Dynamic Load Sharing Characteristic of Planetary Transmission Considering Number of Planetary Wheel and Clearance by Dong Hao, Liu Zhiyu, Liu Bo

“…The model is solved by Runge-Kutta numerical method， and the relationship between the number of planetary wheel， the clearance and the load sharing characteristics is established. …”
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The Inverse Problem of Identification of Hydrogen Permeability Model by Yury V. Zaika, Natalia I. Rodchenkova, Ekaterina K. Kostikova

“…The article presents boundary value problems of hydrogen permeability and thermal desorption with dynamical boundary conditions. A numerical method is developed for TDS spectrum simulation, where only integration of a nonlinear system of low order ordinary differential equations is required. …”
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Distributed H∞ Control of AVs Interacting by Uncertain and Switching Topology in a Platoon by Feng Gao, Dongfang Dang, Qiuxia Hu, Yingdong He

“…The sufficient condition ensuring the robust performance of the platoon is presented by using the invariant of signal amplitude of the linear transformation. Then a numerical method is provided to solve the state feedback controller by using the LMI scheme. …”
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An Efficient Collocation Method for a Class of Boundary Value Problems Arising in Mathematical Physics and Geometry by A. H. Bhrawy, A. S. Alofi, R. A. Van Gorder

“…We present a numerical method for a class of boundary value problems on the unit interval which feature a type of power-law nonlinearity. …”
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Analysis of nonlinear vibration characteristics of dual-rotor system under bearing misalignment-rub-coupling fault by NIE YanChun, YU JianHui, ZHANG LeiKe, WANG XueNi, ZHANG JinJian, TANG HuaLin

“…The effects of rotational speed and mass eccentricity on the dynamic response of the system were studied by means of the numerical method. The results show that the bearing misalignment fault can increase the possibility of rub-impact, worsen the shafting vibration and magnify the unsteady motion range of system. …”
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FATIGUE CRACK PROPAGATION TEST AND SIMULATION ANALYSIS OF CAST E-GRADE STEEL CT SPECIMEN by WANG Chao, ZHU Tao, XIAO ShouNe, LIU YuJie, YANG Bing, YANG GuangWu, YIN MinXuan, XU JingTao

“…Taking the crack growth calculation model of CT samples as an example,the fatigue crack growth length and load cycle period results of 5 groups of samples were calculated by using the M-integral numerical method. The relative error was within 10%,which had better consistency. …”
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Non-oscillatory central schemes for the Saint-Venant system by Rooholah Abedian

“…The research aims to develop a well-balanced numerical method for solving the shallow water equations, which account for the balance laws and the source term related to the seabed slope. …”
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V-BAG: A virtual bandwidth aggregation scheme for Internet of Things data by Yongsu Gwak, Young Yong Kim, Ronny Yongho Kim

“…Our extensive analysis using a numerical method and simulation corroborates the outstanding performance of the proposed scheme. …”
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A Comparative Study on Stabilized Finite Element Methods for the Convection-Diffusion-Reaction Problems by Ali Sendur

“…Therefore the use of a stabilized numerical method is inevitable. In this work, we employ and compare three classical stabilized finite element formulations, namely, the Streamline-Upwind Petrov-Galerkin (SUPG), Galerkin/Least-Squares (GLS), and Subgrid Scale (SGS) methods, and a recent Link-Cutting Bubble (LCB) strategy proposed by Brezzi and his coworkers for the numerical solution of the convection-diffusion-reaction equation, especially in the case of small diffusion. …”
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Double Stratified Mixed Convective Flow of Couple Stress Nanofluid past Inclined Stretching Cylinder Using Cattaneo-Christov Heat and Mass Flux Model by Wubshet Ibrahim, Gosa Gadisa

“…The governing partial differential equation of the boundary layer flow region is reduced to its corresponding ordinary differential equation using a similarity transformation technique. Then, the numerical method called the Galerkin finite element method (GFEM) is applied to solve the proposed fluid model. …”
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Analysis of Printed Circuit Boards strains using finite element analysis and digital image correlation by Liviu Marsavina, Alexandru Falk, Octavian Pop

“…Finite element analysis (FEA) is a numerical method of analysis for stresses and strain in structures of any given geometry.…”
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Nonlinear Vibration Mechanism of the Marine Rotating Machinery with Airbag Isolation Device under Heaving Motion by Xiaolei Du, Ming Li

“…Then, the multiple-scale method is conducted to analyze the nonlinear dynamic characteristics of the mechanical system; the frequency-response curves are mainly studied under different parameters, such as the heave excitation, rotor speed, and damping; and the numerical method is also introduced to analyze its dynamic behaviors, such as the steady-state response and its corresponding phase diagram, Poincaré section. …”
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Optimal individual strategies for influenza vaccines with imperfect efficacy and durability of protection by Francesco Salvarani, Gabriel Turinici

“…Subsequently, we propose and test a novel numerical method to find the equilibrium. Various issues of the model are then discussed, such as the dependence of the optimal policy with respect to the imperfections of the vaccine, as well as the best vaccination timing. …”
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Structure optimization of jacquard lifting knife on NURBS curve by YANG ZhenNing, LI YuLiang

“…Inertia moment function and bending moment function of the lifting knife cross-section were calculated by numerical method, and deflection of the lifting knife was calculated by finite difference method. …”
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Fluid-Induced Vibration Elimination of a Rotor/Seal System with the Dynamic Vibration Absorber by Qi Xu, Junkai Niu, Hongliang Yao, Lichao Zhao, Bangchun Wen

“…The simplified rotor model with the absorber is established, and the Muszynska fluid force model is employed for the nonlinear seal force. The numerical method is used for the solutions of the nonlinear differential equations. …”
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Dynamics Modeling and Dynamic Characteristic Analysis of a Spur Gear Pair with Tooth Contact Flash Temperature by Yaping Tian, Lu Xu, Peijie Song, Yandong Chu

“…The influences of TCFT on the bifurcation，the tooth surface impact，the take off the meshing and dynamic load coefficient are analyzed by CPNF（Continuous-Poincaré-Newton-Floquet） numerical method in the two-parameter plane pseudo-color mappings. …”
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HIGH-SPEEP ROLLING BEARING-DUAL ROTOR SPINDLE SYSTEM NUMERICAL SIMULATION ANALYSIS OF DISCRETE MODELING DYNAMICS by LI YunLong, TANG ZhiYu

“…According to Timoshenko beam-axis theory,the finite element discretization model of rolling bearing-dual rotor spindle system is established and the numerical method is used to solve the problem. The results shows that:（ 1） Due to the influence of nonlinear characteristics of the system,the system responds to multiples and combined frequencies of the excitation frequency under multi-frequency coupling excitation,the system vibration response is extremely complex.（ 2） The change of the radial clearance of the intermediate roller bearing has a certain influence on the system response,the effect on the response of the supporting bearing is small,and the small clearance can reduce the response displacement of the center of the intermediate bearing and the rotor system,so that the system tends to be stable.（ 3） Properly increasing the number of supporting bearing rolling elements reduces the response of the supporting bearing and rotor center,and the system stability also increases.（ 4） The general trend of the simulation curve is the same as the experimental data but not fully in agreement,and the result has some errors（ the error is about 15. 6%）. …”
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Study on the Dynamics Characteristic of Gear Cutting Tooth Fault Under Variable Load Excitation by Shi Peiming, Zhao Na, Dang Hui, Tian Guangjun

“…On the basis of that,the variable step size four- order Runge- Kutta numerical method is used to solve to the dynamics model and the dynamics mechanism of gear cutting tooth is studied. …”
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On a Memristor-Based Hyperchaotic Circuit in the Context of Nonlocal and Nonsingular Kernel Fractional Operator by Shahram Rezapour, Chernet Tuge Deressa, Sina Etemad

“…The Banach fixed point theorem and contraction principle are utilized to verify the existence and uniqueness of the solution of the five-dimensional system. A numerical method developed by Toufik and Atangana is used to get approximate solutions of the system. …”
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A Case Study of Nearshore Wave Transformation Processes along the Coast of Mexico near the Laguna Verde Nuclear Power Plant Using a Fast Simulation Method by Israel-Enrique Herrera-Díaz, Carlos Couder-Castañeda, Hermilo Ramírez-León

“…A numerical model based on the mild-slope equation of water wave propagation over complicated bathymetry, taking into account the combined effects of refraction, diffraction, and reflection due to breakwater, is presented. The numerical method was developed using a split proposed version of the mild-slope equation and solved by an implicit method in a finite volume grid; this technique easily allows model the wave effects caused by the breakwater building in coastal waters, where industrial and other economic activities take place. …”
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