Numerical and Experimental Approach for Identifying Elastic Parameters in Sandwich Plates by Sergio Ferreira Bastos, Lavinia Borges, Fernando A. Rochinha

“…The estimation of the elastic parameter problem is solved by minimizing the differences between the measured and the calculated natural frequencies. The numerical method to calculate the natural frequencies involves the formulation of Rayleigh-Ritz using a series of characteristic orthogonal polynomials to properly model the free edge boundary conditions. …”
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CALCULATION OF THERMAL STRESS ON SOLID SURFACE IN ELASTOHYDRODYNAMIC LUBRICATION OF LINE CONTACT by LU ZunYou, LV YanJun

“…Both the theory of thermoelasticity and the principle of heat and pressure conversion were introduced into the line contact thermal elastohydrodynamic lubrication,and the numerical method was given to realize the numerical solution of linear expansion coefficients of solid surfaces and solve the numerical calculation of thermal stress and thermal elastic deformation.The numerical results of both the lubrication characteristics and the thermal stresses satisfying the convergence precision were obtained and the influence of the linear load changes on the thermal stresses were discussed by some examples. …”
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Fatigue life assessment for a welded detail: advantages of a local energetic approach and experimental validation by Filippo Berto, Luigi Mario Viespoli, Aurelio Soma

“…The aim of the present work is to compare the results provided by some of the principal fatigue life assessment procedures for welded joints, focusing the attention on the stress intensity factor evaluation by the use of numerical methods. Finally the proposed numerical method has been experimentally validated.…”
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Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes by Omar Rabbani, Saqib Zia, Munshoor Ahmed, Asad Rehman, Ilyas Khan, Mulugeta Andualem

“…This scheme offers an effective numerical method for several continuum mechanics problems. …”
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Dynamics Characteristic Analysis of Planetary Gear Transmission System of 2.5MW Wind Turbine Under Varying Wind Load by Shi Qingjue, Wang Chunxiu, Mu Song, Shang Xin

“…A Dynamics model of 2. 5 MW wind turbine planetary gear transmission system is built by using lumped- parameter method.Considering the internal excitation such as the time- varying meshing stiffness and bearing stiffness,the numerical method is used to simulate the dynamics performance of planetary gear transmission system for 2. 5 MW wind turbine. …”
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The number of nonunimodular roots of a reciprocal polynomial by Stankov, Dragan

“…We present an algorithm for calculating the limit ratio and a numerical method for its approximation. We estimated the limit ratio for a family of polynomials deduced from the powers of a given Salem number. …”
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On a mathematical model of bone marrow metastatic niche by Ana Isabel Muñoz, J. Ignacio Tello

“…We also simulate the system to illustrate the qualitative behavior of the solutions. The numerical method of resolution is also presented in detail.…”
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Natural Frequency Analysis of Two Nonlinear Panels Coupled with a Cavity Using the Approximate Elliptic Integral Solution and the Method of Harmonic Residual Minimization by Y. Y. Lee

“…The results obtained from the proposed method approach are verified with those from a numerical method. The effects of vibration amplitude, gap width, aspect ratio, the numbers of acoustic modes and harmonic terms, and so forth on the resonant frequencies of the in-phase and out of phase modes are examined.…”
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Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients by Vladislav V. Kravchenko, Josafath A. Otero, Sergii M. Torba

“…In the paper, the Dirichlet boundary conditions are considered; however, the proposed method can be easily extended onto other standard boundary conditions. The proposed numerical method is shown to reveal good accuracy.…”
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Research on Pump Volute Design Method Using CFD by Sunsheng Yang, Fanyu Kong, Bin Chen

“…Volute is an important hydraulic part of centrifugal pump, hydraulic loss within pump volute takes up a large part of total hydraulic loss within pump, thus appropriate design of pump volute has significant meaning to centrifugal pump performance. In this paper, numerical method was adopted to investigate volute main geometric parameters, including volute throat area, volute cross-section shape, design rule of spiral development area, and radial gap between impeller and volute tongue to pump performance. …”
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Study on the Damping Mechanism of the Shrouded Blade considering Contact Features by Chaofeng Li, Tao Li, Ruihuan Qiao, Bangchun Wen

“…The influence of shroud structure’s parameters such as rotational speed, contact angle, friction coefficient, clearance, and shroud position on the damping effect of the shroud is reviewed by means of amplitude-frequency response and energy through the Newmark-β numerical method. The results demonstrate that the damping effect of the shroud by contact is more obvious than by friction and the amplitude-frequency curve of the shrouded blade shows a strong hard nonlinear phenomenon.…”
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Mathematical Model of Pipeline Abandonment and Recovery in Deepwater by Xia-Guang Zeng, Meng-Lan Duan, Chen An

“…Based on a traditional numerical method, the problem is solved directly by the proposed technique. …”
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Similarity Theory of Withdrawn Water Temperature Experiment by Yunpeng Han, Xueping Gao

“…Based on the similarity theory, an experiment was performed on the withdrawn water temperature which was verified by numerical method.…”
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Study on Relationship between Contact Stress Distribution Characteristic and Fatigue Spalling of Angular Contact Ball Bearing at High Speed by Chao Wan, Kang Zhang, Zeyu Tian, Xiangmin Chen, Luping Li

“…Taking the angular contact ball bearing as study object， based on the classical pseudo-statics model， considering the effect of inertia force on the rolling body under the condition of high rotation speed， the internal geometry relationship and force balance relationship expression of angular contact ball bearings are built， the characteristic parameters of the bearing at high speed are obtained through solving the model by numerical method. The accuracy of the model is verified by comparing the characteristic parameters to the literature. …”
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An Analytical Seismic Response for Rigid Underground Rectangular Tunnel Subjected to Incident P Waves by Yang Liu, Chun Bai, Hexiang Li

“…One particular advantage of the model is that the effects of vital factors such as the rigid scattering, radiation scattering, as well as the two-dimensional scattering effect, and the wedge diffraction during movement are fully considered. The numerical method is verified by comparing with experimental data and other solutions in the literature. …”
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An Efficient Hybrid Method for 3D Scattering from Inhomogeneous Object Buried beneath a Dielectric Randomly Rough Surface by Hong-jie He, Li-xin Guo, Wei Liu

“…An efficient iterative analytical-numerical method is proposed for three-dimensional (3D) electromagnetic scattering from an inhomogeneous object buried beneath a two-dimensional (2D) randomly dielectric rough surface. …”
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Analysis of Dynamic Behavior of Multiple-Stage Planetary Gear Train Used in Wind Driven Generator by Jungang Wang, Yong Wang, Zhipu Huo

“…Dynamic equation of the model is solved using numerical method to analyze the uniform load distribution of the system. …”
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Parameter uniform finite difference formulation with oscillation free for solving singularly perturbed delay parabolic differential equation via exponential spline by Zerihun Ibrahim Hassen, Gemechis File Duressa

“…In this layer the solution experiences steep gradients or oscillation so that traditional numerical methods may fail to provide smooth solutions. …”
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Finite Volume Method for a Time-Dependent Convection-Diffusion-Reaction Equation with Small Parameters by Uzair Ahmed, Daoud Suleiman Mashat, Dalal Adnan Maturi

“…The efficiency of solving computationally partial differential equations can be illustrated by using a precise numerical method that yields remarkable precision at a low cost. …”
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Study and Design of Permanent Magnetic Levitation Roller of Belt Conveyor by Wu Huachun, Ren Yongwu, Yu Haitao, Shi Mengyao

“…By comparing with the finite element numerical method,the rationality of the permanent magnetic bearing designed by using equivalent magnetic charge method is verified. …”
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