The solution of non-linear hyperbolic equation systems by the finite element method

1984 ◽  
Vol 4 (11) ◽  
pp. 1043-1063 ◽  
Author(s):  
R. Löhner ◽  
K. Morgan ◽  
O. C. Zienkiewicz
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Hyperbolic Equation ◽  
The Finite Element Method ◽  
Linear Hyperbolic Equation ◽  
Non Linear ◽  
Element Method

Combining regression trees and the finite element method to define stress models of highly non-linear mechanical systems

2009 ◽  
Vol 44 (6) ◽  
pp. 491-502 ◽  
Author(s):  
R Lostado ◽  
F J Martínez-De-Pisón ◽  
A Pernía ◽  
F Alba ◽  
J Blanco
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mechanical Systems ◽  
Regression Trees ◽  
Support Vector ◽  
The Finite Element Method ◽  
Multiple Contacts ◽  
Non Linear ◽  
Instance Space ◽  
Element Method

This paper demonstrates that combining regression trees with the finite element method (FEM) may be a good strategy for modelling highly non-linear mechanical systems. Regression trees make it possible to model FEM-based non-linear maps for fields of stresses, velocities, temperatures, etc., more simply and effectively than other techniques more widely used at present, such as artificial neural networks (ANNs), support vector machines (SVMs), regression techniques, etc. These techniques, taken from Machine Learning, divide the instance space and generate trees formed by submodels, each adjusted to one of the data groups obtained from that division. This local adjustment allows good models to be developed when the data are very heterogeneous, the density is very irregular, and the number of examples is limited. As a practical example, the results obtained by applying these techniques to the analysis of a vehicle axle, which includes a preloaded bearing and a wheel, with multiple contacts between components, are shown. Using the data obtained with FEM simulations, a regression model is generated that makes it possible to predict the contact pressures at any point on the axle and for any condition of load on the wheel, preload on the bearing, or coefficient of friction. The final results are compared with other classical linear and non-linear model techniques.

scholarly journals Non-linear analysis and warping of tubular pipe conveyors by the finite element method

2007 ◽  
Vol 46 (1-2) ◽  
pp. 95-108 ◽  
Author(s):  
J.J. del Coz Díaz ◽  
P.J. García Nieto ◽  
J.A. Vilán Vilán ◽  
A. Martín Rodríguez ◽  
J.R. Prado Tamargo ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Analysis ◽  
The Finite Element Method ◽  
Non Linear ◽  
Element Method

Non-linear thermal analysis of light concrete hollow brick walls by the finite element method and experimental validation

2006 ◽  
Vol 26 (8-9) ◽  
pp. 777-786 ◽  
Author(s):  
J.J. del Coz Díaz ◽  
P.J. García Nieto ◽  
A. Martín Rodríguez ◽  
A. Lozano Martínez-Luengas ◽  
C. Betegón Biempica
Keyword(s):  
Finite Element Method ◽  
Thermal Analysis ◽  
Finite Element ◽  
Experimental Validation ◽  
The Finite Element Method ◽  
Non Linear ◽  
Hollow Brick ◽  
Element Method
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