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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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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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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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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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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Small face detection based on improved YOLOv5s by ZHOU Lifang, HU Zhen, LIU Bo

“…Finally, EIoU was utilized as the loss function, which directly reduced the width and height discrepancies between predicted and actual bounding boxes, and FReLU was utilized as the activation function, which could enhance the nonlinear expressiveness of feature maps to improve the precision and stability of small face detection. …”
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Dynamic Response Analysis of an Asymmetric Coupled Vehicle-Track System Generated by Voided Elastic Two-Block Sleeper by Zhenxing He, Xinwen Yang

“…The pads under the rails and the rubber boots under the sleepers provide greater vertical and lateral elasticity for the track. The Hertz nonlinear elastic contact theory is used to calculate the normal wheel/rail force. …”
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OPTIMUM MATCHING OF KINEMATIC PARAMETERS OF CUTTING COAL GANGUE SHEARE by DING Fei, LI BinBin, ZHOU WenChao

“…Based on the coal rock material nonlinear theory and rigid flexible coupling multi-body system dynamics theory,the optimal matching of the parameters of shearer was studied.Using Ansys/LS-DYNA software, the coupling simulation model was established for shearer drum with gangue coal, the coal extraction process run down by three to the spiral drum three to force and torque, the volume of coal and rock was cut out.The relationship between the motion parameters and load fluctuation coefficient, cut down the coal volume, cutter safety coefficient, cutting energy consumption, coal loading rate and productivity were analyzed using these results; Using the MATLAB optimization toolbox, the load fluctuation coefficient, cut down the coal volume, cutter safety coefficient, cutting ratio energy consumption, coal loading rate and productivity as the goal function, the multi-objective optimization equation is established for motion parameters of shearer spiral drum. …”
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Gear Defect Modeling of a Multiple-Stage Gear Train by Andrew Sommer, Jim Meagher, Xi Wu

“…This study demonstrates the transient and steady state dynamic loading on teeth within a two-stage gear transmission arising from backlash and geometric manufacturing errors by utilizing a nonlinear multibody dynamics software model. Backlash between gear teeth which is essential to provide better lubrication on tooth surfaces and to eliminate interference is included as a defect and a necessary part of transmission design. …”
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Thermodynamic Phase Transition of Generalized Ayon-Beato Garcia Black Holes by Elham Ghasemi, Hossein Ghaffarnejad

“…In this work, we study thermodynamics of generalized Ayon-Beato and Garcia (ABG) black hole metric which contains three parameters named as mass m, magnetic charge q, and dimensionless coupling constant of nonlinear electrodynamics interacting field γ. We showed that central regions of this black hole behaves as dS (AdS) vacuum space by setting q<2mq>2m and in the case q=2m reaches to a flat Minkowski space. …”
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A New 6D Two-wing Hyperchaotic System: Dynamical Analysis, Circuit Design, and Sinchronization by Michael Kopp, Inna Samuilik

“…These terms comprise two cross-product nonlinearities, two piecewise linear functions, six linear terms, and one constant. …”
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Site Specific Stem Volume Models for Pinus patula and Pinus oocarpa by Herbert Malata, Elisha S. Ngulube, Edward Missanjo

“…Various predictors including diameter at breast height (dbh) and height (ht) were run against total stem volume using a nonlinear mixed-effects modelling approach. The results indicate that the developed site specific models showed a significant association between total stem volume and the predictors (dbh and ht). …”
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Dynamics Characteristic Analysis of Involute Gear with Asymmetric Tooth Considering the Influence of Time-varying Stiffness and Backlash by Qi Chen, Zhigang Yao, Yadong Wang, Yanming Wu

“…Moreover， the relationship between the average mesh stiffness and dynamics performance are nonlinear. That is， with the increase of the average meshing stiffness， the dynamics characteristics becomes better from worse， but the average meshing stiffness continues to increase and then the dynamic characteristics become inferior， so the optimal value of the average meshing stiffness should be determined according to the actual working conditions. …”
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Experimental Study on Compaction Characteristics and Mechanical Behavior of Crushed Rock Masses by Xiaolou Chi, Qiang Fu, Ke Yang

“…Further, we carried out an orthogonal experiment and built a multivariate nonlinear regression model to quantitatively characterize the combined influence of these factors on the compaction characteristics of the crushed rock masses and the mechanical behavior of the consolidated bodies.…”
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Fatigue Strength Analysis of the High-speed Diaphragm Sun-gear Shaft by Xiaopeng Wang, Shijun Liu, Huijun Yao, Wenbo Xu

“…Result shows that strength of sun-gear shaft is meet the requirements under single or multi-coupling loads within the range of working parameters. There is a nonlinear relationship between speed and stress, the great stress is appeared at the alveolar roots, its proportion of stress occupied increases alternately with coupling load. …”
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Optimization of an On-Grid Inverter for PV Applications Using Genetic Algorithms by Anis Ammous, Abdulrahman Alahdal, Kaiçar Ammous

“…A new approach to the optimal design of power inverters for on-grid photovoltaic systems that uses genetic algorithms (GA) is provided in this article. The nonlinear average model is adopted to model the conversion stage in order to accurately evaluate and quickly estimate the power losses of the power devices. …”
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Study on the Dynamic Magnification Effect of Structure Stiffness Based on the Gust Coupling Analysis of Civil Aircraft by Yingying Liu, Kaiping Yu, Jinze Li

“…The response of flexible aircraft is nonlinearly related to frequency. It exhibits a significant increase in the inertial force and the aerodynamic force at higher frequencies, while a quasi-rigid response at very low frequencies shows the importance of sufficient analysis time. …”
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Comparison of Three Methods for Wind Turbine Capacity Factor Estimation by Y. Ditkovich, A. Kuperman

“…The third “approximate” approach, valid in case of Rayleigh winds only, employs a nonlinear approximation of the capacity factor versus average wind speed curve, only requiring rated power and rotor diameter of the turbine. …”
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Effect of Near-Fault Pulsed Ground Motions on Seismic Response and Seismic Performance to Tunnel Structures by Xiancheng Mei, Qian Sheng, Zhen Cui

“…Therefore, a recently developed velocity pulse equivalent model is proposed to synthesize the artificial near-fault pulsed ground motion for the seismic response behavior of the tunnel structure. A newly proposed nonlinear dynamic time history methodology, the incremental dynamic analysis method, is introduced into the analysis of seismic performance and fragility for tunnel structures. …”
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