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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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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Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting by Yunliang Zhang, Zhidong Guo

“…One is the strong nonlinearity of the system. The other is that the state function is not fixed.…”
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Generalized functional varying-index coefficient model for dynamic synergistic gene-environment interactions with binary longitudinal traits. by Jingyi Zhang, Honglang Wang, Yuehua Cui

“…This model examines how the genetic effects on a disease trait are nonlinearly influenced by a combination of environmental factors. …”
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An Analytical Method for Determining the Load Distribution of Single-Column Multibolt Connection by Nirut Konkong, Kitjapat Phuvoravan

“…Finite element analysis with shell elements was used to model the cold-formed steel plate while solid elements were used to model the bolt fastener for the purpose of studying the structural behavior of the bolt connections. Material nonlinearities, contact problems, and a geometric nonlinearity procedure were used to predict the failure behavior of the bolt connections. …”
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LSTM-based estimation of lithium-ion battery SOH using data characteristics and spatio-temporal attention. by Gengchen Xu, Jingyun Xu, Yifan Zhu

“…However, traditional LSTM-based SOH estimation methods do not account for the fact that the degradation sequence of battery SOH exhibits trend-like nonlinearity and significant dynamic variations between samples. …”
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An optimal control problem in economics by Jannett Highfill, Michael McAsey

“…It is shown that the existence of an optimal extraction path is not guaranteed by a utility function that is merely (strictly) concave, but that the additional requirement of asymptotic nonlinearity will assure the existence of the desired optimum.…”
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Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation by Ying Zhang, Congming Peng

“…In this paper, a family of the weakly dissipative periodic Camassa-Holm type equation cubic and quartic nonlinearities is considered. The precise blow-up scenarios of strong solutions and several conditions on the initial data to guarantee blow-up of the induced solutions are described in detail. …”
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Shaking Table Study on the Seismic Performance of Geogrid Reinforced Soil Retaining Walls by Xiaoguang Cai, Sihan Li, Honglu Xu, Liping Jing, Xin Huang, Chen Zhu

“…The root mean square (RMS) acceleration amplification factors increase nonlinearly with the wall height and decrease with increasing seismic load, which is not regarded as a constant value. …”
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Experimental Study on Dynamic Resilient Modulus of Lime-Treated Expansive Soil by Zheng Lu, Yang Zhao, Shaohua Xian, Hailin Yao

“…The results indicate that the dynamic resilient modulus of lime-treated expansive soils increases nonlinearly with the increase of compaction degree, while decreases nonlinearly with the increase of dynamic stress level. …”
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Simple Program to Investigate Hysteresis Damping Effect of Cross-Ties on Cables Vibration of Cable-Stayed Bridges by Panagis G. Papadopoulos, Andreas Diamantopoulos, Haris Xenidis, Panos Lazaridis

“…A simplified SDOF model, approximating the fundamental vibration mode, is adopted for every individual cable. The geometric nonlinearity of the cables is taken into account by their geometric stiffness, whereas the material nonlinearities of the cross-ties include compressive loosening, tensile yielding, and hysteresis stress-strain loops. …”
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Experimental Analysis of Fabricated Synthetic Midthoracic Paediatric Spine as Compared to the Porcine Spine Based on Range of Motion (ROM) by Nor Amalina Muhayudin, Khairul Salleh Basaruddin, Ruslizam Daud, Fiona McEvoy, Tansey

“…Biomechanical tests were conducted to measure the ROM and nonlinearity of sigmoidal curves at six degrees of freedom (DOF) with moments at ±4 Nm before the specimens failed. …”
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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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Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System by Chin-Chin Wu

“…We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity in periodic media. The existence and the monotonicity in time of traveling waves can be derived in the same way as the one-dimensional lattice case. …”
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Class of constructions of even variables Boolean function with optimum algebraic immunity by CHEN Yin-dong, LU Pei-zhong

“…A second order recursive construction of even variables Boolean function with optimum algebraic immunity was proposed.It could be observed that the constructed Boolean functions have well cryptographic properties,such as good balance,high algebraic degree and high nonlinearity.Further more,it was generalized to a class of constructions for Boolean functions with optimum algebraic immunity.…”
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Further Improvement on Stability Results for Delayed Load Frequency Control System via Novel LKFs and Proportional-Integral Control Strategy by Xingyue Liu, Kaibo Shi, Lin Tang, Yiqian Tang

“…In this work, novel stability results for load frequency control (LFC) system considering time-varying delays, nonlinearly perturbed load, and time-varying disturbance of system parameters are proposed by using proportional-integral control strategy. …”
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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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Robust Adaptive Fuzzy Control of Chaos in the Permanent Magnet Synchronous Motor by Jinpeng Yu, Junwei Gao, Yumei Ma, Haisheng Yu, Songfeng Pan

“…Fuzzy logic systems are used to approximate unknown nonlinearities, and an adaptive backstepping technique is employed to construct controllers. …”
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