method. …”
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Vehicle Type Recognition Algorithm Based on Improved Network in Network by Erxi Zhu, Min Xu, De Chang Pi

“…For the high efficiency of the multilayer perceptive layer of Network in Network (NIN), the nonlinear features of local receptive field images can be extracted. …”
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Study on the Damping Mechanism of the Shrouded Blade considering Contact Features by Chaofeng Li, Tao Li, Ruihuan Qiao, Bangchun Wen

“…The results demonstrate that the damping effect of the shroud by contact is more obvious than by friction and the amplitude-frequency curve of the shrouded blade shows a strong hard nonlinear phenomenon.…”
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THE EFFECT OF CLEARANCE BETWEEN INTERNAL SPLINE AND EXTERNAL SPLINE ON LOAD SHARING CHARACTERISTICS OF A PLANETARY GEAR TRAIN by SHEN Rui, FU BiBo, HUANG ZhenRong, YAN YueSheng, KANG LiXia

“…Also,friction of inner and outer teeth in splined connection as well as constraint floating of sun gear are simulated. The nonlinear opposite supporting force of the spline on the input shaft to the sun gear is established. …”
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Coal Reservoir Characterization in a Tectonic Setting and the Effects of Tectonism on the Coalbed Methane (CBM) Content by Zhenni Ye, Enke Hou, Zhonghui Duan, Zengjiang Li

“…The correlation dimension is an effective indicator of the nonlinear relationship between reservoir micropore-microfracture characteristics and the gas content.…”
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Kinematics and Transmission Performance Analyses of a 2T2R Type 4-DOF Spatial Parallel Manipulator by Haiyan An, Bin Li, Shoujun Wang, Weimin Ge

“…For the inverse position analysis, the explicit expression can be obtained from the independent motion parameters of the given mechanism, and the forward position problem is solved by calculating a set of nonlinear equation systems. Then we obtained the workspace of the mechanism based on the analytic formulae of the inverse displacement. …”
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A New Theoretical Method for Solving Forward Kinematics of the Parallel Mechanisms Based on Transfer Matrix by Jin Wang, Zijian Jing, Junli Guo, Tao Qin, Han Li, Xin Li, Zhenchuang Li, Fanhui Meng, Bo Qi

“…While the existing inverse kinematics solution theory is comprehensive, developing a forward solution model is challenging due to the nonlinear nature of the attitude equation. To address this issue, a new method based on the transfer matrix approach is proposed in this research to calculate the forward kinematics of parallel mechanisms. …”
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A local meshless radial basis functions based method for solving fractional integral equations by Mehdi Radmanesh, Mohammad Ebadi

“…To demonstrate the effectiveness of the LRBFCM, the paper provides test problems encompassing linear, nonlinear, Volterra, and Fredholm types of Fractional Integral Equations (FIEs). …”
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Research on language recognition algorithm based on improved CFCC feature extraction by Hua LONG, Zhangheng HUANG, Yubin SHAO, Qingzhi DU, Shumeng SU

“…Aiming at the problem of low language recognition rate under low signal-to-noise ratio, a language recognition method based on fractional wavelet transform was proposed.Firstly, the adaptive filtering algorithm was used to filter the noise of the noisy signal, so as to reduce the influence of noise on the feature extraction and improve the processing ability of the system for non-stationary signals.Secondly, the motion of the signal on the basilar membrane of the cochlea was simulated, and then the signal was compressed by a nonlinear power function.Finally, the improved CFCC were extracted by simulating the human hearing process.Experiments show that compared with the traditional CFCC, the language recognition rate is significantly improved, and the language recognition rate is increased by 11.1% on average under the 0 dB signal-to-noise ratio, which verifies the effectiveness and robustness of the proposed algorithm.…”
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Fuel Costs Minimization on a Steel Billet Reheating Furnace Using Genetic Algorithms by Harley S. O. Santos, Paulo E. M. Almeida, Rodrigo T. N. Cardoso

“…In this study, the operation of a reheating furnace is modeled as a nonlinear optimization problem with the goal of minimizing fuel cost while satisfying a desired discharge temperature. …”
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An Analytical Optimisation Framework for Airport Terminal Capacity Expansion by Sultan Alodhaibi, Robert L. Burdett, Prasad K. D. V. Yarlagadda

“…As this model is stochastic and nonlinear, a Simulated Annealing (SA) metaheuristic was implemented and tested. …”
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Efficient optimisation of physical reservoir computers using only a delayed input by Enrico Picco, Lina Jaurigue, Kathy Lüdge, Serge Massar

“…The experimental system is an optoelectronic setup based on a fiber delay loop and a single nonlinear node. It is tested on several benchmark tasks and reservoir operating conditions. …”
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Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method by Chun-Mei Yu, Dang-Jun Zhao, Ye Yang

“…The Chebyshev-Gauss Legend (CGL) node points are used to transcribe the original dynamic constraint into algebraic equality constraint; therefore, a nonlinear programming (NLP) problem is concave and time-consuming to be solved. …”
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Stability, Multistability, and Complexity Analysis in a Dynamic Duopoly Game with Exponential Demand Function by Hui Li, Wei Zhou, Tong Chu

“…In this paper, a discrete-time dynamic duopoly model, with nonlinear demand and cost functions, is established. …”
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Exp-Function Method for a Generalized MKdV Equation by Yuzhen Chai, Tingting Jia, Huiqin Hao, Jianwen Zhang

“…The method constructing soliton solutions in this paper may be useful for the investigations on the other nonlinear mathematical physics model and the conclusions of this paper can give theory support for the study of dynamic features of models in the shallow water.…”
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