Study on Fatigue Performance of Nylon Worm Gear Under Multiple Working Condition based on RecurDyn by Jianfei Chen, Fan Yang, Shulin Wang

“…The main failure mode in automobile steering system is the bending fatigue failure of the tooth root of nylon worm gear， based on Hertz contact theory and incremental finite element method based on corotational coordinate method， the worm and worm gear nonlinear transient dynamics model is built in multibody dynamics software RecurDyn， and according to the test requirements of loading conditions， the stress analysis and fatigue life analysis is carried out in the software， the nylon worm gear tooth root in each loading condition of transient stress value can be accurately got， then the nylon worm gear fatigue life in the corresponding time process is studied. …”
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A Vieta–Lucas collocation and non-standard finite difference technique for solving space-time fractional-order Fisher equation by Mohd Kashif

“…By using the properties of Vieta–Lucas polynomials, this technique reduces the nonlinear equations into a system of ordinary differential equations (ODEs). …”
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An exact approach to calibrating infectious disease models to surveillance data: The case of HIV and HSV-2 by David J. Gerberry

“…The technique is able to match surveillance data to high accuracy in a very efficient manner as it is based on the Newton-Raphson method for solving nonlinear systems. To demonstrate its robustness, we use the calibration technique on multiple models for the interacting dynamics of HIV and HSV-2.…”
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Physics-Informed Neural Network-Based Input Shaping for Vibration Suppression of Flexible Single-Link Robots by Tingfeng Li, Tengfei Xiao

“…The vibration suppression of flexible robotic arms is challenging due to their nonlinear spatiotemporal dynamics. This paper presents a novel physics-informed neural network (PINN)-based input-shaping method for the vibration suppression problem. …”
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Selecting the objective function during the inverse identification of the parameters of a material model of concrete by F. Hokes, J. Kala

“…The validity of this condition is also required when optimization algorithms are needed for the inverse identification of the unknown parameters of nonlinear material models of concrete, where experimentally measured load-displacement curves can be conveniently applied. …”
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On Semianalytical Study of Fractional-Order Kawahara Partial Differential Equation with the Homotopy Perturbation Method by Muhammad Sinan, Kamal Shah, Zareen A. Khan, Qasem Al-Mdallal, Fathalla Rihan

“…We have demonstrated that He’s approach is highly effective and powerful for the solution of such a higher-order nonlinear partial differential equation through our calculations and simulations. …”
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Construction and application of a quantitative efficiency assessment model for green AI in intelligent customer service systems by MA Xiaoliang, LIU Ying, ZHAO Ruqiang, YANG Bangxing, GAO Jie, DENG Congjian

“…Furthermore, by employing the nonlinear least squares method, model parameters were derived. …”
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Upscaling Strategies of Porosity-Permeability Correlations in Reacting Environments from Pore-Scale Simulations by Nikolaos I. Prasianakis, Michael Gatschet, Aida Abbasi, Sergey V. Churakov

“…Such correlations follow a nonlinear trend, which is difficult to estimate a priori and without knowledge of the microstructure itself, especially under the presence of strong chemical gradients. …”
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Differential Calculus on N-Graded Manifolds by G. Sardanashvily, W. Wachowski

“…This fact enables us to extend the differential calculus on N-graded manifolds to formalism of nonlinear differential operators, by analogy with that on smooth manifolds, in terms of graded jet manifolds of N-graded bundles.…”
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Neutrosophic Number Optimization Models and Their Application in the Practical Production Process by Angyan Tu, Jun Ye, Bing Wang

“…Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. …”
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Investigation of Mode I fracture toughness of red Verona marble after thermal treatment by Daniela Scorza, Andrea Carpinteri, Giovanni Fortese, Sabrina Vantadori, Daniele Ferretti, Roberto Brighenti

“…Such a method is able to take into account the slow nonlinear crack growth occurring before the peak load, typical of quasi-brittle materials, with the advantage of easy specimen preparation and simple test configuration. …”
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CFA-Based Splicing Forgery Localization Method via Statistical Analysis by Lei Liu, Peng Sun, Yubo Lang, Jingjiao Li

“…However, interpolation algorithms commonly used in digital cameras are nonlinear, and their coefficients vary with content to enhance edge information. …”
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Modeling and Analysis of Unsteady Casson Fluid Flow due to an Exponentially Accelerating Plate with Thermal and Solutal Convective Boundary Conditions by Mehari Fentahun Endalew, Subharthi Sarkar

“…The scientific community will benefit greatly from this work since the findings can serve as benchmark solutions using numerical approaches to solve fully nonlinear flow governing problems.…”
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High-Order Breather Solutions, Lump Solutions, and Hybrid Solutions of a Reduced Generalized (3 + 1)-Dimensional Shallow Water Wave Equation by Jing Wang, Biao Li

“…We investigate a reduced generalized (3 + 1)-dimensional shallow water wave equation, which can be used to describe the nonlinear dynamic behavior in physics. By employing Bell’s polynomials, the bilinear form of the equation is derived in a very natural way. …”
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Shaping Single Offset Reflector Antennas Using Local Axis-Displaced Confocal Quadrics by Rafael A. Penchel, José R. Bergmann, Fernando J. S. Moreira

“…This work investigates a novel numerical procedure for the solution of an exact formulation for the Geometrical Optics synthesis of a single reflector antenna by simultaneously imposing Snell’s Law and Conservation of Energy in a tube of rays, yielding a second-order nonlinear partial differential equation of Monge-Ampère type, which can be solved as a boundary value problem. …”
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Fault Diagnosis of Gearbox Multi-channel Vibration Signal based on Improved Multivariate Multiscale Dispersion Entropy by Fuming Zhou, Jinxing Shen, Xiaoqiang Yang, Wuqiang Liu, Xiaolin Liu

“…When the gearbox fails， its vibration signal is unstable and nonlinear. The commonly applied gearbox fault diagnosis methods are almost all based on the single-channel vibration signal analysis，which is easy to cause the loss of fault information，so the practicality in industrial production is limited. …”
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An Elitist Transposon Quantum-Based Particle Swarm Optimization Algorithm for Economic Dispatch Problems by Angus Wu, Zhen-Lun Yang

“…It is a complex and highly nonlinear constrained optimization problem. The proposed approach, double elitist breeding quantum-based particle swarm optimization (DEB-QPSO), makes use of two elitist breeding strategies to promote the diversity of the swarm so as to enhance the global search ability and an improved efficient heuristic handling technique to manage the equality and inequality constraints of ED problems. …”
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Mobility aware edge service migration strategy by Dapeng WU, Ji LYU, Zhidu LI, Ruyan WANG

“…To address the problem of load imbalance among edge servers and quality of service degradation caused by dynamic changes of user locations in mobile edge computing networks,a mobility aware edge service migration algorithm was proposed.Firstly,the optimization problem was formulated as a mix integer nonlinear programming problem,with the goal of minimizing the perceived delay of user service request.Then,the delay optimization problem was decoupled into the edge service migration and edge node selection sub-problems based on the Lyapunov optimization approach.Thereafter,the fast edge decision algorithm was proposed to optimize the resource allocation and edge service migration under a given radio access strategy.Finally,the asynchronous optimal response algorithm was proposed to iterate out the optimal radio access strategy.Simulation results validate the proposed algorithm can reduce the perceived delay under the service migration cost constraint while comparing with other existing algorithms.…”
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Research of Lurication Characteristic of Mechanical Parts in Higher Pair Contact based on Longitudinal Roughness Texture by Feng Nan, Qi Xiumei, Gao Chuangkuan

“…With the help of the nonlinear Fourier transform,the measured data is used to form a roughness function which is then added to the oil film thickness equation and a model of mixed Elastohydrodynamic lubrication for a pair of mechanical parts in higher pair contact is established. …”
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Fault Diagnosis of Gearbox based on Multi-fractal and PSO-SVM by Li Sha, Pan Hongxia, Zhang Jundong, Zhao Weiwei

“…Aiming at the non-stationary and nonlinear of gearbox vibration signals,a fault diagnosis method based on the multi-fractal and particle swarm optimization support vector machine（PSO-SVM）is put forward.Firstly,the fractal filter with short-time fractal dimension as fuzzy control parameters is used to filtering noise reduction the gearbox vibration signals with bigger background noises.Secondly,the multi-fractal spectrum algorithm is applied to analyze the signal after filtering,the results show that the characteristic parameters:Δa（q）、f（a（q））maxand box dimensions Dbcan give a good presentation for gearbox working condition.Finally,the particle swarm optimization（PSO）is applied to optimize the parameters of support vector machine（SVM）.Taking the multi-fractal characteristic vectors as input parameters of PSO-SVM and SVM to recognize the fault types of the gearbox.The results show that SVM based on particle swarm optimization can improve the classification accuracy.Meanwhile,the validity of gearbox fault diagnosis based on muti-fractal and PSO-SVM is proved.…”
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