Back Analysis of Rock Hydraulic Fracturing by Coupling Numerical Model and Computational Intelligent Technology by Shaojun Li, Hongbo Zhao, Xiating Feng, Quan Jiang, Qiancheng Sun

“…A multioutput support vector machine is used to map the complex, nonlinear relationship between the in situ stress, elastic parameters, and borehole pressure. …”
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A Ship Collision Analysis Program Based on Upper Bound Solutions and Coupled with a Large Rotational Ship Movement Analysis Tool by Hervé Le Sourne, Nicolas Besnard, Cedric Cheylan, Natacha Buannic

“…Some simulation results are compared with results provided by classical nonlinear finite element calculations. Finally, by using the developed analytical tool, which mixes internal and external dynamics, different crushing scenarios including oblique collisions are investigated and the influence of some collision parameters like longitudinal and vertical impact location, impact angle, and struck ship velocity is studied.…”
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Mobile Target Tracking Based on Hybrid Open-Loop Monocular Vision Motion Control Strategy by Cao Yuan, Ma Lianchuan, Weigang Ma

“…Due to the properties of the particle filter, the method can effectively master the motion behaviors of the linear and nonlinear. In addition, the method uses the simple mathematical operation to transfer the image information in the mobile target to its real coordinate information. …”
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Crumbling of Amatrice clock tower during 2016 Central Italy seismic sequence: Advanced numerical insights by Francesco Clementi, Gabriele Milani, Angela Ferrante, Marco Valente, Stefano Lenci

“…Afterward, different values have been assigned to the friction coefficient of the models and real seismic shocks have been applied in the nonlinear analyses. The major purpose of this study is to highlight that relevant data on the real structural behaviour of historical masonry can be provided through advanced numerical analyses. …”
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Synchronous Stability of Four Homodromy Vibrators in a Vibrating System with Double Resonant Types by Xueliang Zhang, Chao Li, Zhihui Wang, Shiju Cui

“…It is shown that the phase differences among four vibrators in the subresonant state are stabilized about zero, and exciting forces of four vibrators are positively superposed, while in the superresonant one, the phenomenon of the diversity of the nonlinear system occurs, i.e., two groups of synchronous and stable solutions of the phase differences (pi and pi/2) are found, and in this case, the exciting forces of four vibrators are counteracted, the rigid frame embodies no vibration, and the minimum of dynamic load transferring to foundation is realized. …”
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Modeling Femtosecond Beam Propagation in Dielectric Hollow-Core Waveguides by Valer Tosa, Ana Maria Mihaela Gherman, Katalin Kovacs, István Tóth

“…The propagation of femtosecond pulses in guided structures is a matter of both fundamental and practical interest in nonlinear optics. In particular, hollow-core waveguides (HCWs) filled with a gas medium are fabricated and used as devices for the generation of attosecond pulses from high-order harmonics. …”
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Empirical Mode Decomposition and Neural Networks on FPGA for Fault Diagnosis in Induction Motors by David Camarena-Martinez, Martin Valtierra-Rodriguez, Arturo Garcia-Perez, Roque Alfredo Osornio-Rios, Rene de Jesus Romero-Troncoso

“…In this work, a novel digital structure to implement the empirical mode decomposition (EMD) for processing nonstationary and nonlinear signals using the full spline-cubic function is presented; besides, it is combined with an adaptive linear network (ADALINE)-based frequency estimator and a feed forward neural network (FFNN)-based classifier to provide an intelligent methodology for the automatic diagnosis during the startup transient of motor faults such as: one and two broken rotor bars, bearing defects, and unbalance. …”
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Numerical analysis of repaired wall loss defect pipelines for optimum composite wrap thickness by Muhammed Khaise, Silvio de Barros, Ney Rohem, Maria Banea, Sandip Budhe

“…An optimization of composite thickness for repair of wall loss defect pipeline is also carried out using numerical analysis. A nonlinear explicit FE code with constitutive models for metallic steel and composite material to failure modelling was used. …”
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Signal Feature Extraction and Quantitative Evaluation of Metal Magnetic Memory Testing for Oil Well Casing Based on Data Preprocessing Technique by Zhilin Liu, Lutao Liu, Jun Zhang

“…In the meantime, characteristic parameters in new diagnostic approach are put forward to ensure the reliable determination of casing danger level through least squares support vector machine (LS-SVM) and nonlinear quantitative mapping relationship. The effectiveness and feasibility of this method are verified through experiments.…”
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Prediction of Gas Chromatography-Mass Spectrometry Retention Times of Pesticide Residues by Chemometrics Methods by Elaheh Konoz, Amir H. M. Sarrafi, Alireza Feizbakhsh, Zahra Dashtbozorgi

“…Results obtained the reliability and good predictability of nonlinear QSRR model to predict the retention time of pesticides.…”
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Study on Lateral Deformation and Failure Characteristics of Coal Based on Different Confining Pressures by Jian-jun Ren, Shan-Yang Wei, Shi-Hai Shu, Wei-Dong Luo

“…Based on the field verification, we proposed that the lateral strain during the coal failure and the nonlinear region of the lateral axis ratio changing with time can be used as potential parameters for predicting the coal failure.…”
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Green Supply Chain Network Design with Economies of Scale and Environmental Concerns by Dezhi Zhang, Fangzi Zou, Shuangyan Li, Lingyun Zhou

“…The study aims to obtain a rational tradeoff between environmental influence and total cost. A mixed-integer nonlinear programming model is developed to determine the optimal location and size of regional distribution centers (RDCs) and the investment of environmental facilities considering the effects of economies of scale and CO2 emission taxes. …”
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Construction and Application of Recognition Model for Black-Odorous Water Bodies Based on Artificial Neural Network by Zhonghua Xu, Changguo Dai, Jing Wang, Lejun Liu, Lei Jiang

“…Artificial neural network (ANN), a widely used data-driven model, can accurately identify nonlinear relationships in the water environment. In this paper, a recognition model for black-odorous water bodies based on ANN was established to directly identify the sensory description of water bodies. …”
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Shaking Table Test Investigation on Seismic Performance of Joint Model of Immersed Tunnel by Xueming Zhang, Linlin Song, Hongjuan Chen, Shicai Chen, Zhinan Hu, Yong Li

“…The soil around the tunnel was simplified as spring-damper, the tunnel was simplified as beam element, and the joint was simulated by nonlinear spring. The numerical simulation results were in good agreement with the experimental data. …”
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Policy and Law Assessment of COVID-19 Based on Smooth Transition Autoregressive Model by Jieqi Lei, Xuyuan Wang, Yiming Zhang, Lian Zhu, Lin Zhang

“…Our model well fits the data. Moreover, the nonlinear smooth function within the STAR model reveals that the implementation of prevention and control policies is effective in some regions with different speeds. …”
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Observational Study of Recurrent Jets: Evolution of Magnetic Flux, Current, and Helicity by Chang Zhou, Yang Guo, Guoyin Chen, Ye Qiu, M.D. Ding

“…The magnetic field derived from the nonlinear force-free field (NLFFF) model suggests a topology akin to a fan–spine structure, consistent with AIA images. …”
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Error Signal Differential Term Feedback Enhanced Variable Step Size FxLMS Algorithm for Piezoelectric Active Vibration Control by Weiguang Li, Wei Wang, Bin Li, Zhichun Yang

“…In this paper, a new DVSFxLMS (error signal Differential term feedback Variable Step size FxLMS) algorithm is proposed by establishing nonlinear function between μ and error signal, while using differential term of the error signal as the feedback control function. …”
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Exploration of Soliton Solutions to the Special Korteweg–De Vries Equation with a Stability Analysis and Modulation Instability by Abdulrahman Alomair, Abdulaziz S. Al Naim, Ahmet Bekir

“…This work shows that the methods used are simple and fruitful for investigating the results for other nonlinear partial differential models.…”
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A Study Using the Network Simulation Method and Nondimensionalization of the Fiber Fuse Effect by Juan Francisco Sanchez-Pérez, Joaquín Solano-Ramírez, Fulgencio Marín-García, Enrique Castro

“…The results highlight the effectiveness of the NSM in solving nonlinear and coupled problems in thermal engineering, providing a solid framework for future research in the optimisation of optical communication systems.…”
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Performance Comparison of Mode Choice Optimization Algorithm with Simulated Discrete Choice Modeling by Hyuk-Jae Roh, Satish Sharma, Prasanta K. Sahu, Babak Mehran

“…The golden section method (GSM) incorporates a nonlinear programming technique to choose an optimal step size automatically. …”
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