Cruising speed of a cylindrical wing performing small translational-rotational oscillations by A.N. Nuriev

“…It is shown that the nonlinear interaction of time harmonics of translational and rotational oscillations creates secondary flows that make the wing to move in the direction perpendicular to the axis of translational oscillations. …”
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STUDY ON DYNAMIC CHARACTERISTICS OF END-TOOTHED CONNECTION ROTOR CONSIDERING CONTACT EFFECT by YANG ZhengLie, WANG AiLun, ZHANG HaiBiao, MA Wu, WANG Hai

“…Aiming at the problem that the finite element analysis software can’t deal with the nonlinear characteristics such as elastoplastic element in modal analysis,the static finite element analysis method is used to obtain the variation of the stiffness of the end tooth structure considering the surface contact with the preload force and proposed an equivalent method that can characterize the contact effect on the stiffness of the end tooth joint structure.An equivalent model of the end-toothed rotor considering contact is established.The influence of preload force on the modal and critical speed of the rotor is obtained by the modal analysis of the rotor under different preload conditions.Analysis data indicates that the equivalent method can correctly reflect the influence of contact effect on rotor stiffness in modal analysis,and the accuracy meets the requirements of engineering application.…”
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Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System by Shuang Song, An-Jun Chen

“…In accordance with dropping shock dimensionless cubic nonlinear dynamic equation of suspension spring system, by variational iteration method, a first-order approximate solution of the system was obtained. …”
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A Normal Contact Stiffness Statistical Model of Joint Interface considering Hardness Changes by Donghua Yin, Xueliang Zhang, Shuhua Wen, Guosheng Lan, Yonghui Chen

“…The simulation results show that the normal contact stiffness of joint interface is a nonlinear function of the mean surface separation and decreases with the increase of the mean surface separation under different plasticity indexes. …”
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Topological Quasilinear Spaces by Yılmaz Yılmaz, Sümeyye Çakan, Şahika Aytekin

“…He introduced a kind of the concept of a quasilinear spaces both including a classical linear spaces and also nonlinear spaces of subsets and multivalued mappings. …”
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A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal Conductivity by S. Shateyi, G. T. Marewo

“…A suitable similarity transformation is employed to transform the partial differential equations corresponding to the momentum and heat equations into nonlinear ordinary differential equations. The resultant ordinary differential equations are then solved using a successive relaxation method (SRM). …”
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Least Square Homotopy Perturbation Method for Ordinary Differential Equations by Mubashir Qayyum, Imbsat Oscar

“…The proposed scheme is tested against various linear and nonlinear BVPs (second to seventh order DEs). Validity of the obtained solutions is confirmed by finding absolute errors. …”
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ROLLING BEARING WEAK FAULT FEATURE EXTRACTION BASED ON MULTIPOINT OPTIMAL MINIMUM ENTROY DECONVOLUTION ADJUSTED AND ADAPTIVE STOCHASTIC RESONANCE WITH CUCKOO SEARCH by QUAN ZhenYa, ZHANG XueLiang

“…Adjusting the value of nonlinear system parameters will affect the output Signal-to-Noise Ratio（ SNR）,so Signalto-Noise Ratio（ SNR） was used as the output evaluation index of stochastic resonance. …”
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On the Motion of Harmonically Excited Spring Pendulum in Elliptic Path Near Resonances by T. S. Amer, M. A. Bek, I. S. Hamada

“…The response of a nonlinear multidegrees of freedom (M-DOF) for a nature dynamical system represented by a spring pendulum which moves in an elliptic path is investigated. …”
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A Numerical Solution for Hirota-Satsuma Coupled KdV Equation by M. S. Ismail, H. A. Ashi

“…Newton’s method is used to solve the block nonlinear pentadiagonal system we have obtained. The resulting schemes are of second order accuracy in both directions, space and time. …”
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Gyrokinetic simulations of the effects of magnetic islands on microturbulence in KSTAR by Xishuo Wei, Javier H Nicolau, Gyungjin Choi, Zhihong Lin, Seong-Moo Yang, SangKyeun Kim, WooChang Lee, Chen Zhao, Tyler Cote, JongKyu Park, Dmitri Orlov

“…Simulations show that the transport is controlled by the nonlinear interactions between the ITG turbulence and self-generated vortex flows and zonal flows, leading to an anisotropic structure of fluctuation and transport on the poloidal plane and in the toroidal direction. …”
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Vector Bond Graph Method of Kineto- static Analysis for 3SPS + 1PS Paralell Robot by Wang Zhongshuang, Tao Yangyang, Liu Shang, Chen Ji

“…For the algebraic difficulties brought by differential causality and nonlinear junction structure in automatic modeling and kineto- static analysis of spatial robot mechanism,the effective bond graph augment method is proposed. …”
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An Index for Measuring Functional Diversity in Plant Communities Based on Neural Network Theory by Naiqi Song, Jin-Tun Zhang

“…The results showed that SOFM index was an effective method in the evaluation of functional diversity and its change in plant communities. Significant nonlinear correlations of SOFM index with the common used methods, FAD, MFAD, FDp, FDc, FRic, and FDiv indices, also proved that SOFM index is useful in the studies of functional diversity.…”
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Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model by Chekib Ghorbel, Amira Tiga, Naceur Benhadj Braiek

“…This paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. …”
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Wavelet Optimal Estimations for Density Functions under Severely Ill-Posed Noises by Rui Li, Youming Liu

“…Then, we prove a lower bound, which shows our wavelet estimator optimal. In other words, nonlinear wavelet estimations are not needed in that case. …”
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Similarity Solution of Marangoni Convection Boundary Layer Flow over a Flat Surface in a Nanofluid by Norihan Md. Arifin, Roslinda Nazar, Ioan Pop

“…The general governing partial differential equations are transformed into a set of two nonlinear ordinary differential equations using unique similarity transformation. …”
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Existence of Some Semilinear Nonlocal Functional Differential Equations of Neutral Type by Hsiang Liu, Cheng-Wen Liao, Chin-Tzong Pang

“…The linear part of the equations is assumed to generate a compact analytic semigroup of bounded linear operators, whereas the nonlinear part satisfies the Carathëodory condition and is bounded by some suitable functions. …”
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Hydrodynamic scaling limit of continuum solid-on-solid model by Anamaria Savu

“…A fourth-order nonlinear evolution equation is derived from a microscopic model for surface diffusion, namely, the continuum solid-on-solid model. …”
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Dynamic Modeling and Optimal Control for Complex Systems with Statistical Trajectory by Lingli Guo, Zhengguang Xu, Ye Wang

“…Firstly, a novel discrete-time nonlinear working state class dynamic mathematical model of sintering machine is constructed by K-means cluster method for the local data, which overcomes difficulties of modeling by mechanism and describes the class change against the point movement. …”
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Temperature compensated crystal oscillator design in Keysight ADS by A. N. Lyashuk, A. V. Kosykh

“…In contrast to the well-known numerical design of a thermally compensated crystal oscillator in SPICE programs with subsequent analysis of the results in a mathematical program, for example, Mathcad, the proposed method allows us to investigate the real shape of oscillations, the spectral purity of the output signal, take into account the nonlinear influence of the circuit and more subtle effects.…”
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