A Boundary Element Model Applied to the Simulation of Journal Bearings

α
Carlos Friedrich Loeffler
Carlos Friedrich Loeffler
σ
Julio Tomás Aquije Chacaltana
Julio Tomás Aquije Chacaltana
ρ
Antonio Manoel Ferreira Frasson
Antonio Manoel Ferreira Frasson
α Universidade Federal do Espírito Santo Universidade Federal do Espírito Santo

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A Boundary Element Model Applied to the Simulation of Journal Bearings

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Abstract

The Boundary Element Method presents difficulties for solving certain problems that include sources, body and inertia forces or other cases whose mathematical model includes non self-adjoint terms. This avoids the desired representation of the problem solely in terms of boundary integrals. In this work, a new strategy is presented to overcome that problem through the use of Radial basis functions. Two formulations of this kind are used for solving the distribution of the pressure field generated in a hydrodynamic journal bearing. The partial differential equation of this problem has variable coefficients and cannot be rewritten directly as boundary integrals. Numerical solutions for the 1D and 2D problems are presented and their results are compared with the available analytical solutions or then obtained with the application of the finite element method.

References

14 Cites in Article
  1. C Brebbia (1978). Boundary element techniques in computer aided engineering.
  2. C Brebbia,J Telles,L Wrobel (1984). Boundary Element Techniques.
  3. C Brebbia,S Walker (1980). Elastostatics.
  4. X Gao (2002). The radial integration method for evaluation of domain integrals with boundary-only discretization.
  5. M Golberg,C Chen (1994). The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations.
  6. C Loeffler,W Mansur (2003). Quasi-Dual Reciprocity Boundary Element Method for Incompressible Flow: Application to the Diffusive-Advective Equation.
  7. Carlos Loeffler,Átila Cruz,André Bulcão (2015). Direct use of radial basis interpolation functions for modelling source terms with the boundary element method.
  8. Carlos Loeffler,Webe Mansur,Hércules Barcelos,André Bulcão (2015). Solving Helmholtz problems with the boundary element method using direct radial basis function interpolation.
  9. Carlos Loeffler,Webe Mansur (2017). A regularization scheme applied to the direct interpolation boundary element technique with radial basis functions for solving eigenvalue problem.
  10. K Panday,P Choudhury,N Kumar (2012). Numerical Unsteady Analysis of Thin Film Lubricated Journal Bearing.
  11. P Partridge,C Brebbia,L Wrobel (1992). Conclusions.
  12. M Raisinghania (2011). Integral Equations.
  13. J Reddy (2005). An Introduction to the Finite Element Method.
  14. J Shigley,L Mitchell,H Saunders (2003). Mechanical Engineering Design (4th Ed.).

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Carlos Friedrich Loeffler. 2019. \u201cA Boundary Element Model Applied to the Simulation of Journal Bearings\u201d. Global Journal of Research in Engineering - A : Mechanical & Mechanics GJRE-A Volume 19 (GJRE Volume 19 Issue A1): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords
Classification
GJRE-A Classification: FOR Code: 091399
Version of record

v1.2

Issue date

January 17, 2019

Language
en
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The Boundary Element Method presents difficulties for solving certain problems that include sources, body and inertia forces or other cases whose mathematical model includes non self-adjoint terms. This avoids the desired representation of the problem solely in terms of boundary integrals. In this work, a new strategy is presented to overcome that problem through the use of Radial basis functions. Two formulations of this kind are used for solving the distribution of the pressure field generated in a hydrodynamic journal bearing. The partial differential equation of this problem has variable coefficients and cannot be rewritten directly as boundary integrals. Numerical solutions for the 1D and 2D problems are presented and their results are compared with the available analytical solutions or then obtained with the application of the finite element method.

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A Boundary Element Model Applied to the Simulation of Journal Bearings

Carlos Friedrich Loeffler
Carlos Friedrich Loeffler Universidade Federal do Espírito Santo
Julio Tomás Aquije Chacaltana
Julio Tomás Aquije Chacaltana
Antonio Manoel Ferreira Frasson
Antonio Manoel Ferreira Frasson

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