New Fractional Derivative Expression of the Shifted Third-Kind Chebyshev Polynomials: Application to a Type of Nonlinear Fractional Pantograph Differential Equations by Y. H. Youssri, W. M. Abd-Elhameed, H. M. Ahmed

“…To test the method’s convergence, certain estimations are included. The proposed numerical method is demonstrated by numerical results to ensure its applicability and efficiency.…”
Get full text

Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method by Wenjie Guo, Qingsong Feng

“…Adopting the spring model to simulate the general boundary conditions, the problems of vibration of the arbitrary plate domain can be solved perfectly. Then, a numerical method is introduced to figure out the structure strain energy, kinetic energy, and elastic potential energy of the boundary. …”
Get full text

ANALYSIS ON DYNAMIC CHARACTERISTICS OF TOOTH ROOT CRACK OF GEAR DRIVE SYSTEM UNDER VARIABLE LOAD EXCITATION by SHI PeiMing, ZHAO Na, LIANG Kai, HAN DongYing

“…The Runge-Kutta numerical method was used to simulate and analysis crack fault. …”
Get full text

Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures by Fatima Boussaoui, Hassane Lahmam, Bouazza Braikat

“…In this work, we propose a high-order algorithm based on the asymptotic numerical method (ANM) for the nonlinear elastic computation of helical structures without neglecting any nonlinear term. …”
Get full text

Nonlinear Dynamics Numerical Analysis of Rolling Bearing-rotor System based on Finite Element Modeling by Yunlong Li

“…According to Timoshenko beam-axis theory，the finite element discretization model of the bearing-rotor system is established and the Newmark numerical method is used to solve the problem. Meanwhile the nonlinear dynamic behaviors of the system are illustrated by means of bifurcation diagrams，Poincaré maps，frequency spectrum diagrams，phase diagrams and orbit plots. …”
Get full text

Dynamic Analysis of Engine Bearings by H. Hirani, K. Athre, S. Biswas

“…The results obtained by present approximation are compared with those obtained by numerical method. The influence of thermal effects on the stiffness and damping coefficients is predicted by using a simplified thermal analysis. …”
Get full text

Damage tolerance analysis of aircraft reinforced panels by A. Pirondi, F. Carta

“…The purpose of the study is to validate a numerical method of analysis that can predict the damage tolerance of these reinforced panels. …”
Get full text

THERMAL COUPLED NUMERICAL SIMULATION OF COLD EXTRUSION AND THE OPTIMUM DESIGN OF DIE FOR THE INTERFERENCE FIT by WANG LiBo, LIU Yu, WANG Yu, QIN Yi

“…Though simulation the process of cold extrusion of scm435 alloy steel with thermo mechanical coupling numerical method,from shrinkage fit,placing the workpiece,extrusion,unloading,ejection of the workpiece,to cooling down workpiece and springback. …”
Get full text

Freeing the Serial Mechanism Designer from Inverse Kinematic Solvability Constraints by Diana C. W. Friedman, Tim Kowalewski, Radivoje Jovanovic, Jacob Rosen, Blake Hannaford

“…The inverse kinematics solution provides all possible solutions for any six degree-of-freedom serial manipulator, assuming that the forward kinematics are known and that it is possible to solve for the remaining joint angles if one joint angle’s value is known. With a fast numerical method and the current levels of computing power, designing a manipulator with closed-form inverse kinematics is no longer necessary. …”
Get full text

Study on the Influence of Tooth Surface Friction on Bifurcation Characteristic of Multiple Clearance Bending and Torsion Coupling Gear by Liu Zhiyu Liu Bo Dong Hao

“…The Runge-Kutta numerical method is used to solve the model, and the influence of tooth surface friction on the bifurcation characteristics of the system is analyzed with various parameters. …”
Get full text

Damage tolerance analysis of aircraft reinforced panels by F. Carta, A. Pirondi

“…The purpose of the study is to validate a numerical method of analysis that can predict the damage tolerance of these reinforced panels. …”
Get full text

Design and Motion Control of a Novel Weak-coupling Parallel Hip-joint Rehabilitation Mechanism by Xing Jiyuan, Xu Jilong, Liu Fucai

“…The human-machine forward kinematics model is established using the numerical method. The fuzzy adaptive proportional-derivative (PD) controller is designed based on the fuzzy control theory. …”
Get full text

Study on the Technical Status of Old Concrete Truss-Arch Bridge Based on Vehicle-Bridge Interaction by Renchao Xie, Ming Li, Chihao Xu

“…It can be concluded that the proposed numerical method can be widely used to assess the technical state of the old concrete truss-arch bridges in poor condition.…”
Get full text

Numerical modelling of residual stress redistribution induced by TIG-dressing by P. Ferro, F. Bonollo, F. Berto, A. Montanari

“…However, if the final weld toe geometry is supposed to be known or a-posteriori measured, a simplified numerical method can be used to simulate the residual stress redistribution that uses the activation-deactivation function of elements. …”
Get full text

Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method by Xiaofei Zhou, Junmei Li, Yulan Wang, Wei Zhang

“…Based on this problem, this paper introduces another novel numerical method to solve a class of hyperchaotic system. …”
Get full text

Study on the Steady-state Temperature Field of High Speed Spur Gear with Consideration of Elastohydrodynamic Lubrication by Fang Te, Liu Shaojun

“…Aiming at the real meshing state of high speed spur gear,the calculation mathematical model of line contact elastohydrodynamic lubrication is established,the model including Reynolds,elasticity and load balance equations etc. By using the numerical method,the friction factor of different meshing positions on the high speed spur gear under the elastohydrodynamic lubrication condition is solved. …”
Get full text

Calculation and Analysis of Spur Gear Mesh Stiffness with Considering Wear by Yang Liu, Xi Cui, Jiexin Wang

“…A numerical method is proposed to calculate the mesh stiffness of spur gear with considering wear based on the potential energy method and Archard wear equation. …”
Get full text

High Precise Scattering Centers Models for Cone-Shaped Targets Based on Induced Currents by Qi-Feng Li, Kun-Yi Guo, Xin-Qing Sheng, Tian-Shu Liu

“…In order to validate the scattering center model, numerical simulations of two cone-shaped targets are presented, and the accuracies of the models are validated through comparing the range profiles simulated by the models with those by a full-wave numerical method. The validation results demonstrate that this model is superior to the existing model in precisely characterizing the scattering centers induced by creeping waves.…”
Get full text

Fitted Tension Spline Scheme for a Singularly Perturbed Parabolic Problem With Time Delay by Sisay Ketema Tesfaye, Gemechis File Duressa, Tekle Gemechu Dinka, Mesfin Mekuria Woldaregay

“…To overcome this drawback, a numerical method comprising the backward Euler scheme in the time direction and the fitted spline scheme in the space direction on uniform meshes is proposed. …”
Get full text

Dynamic Characteristics of the Gear Transmission System of a Hybrid Vehicle by Qin Pengfei, Zhang Xiong, Chen Bin, Fan Li, Su Zhanling, Wang Ruohuang

“…Under the combined action of the eccentricity error, tooth frequency error, and time-varying meshing stiffness of each gear pair, the numerical method is used to solve the dynamic characteristics of the transmission gear under light-load, low-speed cruising and high-speed overtaking. …”
Get full text