Pull-In and Snap-Through Analysis of Electrically Actuated Viscoelastic Curved Microbeam by Ehsan Akrami-Nia, Hamid Ekhteraei-Toussi

“…By applying the Galerkin method, the obtained governing equation is discretized, converted to a nonlinear differential equation, and solved by MATLAB software. …”
Get full text

A 50-spin surface acoustic wave Ising machine by Artem Litvinenko, Roman Khymyn, Roman Ovcharov, Johan Åkerman

“…Abstract Time-multiplexed spinwave Ising Machines have unveiled a route towards miniaturized and low-cost combinatorial optimization solvers but are constrained in the number of spins by nonlinear spinwave dispersion. In contrast, surface acoustic waves offer an intrinsically linear dispersion and high thermal stability. …”
Get full text

Adaptive-mutation Whale Optimization Algorithm for Flood Control Operation of Reservoir Groups by GONG Jintai, FENG Zhongkai, WANG Sen, JIA Wenhao

“…Flood control operation of reservoir groups is a complex nonlinear optimization problem involving multiple dimensions,variables,and stages,and plays a vital role in developing efficient and stable methods to enhance the overall flood control capacity of river basins.Whale optimization algorithm (WOA) is an innovative evolutionary algorithm inspired by whale predation behaviors.However,when it is employed to solve flood control operation,problems of premature convergence and proneness to fall into local optimum will occur.To this end,this paper proposes an adaptive-mutation whale optimization algorithm (AWOA) for solving the flood control operation of reservoir groups.In AWOA,an enhanced chaotic strategy is adopted to ensure the dispersion and uniformity of the initial operation scheme.Secondly,a reverse oscillation mutation strategy is utilized to enhance the global search ability.Finally,an adaptive weight strategy is leveraged to realize local fine exploration.Classical test functions and typical operation scenarios in West River show that the proposed method has significant peak shaving effects under various scenarios.With a fast convergence rate and high search accuracy,AWOA provides a novel and practical method for solving the flood control operation of reservoir groups.…”
Get full text

Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model by Shuo Li, Nasir Hussain, Ihsan Ullah Khan, Amjid Hussain, Shewafera Wondimagegnhu Teklu

“…The basic reproduction number is obtained which is a key factor in defining the nonlinear dynamics of biological and physical obstacles in the study of mathematical models of COVID-19 disease. …”
Get full text

Schrödinger–Hardy system without the Ambrosetti–Rabinowitz condition on Carnot groups by Wenjing Chen, Fang Yu

“…The difficulty is not only the nonlinearities $F_u$ and $F_v$ without Ambrosetti–Rabinowitz condition, but also the Hardy terms and the structure on Carnot groups. …”
Get full text

Complexity of Deep Convolutional Neural Networks in Mobile Computing by Saad Naeem, Noreen Jamil, Habib Ullah Khan, Shah Nazir

“…Neural networks employ massive interconnection of simple computing units called neurons to compute the problems that are highly nonlinear and could not be hard coded into a program. …”
Get full text

L'éducation à la santé et la formation personnelle du futur enseignant by Olena Momot, Serhii Novik, Yevheniia Shostak, Olena Zhdanova-Nedilko

“…The research model helps to improve the process of educating a future teacher's personality in terms of creating a health-preserving environment of higher education, is able apply to creatively acquired healthpreserving knowledge, skills and abilities in practice as well as to find, process, analyze, use information independently, think nonlinearly, use modern content in future teacher's activities, methods of education, technologies, pedagogical techniques, acquire the necessary personal qualities, selfchange and strive for continuous self-improvement. …”
Get full text

Dynamics Modeling and Inherent Vibration Characteristic Analysis of Multi-motor Parallel Drive-transmission System by Li Liu, Ruizhi Shu, Jin Huang, Rulong Tan, Benyuan Fu

“…In order to understand the inherent vibration characteristics of multi-motor parallel drive-transmission system， and reveal the influence of system stiffness parameters on its natural frequency， considering the nonlinear factors such as time-varying meshing stiffness and messing error， the coupling dynamics model of multi-motor parallel drive-transmission system is established by using lumped-mass method. …”
Get full text

Fault Diagnosis Approach of Gear based on Two Features and Least Squares Support Vector Machine by Qin Bo, Yang Yunzhong, Chen Min, Guo Wei, Liu Yongliang, Wang Jianguo

“…Aiming at the Gear vibration signals have the nonlinear and non-stationary characteristics,to avoid the disadvantages of traditional time and frequency domain method in the characterization of the state of equipment and failure identification model "less learning"problem caused by small sample size,the gearbox fault diagnosis method based on kurtosis and intrinsic mode function（ IMF） energy feature and least squares support vector machine（ LS-SVM） is proposed. …”
Get full text

Design and Analysis of FOPID-Based Damping Controllers Using a Modified Grey Wolf Optimization Algorithm by Manoj Kumar Kar, Sanjay Kumar, Arun Kumar Singh, Sibarama Panigrahi, Murthy Cherukuri

“…Additionally, fractional-order PID (FOPID) controller is used to handle the system nonlinearities and thus achieve better performance. The control parameters are tuned using the proposed MGWOA method which has been verified on unimodal and multimodal functions. …”
Get full text

Implementing the Galerkin Method Associated with the Shifted Vieta-Lucas Polynomials for Studying Numerically the Bionanofluid Flow Which Is Saturated by Gyrotactic Microorganisms... by M. M. Khader, M. M. Babatin, Ahmed M. Megahed, A. Eid

“…The shifted Vieta-Lucas polynomials are then used as basis functions on the provided domain to solve the nonlinear system of ordinary differential equations that has been constructed (ODEs). …”
Get full text

Global bifurcation of positive solutions for a superlinear $p$-Laplacian system by Lijuan Yang, Ruyun Ma

“…We obtain the principal eigenvalue of $(P)$ by using a nonlinear Krein–Rutman theorem and the unbounded branch of positive solutions for $(Q)$ via bifurcation technology.…”
Get full text

Structural restoration of a historic palace in Italy by Paolo Foraboschi

“…The discussion also emphasizes the often-overlooked limitations of material testing in accurately assessing masonry strength and delves into the critical impact of material and geometric nonlinearities on maximum stress levels – issues that remain underexplored in the existing literature.…”
Get full text

The Lagrangian and Hamiltonian for the Two-Dimensional Mathews-Lakshmanan Oscillator by Wang Guangbao, Ding Guangtao

“…The purpose of this paper is to illustrate the theory and methods of analytical mechanics that can be effectively applied to the research of some nonlinear nonconservative systems through the case study of two-dimensionally coupled Mathews-Lakshmanan oscillator (abbreviated as M-L oscillator). (1) According to the inverse problem method of Lagrangian mechanics, the Lagrangian and Hamiltonian function in the form of rectangular coordinates of the two-dimensional M-L oscillator is directly constructed from an integral of the two-dimensional M-L oscillators. (2) The Lagrange and Hamiltonian function in the form of polar coordinate was rewritten by using coordinate transformation. (3) By introducing the vector form variables, the two-dimensional M-L oscillator motion differential equation, the first integral, and the Lagrange function are written. …”
Get full text

Elastic-plastic fracture analysis of pressure pipelines with axial cracks based on the interaction integral method. by Qi Song, Huifen Peng, Junyu Yao, Min Luo

“…Moreover, the relative error between the Stress Intensity Factors (SIF) before and after plastic correction exhibits nonlinear growth in response to increasing internal pressure within the pipeline. …”
Get full text

Modeling for Micro Traffic Flow with the Consideration of Lateral Vehicle’s Influence by Da-wei Liu, Zhong-ke Shi, Wen-Huan Ai

“…By using of linear stability analysis, stability conditions of improved car-following models are obtained. Nonlinear analysis is carried out to investigate the traffic performances near the critical point. …”
Get full text

Partitioning Control Mechanism and Engineering Practice of Rebuilding Bearing Arch in Surrounding Rock under High Ground Stress by Mengtang Xu, Ke Li, Youlin Xu

“…The tensile stress and shear stress of RBA increase linearly with the overburden load increase and increase sharply with the load-bearing arch’s thickness, showing a nonlinear relationship. To maintain the surrounding rock’s stability, it is necessary to ensure that the RBA’s thickness is within a specific range. …”
Get full text

A Stress-Strain Model for Unconfined Concrete in Compression considering the Size Effect by Keun-Hyeok Yang, Yongjei Lee, Ju-Hyun Mun

“…In addition, in stress-strain relationship, a strain at the maximum stress was formulated as a function of compressive strength considering the size effect using the nonlinear regression analysis of data records compiled from a wide variety of specimens. …”
Get full text

HIGH-SPEEP ROLLING BEARING-DUAL ROTOR SPINDLE SYSTEM NUMERICAL SIMULATION ANALYSIS OF DISCRETE MODELING DYNAMICS by LI YunLong, TANG ZhiYu

“…The results shows that:（ 1） Due to the influence of nonlinear characteristics of the system,the system responds to multiples and combined frequencies of the excitation frequency under multi-frequency coupling excitation,the system vibration response is extremely complex.（ 2） The change of the radial clearance of the intermediate roller bearing has a certain influence on the system response,the effect on the response of the supporting bearing is small,and the small clearance can reduce the response displacement of the center of the intermediate bearing and the rotor system,so that the system tends to be stable.（ 3） Properly increasing the number of supporting bearing rolling elements reduces the response of the supporting bearing and rotor center,and the system stability also increases.（ 4） The general trend of the simulation curve is the same as the experimental data but not fully in agreement,and the result has some errors（ the error is about 15. 6%）. …”
Get full text

EXPERIMENT AND SIMULATION STUDY ON THE EFFECT OF Z-PIN REINFORCED ON THE PULL-OFF AND SHEAR CARRYING CAPACITY OF FIBER PLACEMENT COMPOSITE T-JOINTS by LIU Ji, XU XiWu

“…The interface failure was simulated with cohesive zone model,and the effect of Z-pin was simulated with nonlinear springs inserted into the interface. The numerical results agree well with the test data and shows that the model is effective.…”
Get full text