Damage Detection and Quantification Using Transmissibility Coherence Analysis by Yun-Lai Zhou, E. Figueiredo, N. Maia, R. Perera

“…., 2002, Fassois and Sakellariou, 2007, especially when nonlinearity occurs, which might be further used in real engineering. …”
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Trivariate Stochastic Weather Model for Predicting Maize Yield by Patrick Chidzalo, Phillip O. Ngare, Joseph K. Mung’atu

“…Stochastic analyses are applied on the pdf and process to account for nonlinearity and nonstationarity, and also establish a corresponding stochastic differential equation (SDE) for maize yield. …”
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Designing Backstepping Control System for Hypersonic Vehicle Based on Feedback Linearization by Jianli Wei, Huan Chen

“…Therefore, there is a strong cross-coupling effect among its aerodynamic force, thrust, structure, and control. The nonlinearity and uncertainty of the model cause difficulties in control system design. …”
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H∞ Loop Shaping Control of Input Saturated Systems with Norm-Bounded Parametric Uncertainty by Renan Lima Pereira, Karl Heinz Kienitz

“…Differently from other gain-scheduled approaches in the literature, this one focuses on the problem of H∞ loop shaping control design with input saturation nonlinearity and norm-bounded uncertainty to reduce the effect of the disturbance input on the controlled outputs. …”
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Experimental Study and Numerical Simulation on Failure Process of Reinforced Concrete Box Culvert by Yafeng Gong, Yulin Ma, Guojin Tan, Haipeng Bi, Yunze Pang, Chen Ma

“…The finite element analysis based on material nonlinearity and contact nonlinearity of round hinged BC and integral BC was carried out. …”
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An accurate approximate analysis of the large-amplitude asymmetric vibrations of a dielectric elastomer balloon by Akuro Big-Alabo, Chukwuebuka Francis Abah, Tobinson Alaso Briggs

“…The vibration model of the neo-Hookean DEB has a negative index nonlinearity which poses a solution problem for perturbative methods and most non-perturbative methods. …”
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Damage evolution of slab tracks with complex temperature distribution by Yang Li, Kailin Cao, Jinjie Chen, Haiyan Li, Zhihao Yang, Guocui Wang

“…Results show that: (1) Considering a vertical nonlinearity of 0.3 and a lateral gradient of 10 ℃/m can improve the maximum vertical displacement by 31.6 %. (2) The critical air temperature for interface damage initiation can be approximately 5 ℃ lower when the vertical nonlinearity and the lateral gradient are not considered than when they are considered. …”
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Experimental and Numerical Studies on Wave Breaking Characteristics over a Fringing Reef under Monochromatic Wave Conditions by Jong-In Lee, Sungwon Shin, Young-Taek Kim

“…The results in this study revealed that one-layer model is not suitable in the highly nonlinear wave condition over a fringing reef bathymetry. …”
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Linear viscoelastic models from creep and complex modulus testing in soil-emulsion by Paulo Mateus Barros Rodrigues, Silvrano Adonias Dantas Neto, Lucas Feitosa de Albuquerque Lima Babadopulos, Jorge Luiz Oliveira Lucas Júnior

“…The model exhibited satisfactory adjustments to the creep test results, even in the nonlinearity domain. The differences between the strains predicted by the model and those defined experimentally were considered within an acceptability limit for geotechnical materials, and the introduction of a modulus decrease coefficient of approximately 65% was sufficient to simulate the nonlinearity effect in the 2S2P1D model.…”
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Multiplicity of Positive Solutions for Semilinear Elliptic Systems by Tsing-San Hsu

“…We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. …”
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Fuzzy-Swarm Intelligence-Based Short-Term Load Forecasting Model as a Solution to Power Quality Issues Existing in Microgrid System by Demsew Mitiku Teferra, Livingstone M. H. Ngoo, George N. Nyakoe

“…The loads are categorized as holiday loads (national and religious), weekdays, and weekend days. The nonlinearity and uncertain characteristics of electrical load in a microgrid are one of the major sources of power quality problems in a microgrid system, and they can be handled using an accurate load forecast model. …”
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A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters by Rugao Gao, Keping Zhou, Yun Lin

“…The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications due to its good performance in both computational efficiency and accuracy. But in gPCEM, a nonlinear transformation of random variables should always be used to adapt the generalized Polynomial Chaos theory for the analysis of random problems with complicated probability distributions, which may introduce nonlinearity in the procedure of random uncertainty propagation as well as leading to approximation errors on the probability distribution function (PDF) of random variables. …”
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Global stability boundary analysis and verification of aviation pressure servo-controlled actuator system by Zhipeng Huang, Xinjie Li, Zeyu Cao, Chentian Ma, Yunhe Wang, Bin Yu, Guoliang Ma, Xiangdong Kong

“…Abstract In this paper, the mathematical model of the aviation pressure servo valve controlled actuator system(APSVCAS) considering nonlinearity is established based on a jet pipe pressure servo valve in this article. …”
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Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces by A. Elmahi, D. Meskine

“…Existence result for strongly nonlinear elliptic equation with a natural growth condition on the nonlinearity is proved.…”
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Two-point boundary value problems involving reflection of the argument by Chaitan P. Gupta

“…Two point boundary value problems involving reflection of the argument are studied. The nonlinearity involved is allowed to cross asymptotically any number of eigenvalues of the associated linear eigenvalue problem as long as those crossings take place in subsets of sufficiently small measure.…”
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Robustness of Exponential Dissipation with respect to Small Time Delay by Xunwu Yin

“…We investigate robustness of exponential dissipation for the following general nonlinear evolutionary equation with small time delay: We firstly obtain a converse Lyapunov theorem. …”
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General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents by Mohammad Alnegga, Abdelbaki Choucha, Djamel Ouchenane, Salah Boulaaras

“…A nonlinear Kirchhoff-type equation with logarithmic nonlinearity and variable exponents is studied. …”
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Quantification of external disturbance forces in sliding microwire by Fazlar Rahman, M.A. Salam Akanda

“…Analytical assessment is also complex because of multi-physics involvement, nonlinearity of forces, and a lack of suitable mathematical models. …”
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Proton response and neutron spectrum unfolding by solution-grown trans-stilbene scintillator by Nguyen Duy Quang, H. J. Kim, Sunghwan Kim, Sinchul Kang, Phan Quoc Vuong, Phan Bao Quoc Hieu, Nguyen Kien Cuong, Y. S. Yoon, Uk-Won Nam

“…The photomultiplier tube nonlinearity effect was studied and corrected for high-energy measurement. …”
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SYNTHESIS METHODS OF ALGEBRAIC NORMAL FORM OF MANY-VALUED LOGIC FUNCTIONS by A. V. Sokolov, O. N. Zhdanov, O. A. Ayvazian

“…The article also introduces the definition of algebraic degree of nonlinearity of the functions of many-valued logic and the S-box, based on the principles of many-valued logic. …”
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