Research on NOFRF Entropy-Based Detection Method for Early Damage of Pillar Porcelain Insulator by Hanling Mao, Weili Tang, Yingxiang Huang, Hanying Mao, Zhenfeng Huang, Xinxin Li

“…Small damage of it may even cause a disaster. Nonlinear output frequency response functions (NOFRFs) can well reflect the nonlinear characteristics of early damage in the system. …”
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Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation by Yueling Cheng, Siyuan Hong, Shujun Yang, Xu Chi, Jinghao Yang

“…These solutions are of great significance for revealing the nonlinear interaction between two long waves with different dispersion effects. …”
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Application of LCD-SVD Technique and CRO-SVM Method to Fault Diagnosis for Roller Bearing by Songrong Luo, Junsheng Cheng, HungLinh Ao

“…Targeting the nonlinear and nonstationary characteristics of vibration signal from fault roller bearing and scarcity of fault samples, a novel method is presented and applied to roller bearing fault diagnosis in this paper. …”
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Numerical Study of Wave- and Current-Induced Oscillatory Seabed Response near a Fully Buried Subsea Pipeline by Lunliang Duan, Meiling Fan, Duoyin Wang, Caixia Meng, Lei Xing

“…Different from previous studies, both the wave-current interaction and the nonlinear pipeline-soil contacts are considered in the present model. …”
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Torsional Vibration of a Shafting System under Electrical Disturbances by Ling Xiang, Shixi Yang, Chunbiao Gan

“…Torsional vibration responses of a nonlinear shafting system are studied by a modified Riccati torsional transfer matrix combining with the Newmark-β method. …”
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Analysis of Vibroacoustic Modulations for Crack Detection: A Time-Frequency Approach Based on Zhao-Atlas-Marks Distribution by A. Trochidis, L. Hadjileontiadis, K. Zacharias

“…The vibro-acoustic modulation (VAM) technique is probably the most widely used nonlinear method for crack detection. The VAM method is based on the effect of modulation of high-frequency acoustic waves by a low-frequency vibration. …”
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Stability of a Noncanonical Scalar Field Model during Cosmological Date by Z. Ossoulian, T. Golanbari, H. Sheikhahmadi, Kh. Saaidi

“…A special solution of the nonlinear field equations of ϕ that has time dependency as fixed point is obtained. …”
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Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation by ALI TOZAR, Orkun Taşbozan, ALI KURT

“…In this study, triangular soliton, bell shaped solitary wave and kink shaped solitary wave solutions were obtained by applying the functional variable method to the nonlinear Heisenberg spin chain equation for a cubic lattice crystal.…”
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Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique by Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh

“…The main aim of this work is to present the analytical approximate series for the nonlinear Caputo fractional KdV-Burgers equation by applying the Laplace residual power series method. …”
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Numerical and Experimental Study of Friction Damping Blade Attachments of Rotating Bladed Disks by D. Charleux, C. Gibert, F. Thouverez, J. Dupeux

“…An efficient multiharmonic balance method is proposed in order to compute the forced response of bladed disks with contact and friction nonlinearities in blade roots. For experimental validation purposes, a rotating bladed disk was tested in a vacuum chamber, with excitation being provided by piezoelectric actuators. …”
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Modeling and Simulation of Control Actuation System with Fuzzy-PID Logic Controlled Brushless Motor Drives for Missiles Glider Applications by Murali Muniraj, Ramaswamy Arulmozhiyal

“…The proposed system will realize better rise time and less overshoot while operating in extreme nonlinear dynamic system conditions. A mathematical model of BLDC motor is derived in state space form. …”
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Classification of Layers Using Artificial Neural Networks in the Province of Kurdistan (Iran) by Semko Arefpanah, Alireza Sharafi, Alireza Gholamian

“…Neural networks are particularly useful in civil engineering, particularly in geotechnical problems, where soil heterogeneity and nonlinear behavior significantly impact geotechnical phenomena. …”
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Seismic Waveform Inversion Using the Finite-Difference Contrast Source Inversion Method by Bo Han, Qinglong He, Yong Chen, Yixin Dou

“…The contrast source inversion method is a nonlinear iterative method that alternatively reconstructs contrast sources and contrast function. …”
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Optimized Direct Padé and HPM for Solving Equation of Oxygen Diffusion in a Spherical Cell by M. A. Sandoval-Hernandez, H. Vazquez-Leal, A. Sarmiento-Reyes, U. Filobello-Nino, F. Castro-Gonzalez, A. L. Herrera-May, R. A. Callejas-Molina, R. Ruiz-Gomez

“…This work presents the application of homotopy perturbation method (HPM) and Optimized Direct Padé (ODP) to obtain a handy and easily computable approximate solution of the nonlinear differential equation to model the oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. …”
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Disturbance Rejection in a One-Half Semiactive Vehicle Suspension by means of a Fuzzy-H∞ Controller by L. C. Félix-Herrán, Driss Mehdi, José de Jesús Rodríguez-Ortiz, Victor H. Benitez, Ricardo A. Ramirez‐Mendoza, Rogelio Soto

“…The herein contribution resides in the development and computation of an H∞ controller with parallel distributed compensation (PDC) designed from a highly nonlinear system modelled via the Takagi–Sugeno (T-S) fuzzy approach. …”
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A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network by Ran Wang, Chunbiao Li, Serdar Çiçek, Karthikeyan Rajagopal, Xin Zhang

“…An amplitude controllable hyperjerk system is constructed for chaos producing by introducing a nonlinear factor of memristor. In this case, the amplitude control is realized from a single coefficient in the memristor. …”
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Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces by Kazimierz Włodarczyk, Robert Plebaniak

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A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems by Brahim Benhammouda

“…To demonstrate the efficiency of the MSPSM and show its applicability, an index-3 nonlinear DAE problem describing a two-link planar robot arm is solved. …”
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Analysis of Metallic Nanoparticles (Cu, Al2O3, and SWCNTs) on Magnetohydrodynamics Water-Based Nanofluid through a Porous Medium by P. K. Pattnaik, S. K. Parida, S. R. Mishra, M. Ali Abbas, M. M. Bhatti

“…To formulate the mathematical modelling, similarity transformations were used, and nonlinear differential equations were obtained. To solve the formulated nonlinear differential equations, the Runge–Kutta fourth-order numerical scheme is used in conjunction with the shooting technique. …”
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Hydraulic and Mechanical Relationship of Individual Fracture in Rock under Compression and Shearing: Theoretical Study by Zhiqiang Zhou, Yu Zhao, Chaolin Wang

“…Considering that the closure process of rough fracture subjected to normal stress can be divided into two phases (linear behavior and nonlinear behavior), a relationship between normal stress and fracture aperture is derived through the minimum potential energy principle. …”
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