Active Earth Pressure for Sloping Finite Soil While Accounting for Shear Stress and Curved Slip Surface by Weiwei Wang, Xinxi Liu, Weidong Hu, Hua Luo, Guanghui Wang

“…The result revealed that the horizontal component of the active earth pressure distribution curve for sloping finite soil was linear in area I and nonlinear with a drum shape in area II. There was a noticeable change at the junction of the two areas. …”
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Machine Learning-Based Probabilistic Seismic Demand Model of Continuous Girder Bridges by Wenshan Li, Yong Huang, Zikai Xie

“…The aim of this study is to propose a procedure to generate PSDMs for a typical regular continuous-girder bridge subjected to far and near-fault ground motions (GMs) utilizing machine-learning methods. A series of nonlinear time history analyses (NTHAs) is carried out to calculate the damage caused by the far and near-fault GMs for four different site conditions, and 21 seismic intensity measures (IMs) are considered. …”
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Empirical mode decomposition analysis of climate changes with special reference to rainfall data by Md. Khademul Islam Molla, M. Sayedur Rahman, Akimasa Sumi, Pabitra Banik

“…We have used empirical mode decomposition (EMD) method, which is especially well fitted for analyzing time-series data representing nonstationary and nonlinear processes. This method could decompose any time-varying data into a finite set of functions called “intrinsic mode functions” (IMFs). …”
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Exact analytical soliton solutions of the M-fractional Akbota equation by Muath Awadalla, Aigul Taishiyeva, Ratbay Myrzakulov, Jihan Alahmadi, Abdullah A. Zaagan, Ahmet Bekir

“…Abstract In this paper we explore the new analytical soliton solutions of the truncated M-fractional nonlinear $$(1+1)$$ ( 1 + 1 ) -dimensional Akbota equation by applying the $$\exp _a$$ exp a function technique, Sardar sub-equation and generalized kudryashov techniques. …”
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Qualitative Properties of the Solution of a Conjugate Problem of Thermal Convection by A. A. Azanov, E. N. Lemeshkova

“…Thus, the problem was reduced to a system of 10 nonlinear integro-differential equations. Its conjugate and inverse nature is determined by the four functions of time. …”
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THIN-WALLED FOUR-POINT CONTACT BALL BEARING CONTACT FINITE ELEMENT ANALYSIS by WU Li, YAO TingQiang, WANG LiHua, LIU XiaoBao

“…Research shows that: for the calculation of the contact characteristics and the size of mesh generation approximate to 50 percent of the semi minor axis of the contact ellipse can get more precise results,for thin walled four point contact ball bearings,ball and the inner and outer rolling contact should force,the equivalent force and contact deformation and radial load is nonlinear ascending relationship,contact force and load distribution of the calculated results with the Hertz contact theory should be calculated values are in good agreement. …”
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Position Control of the Single Spherical Wheel Mobile Robot by Using the Fuzzy Sliding Mode Controller by Hamed Navabi, Soroush Sadeghnejad, Sepehr Ramezani, Jacky Baltes

“…We also describe a novel Fuzzy Sliding Mode Controller (FSMC) implemented to control a spherical wheel mobile robot. The nonlinear nature of the equations makes the controller nontrivial. …”
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Algorithm and Simulation of Association Rules of Drug Relationship Based on Network Model by Hui Teng, Yukun Ma, Di Teng

“…Network model is suitable for the study of the nonlinear relationship of the pharmaceutical relationship by modeling the data learning. …”
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Robust l2−l∞ Filtering for Takagi-Sugeno Fuzzy Systems with Norm-Bounded Uncertainties by Wenbai Li, Yu Xu, Huaizhong Li

“…As we know that the Takagi-Sugeno fuzzy linear systems can be used to represent smooth nonlinear systems, the studied plants can also be uncertain complex systems. …”
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A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures by Zhigang Zhang, Zhaohui Qi, Zhigang Wu, Huiqing Fang

“…A two-node spatial beam element with the Euler-Bernoulli assumption is developed for the nonlinear dynamic analysis of slender beams undergoing arbitrary rigid motions and large deformations. …”
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Autonomous Close Formation Flight Control with Fixed Wing and Quadrotor Test Beds by Caleb Rice, Yu Gu, Haiyang Chao, Trenton Larrabee, Srikanth Gururajan, Marcello Napolitano, Tanmay Mandal, Matthew Rhudy

“…This paper discusses the implementation and flight testing of nonlinear dynamic inversion (NLDI) controllers for close formation flight (CFF) using two distinct UAV platforms: a set of fixed wing aircraft named “Phastball” and a set of quadrotors named “NEO.” …”
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Assessing the Impact of Cumulus Convection and Turbulence Parameterizations on Typhoon Precipitation Forecast by Yueya Wang, Haobo Li, Xiaoming Shi, Jimmy C. H. Fung

“…This study investigates the influence of cumulus parameterizations and turbulence models, including the Reconstruction and Nonlinear Anisotropy (RNA) turbulence scheme, on precipitation prediction in multiple typhoon cases. …”
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The Coupling Dynamic Analysis and Field Test of TBM Main System under Multipoint Impact Excitation by Junzhou Huo, Hanyang Wu, Guangqing Li, Wei Sun, Jing Chen

“…According to TBM horizontal support structure, a dynamic coupling nonlinear model is established, with consideration of time-varying impact load and multicomponent complex relationship from cutter to gripper shoe. …”
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Mechanical stability investigation of advanced composite plates resting on elastic foundations using a new four-unknown refined theory by Yassine Khalfi, Aboubakar Seddik Bouchikhi, Yassine Bellebna

“…The stability equations are determined using the present theory and based on the existence of material symmetry with respect to the median plane.The nonlinear strain-displacement of Von Karman relations are also taken into consideration. …”
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Improved Shape-Finding Method and Parametric Study for Designing Asymmetric Suspension Bridges in Mountainous Terrain by Chenchen Jiang, Yangxun Ou, Weiyu Tang, Shengjun Hou, Rui Luo, Yuhao Jin, Bin Sun

“…In the iterative process, the shape of the cable is determined based on the equilibrium equations, and the hanger forces are calculated through the nonlinear finite element analysis. After deciding the bridge’s initial state, the asymmetry parameters’ effects are carefully investigated through finite element analysis under the static and seismic conditions. …”
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Robust Decentralized Formation Tracking Control of Complex Multiagent Systems by Naveed Mazhar, Rameez Khan, Abid Raza, Fahad Mumtaz Malik, Raja Amer Azim, Hameed Ullah

“…The stability properties of the proposed framework are established through the Lyapunov method which not only ensures the finite-time formation tracking of nonlinear multiagent systems under directed communication but also guarantees that for all time the agents remain inside a closed boundary if they are initially inside it. …”
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Feedback Control of Injection Rate of the Injection Molding Machine Based on PID Improved by Unsaturated Integral by An Yang, Weigang Guo, Tianlong Han, Congrong Zhao, Hongwei Zhou, Jianping Cai

“…Then, the improved PID was applied to the injection speed control of an injection molding machine, which is usually controlled using conventional PID control that featured difficulty in mathematical modeling, a nonlinear relationship between the input and the output, and high system complexity. …”
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Forecast of Chaotic Series in a Horizon Superior to the Inverse of the Maximum Lyapunov Exponent by Miguel Alfaro, Guillermo Fuertes, Manuel Vargas, Juan Sepúlveda, Matias Veloso-Poblete

“…In this article, two models of the forecast of time series obtained from the chaotic dynamic systems are presented: the Lorenz system, the manufacture system, and the volume of the Great Salt Lake of Utah. The theory of the nonlinear dynamic systems indicates the capacity of making good-quality predictions of series coming from dynamic systems with chaotic behavior up to a temporal horizon determined by the inverse of the major Lyapunov exponent. …”
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Multiphasic allometry: the reality and significance of ontogenetic shifts in the body-mass scaling of metabolic rate by Douglas S. Glazier

“…Second, it is recommended that the existence of nonlinear (multiphasic or curvilinear) allometry should be tested by comparing linear versus curvilinear regression models or body-size scaling slopes (and their 95% confidence intervals) of different developmental stages, each analyzed with separate, statistically independent log–log regression lines. …”
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Numerical Simulations of Transfer of Spatial Beam Aberrations in Optical Parametric Chirped-Pulse Amplification by Ying Chen, Yuan Zhou, Guobao Jiang, Lulu Wang

“…Moreover, the modulation amplitude became increasingly severe as the nonlinear length extended. In the absence of phase aberration in the initial input signal, the induced phase aberration in the output signal was assumed as the differential form of the pump beam phase. …”
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