Aeroservoelastic Pitch Control of Stall-Induced Flap/Lag Flutter of Wind Turbine Blade Section by Tingrui Liu

“…The aeroelastic governing equations combine a flap/lag structural model and an unsteady nonlinear aerodynamic model. The nonlinear resulting equations are linearized by small perturbation about the equilibrium point. …”
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Deficit fear as a modulator of disbelief in the framework of self-perception among students at the stage of self-isolation by M. M. Basimov

“…In addition, three graphs of the dependencies of the indicator of the actual self–perception “Unbeliever – believer” on three indicators of fear (constructive, deficit and destructive) are clearly analyzed, when all the connections within the correlation analysis are extremely weak, but with a nonlinear approach, one of the three dependencies is strong as the simplest nonlinear.…”
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PREDICTION AND OPTIMIZATION ANALYSIS OF DURABILITY PERFORMANCE OF AUTOMOTIVE CLOSURES by GUO PengBo, LIU Zhe, LI Hui, GAO DaWei

“…Aiming at the fatigue failure problem of a car door opening and closing process.The Hypermesh was used to construct a finite element model of door opening and closing,and then Ls⁃Dyna,an explicit dynamics solver,was used to establish a nonlinear transient dynamics model of door opening and closing.The d3plot file containing the stress⁃time history solved by the nonlinear transient analysis was imported into nCode DesignLife to build the fatigue analysis module,and the results were verified with 100000 times of door opening and closing durability tests,and the conclusions show that both of them have good consistency in terms of the damage location and the damage degree.Finally,multi⁃particle swarm optimization(MPSO)was used to optimize the door with the objectives of door lightweight and minimum damage,and the optimal solution was selected according to the engineering reality,which reduced the mass of the door assembly by 0.17 kg,and the damage value of the door was reduced by about 24.33%.The optimization results show that the MPSO algorithm can be effectively applied to the multi⁃objective optimization design of the door,which provides certain ideas for the design and development of the subsequent door.…”
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New Bifurcation Critical Criterion of Flip-Neimark-Sacker Bifurcations for Two-Parameterized Family of n-Dimensional Discrete Systems by Shengji Yao

“…The criterion is built on the properties of coefficients of characteristic equations instead of the properties of eigenvalues of Jacobian matrix of nonlinear system, which is formulated using a set of simple equalities and inequalities consisting of the coefficients of characteristic polynomial equation. …”
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Flap/Lag Stall Flutter Control of Large-Scale Wind Turbine Blade Based on Robust H2 Controller by Tingrui Liu, Wei Xu

“…Flap/lag stall nonlinear flutter and active control of anisotropic composite wind turbine blade modeled as antisymmetric beam analysis have been investigated based on robust H2 controller. …”
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Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects by Faisal Salah

“…This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Following that, the generated solution is studied and explained in relation to a variety of engineering parameters. …”
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Philosophical biography : some problems of conceptualization by Irina Polyakova

“…A philosopher’s life-course has its own specific character: a dramatic process of (self-) formation, (self-) knowledge, which is impossible to view in a single linear perspective as we are faced with the nonlinear nature of events (thoughts and feelings can take the place of events, if they are deeply experienced and felt by the personality) and with the nonlinear nature of memory, understood as a creative act. …”
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Optimal Payments to Connected Depositors in Turbulent Times: A Markov Chain Approach by Dávid Csercsik, Hubert János Kiss

“…We show that in the case of the proposed model this question results in a nonlinear optimization problem with nonlinear constraints and that the method is capable of accounting for time-varying resource limits of the bank. …”
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Heterogeneous Fundamentalists in a Continuous Time Model with Delays by Luca Gori, Luca Guerrini, Mauro Sodini

“…We develop a continuous time model with heterogeneous fundamentalists, imitators, and discrete time delays. We show that nonlinear dynamic phenomena, such as coexistence of attractors and local and global bifurcations, occur due to the existence of a time gap in the process of adjustment of market prices.…”
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Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces by Yulin Zhao, Li Huang, Xuebin Wang, Xianyang Zhu

“…By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. …”
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Convergence Behavior for Newton-Steffensen’s Method under -Condition of Second Derivative by Yonghui Ling, Xiubin Xu, Shaohua Yu

“…The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen’s method to solve nonlinear operator equations in Banach spaces. Under the assumption that the second derivative of the operator satisfies -condition, the convergence criterion and convergence ball for Newton-Steffensen’s method are established.…”
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Duffing-Type Oscillator with a Bounded from above Potential in the Presence of Saddle-Center Bifurcation and Singular Perturbation: Frequency Control by Robert Vrabel, Pavol Tanuska, Pavel Vazan, Peter Schreiber, Vladimir Liska

“…We explain the appearance of the large frequency nonlinear oscillations of the solutions. It is shown that the frequency can be controlled by a small parameter at the highest derivative.…”
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Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space by Rongfei Lin, Yueqing Zhao, Qingbiao Wu, Jueliang Hu

“…We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. …”
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Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems by Cheng Chen, Jiafa Xu, Donal O’Regan, Zhengqing Fu

“…We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.…”
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Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems by Yuhua Long, Haiping Shi

“…By employing a critical point theorem, established by Bonanno, we prove the existence of three distinct solutions to boundary value problems of nonlinear difference equations with a discrete p-Laplacian operator. …”
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On Maximum Energy of Mechanical Systems Under Shock Disturbances by Dimitry V. Balandin

“…The method is demonstrated by calculating the maximal displacement in a second-order nonlinear system.…”
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Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces by Bilal Cekic, Rabil A. Mashiyev

“…In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x)-Kirchhoff type with nonstandard growth condition.…”
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Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions by Tingting Qi, Yansheng Liu, Yujun Cui

“…Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions. …”
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Serum lipids mediate the association of per- and polyfluoroalkyl substances exposure and age-related macular degeneration. by Xiaodong Chen, Jiaqi Li, Ningda Xu, Xuewei Li, Jiarui Li, Qianwen Guo, Jia Zhang, Heng Miao, Lvzhen Huang

“…PFHxS (OR, 1.72; 95% CI, 1.01 to 2.93; P = 0.045) and PFOA (OR, 2.10; 95% CI, 1.21 to 3.63; P = 0.011) levels were associated with late AMD risk. The RCS showed a nonlinear connection between PFOS exposure and AMD risk (P nonlinear = 0.006). …”
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Association between neutrophil-albumin ratio and ultrasound-defined metabolic dysfunction-associated fatty liver disease in U.S. adults: evidence from NHANES 2017–2018 by Ming-yu He, Xin-jie Du, Yi-ming Liu

“…NAR was significantly elevated in subjects with CAP ≥ 285 dB/m (P < 0.001), and nonlinear relationships between NAR and CAP were observed. …”
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