F-6-2-1 New Analytical Model for Three-dimensional Elastic Vibration of Railway Vehicle Carbody

2002 ◽  
Vol 2002 (0) ◽  
pp. 528-535 ◽  
Author(s):  
Takahiro TOMIOKA ◽  
Yasufumi SUZUKI ◽  
Jun AOKI
Keyword(s):  
Analytical Model ◽  
Three Dimensional ◽  
Elastic Vibration ◽  
Railway Vehicle

A three-dimensional analytical model and parameter determination method of the elastic vibration of a railway vehicle carbody

2019 ◽  
Vol 58 (4) ◽  
pp. 545-568 ◽  
Author(s):  
Yuki Akiyama ◽  
Takahiro Tomioka ◽  
Tadao Takigami ◽  
Ken-ichiro Aida ◽  
Takayoshi Kamada
Keyword(s):  
Analytical Model ◽  
Three Dimensional ◽  
Elastic Vibration ◽  
Parameter Determination ◽  
Railway Vehicle ◽  
Determination Method

scholarly journals Three-dimensional tidal flow in a fjord-like basin with converging width: An analytical model

2017 ◽  
Vol 122 (9) ◽  
pp. 7558-7576 ◽  
Author(s):  
Lauren Ross ◽  
Huib de Swart ◽  
Erik Ensing ◽  
Arnoldo Valle-Levinson
Keyword(s):  
Analytical Model ◽  
Tidal Flow ◽  
Three Dimensional

Time-varying mesh stiffness calculation for gear pairs with misalignment errors in multiple degrees of freedom based on an analytical method

2021 ◽  
pp. 095440622110392
Author(s):  
Qi Wen ◽  
Qi Chen ◽  
Qungui Du ◽  
Yong Yang
Keyword(s):  
Analytical Model ◽  
Contact Line ◽  
Degrees Of Freedom ◽  
Three Dimensional ◽  
Single Pair ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Position Change ◽  
Multiple Degrees Of Freedom ◽  
Effective Contact

Misalignment errors (MEs) in multiple degrees of freedom (multi-DOFs) at the mesh position will lead to a change in the time-varying mesh stiffness (TVMS) and then affect the dynamic behaviour of gear pairs. Therefore, a new, more rapid, three-dimensional analytical model for TVMS calculation for gear pairs with three rotational and three translational MEs is established in this paper, and a new solution method based on potential energy theory is presented. In addition, the correctness of the new model is verified by the finite element method (FEM). Moreover, the effective contact line, uneven distribution of mesh force on the contact line, and mesh position change are taken into account. Finally, the TVMS under different ME conditions is calculated with the new analytical model. The results showed that the different MEs have dissimilar effects on the TVMS, and the relationship between the ME and TVMS is nonlinear. In addition, the region of single-pair and double-pair teeth in contact would also change with ME.

Secondary Fluorescence of 3D Heterogeneous Materials Using a Hybrid Model

2020 ◽  
Vol 26 (3) ◽  
pp. 484-496
Author(s):  
Yu Yuan ◽  
Hendrix Demers ◽  
Xianglong Wang ◽  
Raynald Gauvin
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Analytical Model ◽  
Hybrid Model ◽  
Three Dimensional ◽  
Heterogeneous Materials ◽  
X Ray ◽  
The Monte Carlo Method ◽  
Secondary Fluorescence ◽  
Good Agreement

AbstractIn electron probe microanalysis or scanning electron microscopy, the Monte Carlo method is widely used for modeling electron transport within specimens and calculating X-ray spectra. For an accurate simulation, the calculation of secondary fluorescence (SF) is necessary, especially for samples with complex geometries. In this study, we developed a program, using a hybrid model that combines the Monte Carlo simulation with an analytical model, to perform SF correction for three-dimensional (3D) heterogeneous materials. The Monte Carlo simulation is performed using MC X-ray, a Monte Carlo program, to obtain the 3D primary X-ray distribution, which becomes the input of the analytical model. The voxel-based calculation of MC X-ray enables the model to be applicable to arbitrary samples. We demonstrate the derivation of the analytical model in detail and present the 3D X-ray distributions for both primary and secondary fluorescence to illustrate the capability of our program. Examples for non-diffusion couples and spherical inclusions inside matrices are shown. The results of our program are compared with experimental data from references and with results from other Monte Carlo codes. They are found to be in good agreement.

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