Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source by Moli Zhao, Qiangyong Zhang, Shaowei Wang

“…The linear analysis is obtained using the normal mode technique, and the nonlinear analysis of the system is studied with the help of truncated representation of Fourier series. …”
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A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment by Qingying Wang, Hongxia Ge, Rongjun Cheng

“…Then, the mKdV equation near the critical point can be obtained by applying nonlinear analysis, which describes the traffic jams according to the kink-antikink density waves. …”
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An Investigation on the Nonlinear Free Vibration Analysis of Beams with Simply Supported Boundary Conditions Using Four Engineering Theories by R. A. Jafari-Talookolaei, M. H. Kargarnovin, M. T. Ahmadian, M. Abedi

“…The results of nonlinear analysis are validated with the published results, and excellent agreement is observed. …”
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Driver’s Anticipation and Memory Driving Car-Following Model by Ammar Jafaripournimchahi, Lu Sun, Wusheng Hu

“…Linear and nonlinear stability analyses are both applied to study the linear and nonlinear stability conditions of the new model. Through nonlinear analysis a modified Korteweg-de Vries (mKdV) equation was constructed to describe traffic flow near the traffic near the critical point. …”
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Linear and Nonlinear Dynamic Analyses of Sandwich Panels with Face Sheet-to-Core Debonding by Vyacheslav N. Burlayenko, Tomasz Sadowski

“…The influences of debonding size, form, and location and number of such damage incidents on the modal characteristics of sandwich panels are shown. For nonlinear analysis, models based on implicit and explicit time integration schemes are presented and dynamic responses gained with those models are discussed. …”
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Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications by Gonca Durmaz, Gülhan Mınak, Ishak Altun

“…Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the concept of α-admissible maps on metric spaces. …”
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Chaotic Power System Stabilization Based on Novel Incommensurate Fractional-Order Linear Augmentation Controller by Abdul-Basset A. Al-Hussein, Fadhil Rahma Tahir, Karthikeyan Rajagopal

“…The nonlinear dynamics of an incommensurate fractional-order single-machine infinite-bus (SMIB) power system benchmark model are explored and studied by means of modern nonlinear analysis theories, such as bifurcation, chaos, power spectral density (PSD), and bicoherence methods. …”
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Stability Analysis of the New Traffic Flow Lattice Model considering Taillight Effect and Speed Deviation by Zhicheng Li, Changxi Ma

“…Through the stability analysis of the model, the stability conditions of the model are obtained. By nonlinear analysis, the mKdV equation is derived which can describe the evolution mechanism of the density wave. …”
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Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses by Hai Zhang, Renyu Ye, Jinde Cao, Ahmed Alsaedi

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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. …”
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Investigation of Nonlinear Behaviour of Semiburied Cylindrical Concrete Reservoir without Dynamic Load Effect by Mazhar Fatahi, Mahdi Meftah Halghi, Mehran Soltani Tehrani

“…The powerful numerical method FEM was used to study about the nonlinear behaviour of cylindrical reservoirs using static and dynamic nonlinear analysis. The values of the results correcting factor in the design codes and standards were evaluated. …”
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Experimental Study to Determine the Failure Criteria of Concrete at Its Early-Age by Hongyan Ding, Lei Zhang, Puyang Zhang

“…The failure criteria and the constitutive relation of materials for an early-age concrete are the most common reasons to conduct the nonlinear analysis and to assess the concrete structures during the construction stage. …”
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Nonlinear Dynamic Analysis of Plates Stiffened by Parallel Beams with Deformable Connection by J. A. Dourakopoulos, E. J. Sapountzakis

“…The plate-beam structure is assumed to undergo moderate large deflections and the nonlinear analysis is carried out by retaining nonlinear terms in the kinematical relations. …”
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Impact of Plastic Hinge Properties on Capacity Curve of Reinforced Concrete Bridges by Nasim Shatarat, Mutasem Shehadeh, Mohammad Naser

“…Pushover analysis is becoming recently the most practical tool for nonlinear analysis of regular and irregular highway bridges. …”
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Nonlinear finite element analysis of equivalent Iwan model considering threaded connections by Litai Sun, Ling Li, Xiaochan Gao

“…Abstract Aiming at the complex geometric nonlinearity and contact behavior of threaded connections, this study proposes a novel approach by constructing a finite element model equivalent to the Iwan model for nonlinear analysis. The innovation of this work lies in the development of a subroutine based on the Iwan model, which effectively simulates the nonlinear contact behavior inherent in threaded connections during tightening. …”
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Numerical Investigation of Distribution Laws of Shear Force in Box Girder Webs by Xingwei Xue, Chao Zang, Junlong Zhou, Hai Zhang

“…The results show that supporting conditions and chambers have a significant impact on the shear-increased coefficient η, and end diaphragm must be set up in the 3D finite element model when calculating η. Nonlinear analysis shows that in the elastic phase, the shear-increased coefficient η basically does not change, but in the cracking stage, the coefficient η of each web changes with the degree of web cracking, and side-webs (S-Webs) reach the ultimate load first. …”
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Numerical Analysis of a Train-Bridge System Subjected to Earthquake and Running Safety Evaluation of Moving Train by Xun Yang, Huanhuan Wang, Xianlong Jin

“…Parallel computing based on contact balance was utilized to deal with this large-scale numerical simulation problem. The dynamic nonlinear analysis was performed on a Hummingbird supercomputer using the finite element code LS-DYNA 971. …”
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Unsteady Squeezing Flow and Heat Transfer Analysis of Magnetohydrodynamic Third-grade Nanofluid between Two Disks Embedded in a Porous Medium subjected to Thermal Radiation using H... by Gbeminiyi Musibau Sobamowo, Ahmed Amoo Yinusa, Mufutau Adekojo Waheed, Antonio Marcos de Oliveira Siqueira

“… The non-linear behaviours of non-Newtonian fluids under various flow conditions continue to arouse research interests in recent times. In this work, nonlinear analysis of unsteady squeezing flow and heat transfer of a third-grade nanofluid between two parallel disks embedded in a porous medium under the influences of thermal radiation and temperature jump boundary conditions is studied using homotopy perturbation method. …”
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Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET) by Navid Bahadorani, Mehdi Ghannad, Mohammad Hossein Sohani, Bahman Modiri

“…The aim of this study is to provide a mathematical solution for the nonlinear analysis of large deformations of FGM cylinders.…”
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Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) Principle by Manar A. Al-Fadul, Haider H. Darwash, Furat Y. Al-Ghalibi

“…The Green strain tensor equation is developed to consider higher-order bowing term. Nonlinear analysis of central finite deflection is carried out using Newton-Raphson iteration that includes high order terms of total potential energy (TPE). …”
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