Variational Formulation and Associated Algorithm for the Starved Finite Journal Bearing

1983 ◽  
Vol 105 (3) ◽  
pp. 453-457 ◽  
Author(s):  
G. Bayada
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Formulation ◽  
Flow Parameter ◽  
Journal Bearing ◽  
Numerical Treatment ◽  
Inlet Flow ◽  
Variational Form ◽  
Element Method

This paper is a contribution to the numerical treatment of the cavitation in a finite journal bearing when starvation takes place. A new variational form taking account the inlet flow parameter is given and allows us to compute rupture and reformation boundary together with the performances of the bearing via finite element method.

Convergence analysis of a finite element method for second order non-variational elliptic problems

2017 ◽  
Vol 25 (3) ◽  
Author(s):  
Michael Neilan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Partial Differential Equations ◽  
Convergence Analysis ◽  
Finite Element Methods ◽  
Elliptic Partial Differential Equations ◽  
The Finite Element Method ◽  
Variational Form ◽  
The One ◽  
Element Method

AbstractWe introduce and analyze a family of finite element methods for elliptic partial differential equations in non-variational form with non-differentiable coefficients. The finite element method studied is a variant of the one recently proposed in [Lakkis & Pryer,

A study of slot-entry hydrostatic/hybrid journal bearing using the finite element method

1999 ◽  
Vol 32 (4) ◽  
pp. 185-196 ◽  
Author(s):  
Satish C Sharma ◽  
Vijay Kumar ◽  
S.C Jain ◽  
R Sinhasan ◽  
M Subramanian
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Journal Bearing ◽  
The Finite Element Method ◽  
Element Method

Static and Dynamic Analysis of Capillary Compensated Hydrostatic Journal Bearings by Finite Element Method

1977 ◽  
Vol 99 (4) ◽  
pp. 478-484 ◽  
Author(s):  
D. V. Singh ◽  
R. Sinhasan ◽  
R. C. Ghai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Journal Bearing ◽  
Dynamic Performance ◽  
Critical Mass ◽  
Equations Of Motion ◽  
Stability Studies ◽  
Static And Dynamic Analysis ◽  
Bearing System ◽  
Element Method

Using finite element method steady state and dynamic performance of a capillary compensated hydrostatic journal bearing have been investigated. For stability studies, the critical mass of the bearing system has been determined by Routh’s criterion. The locus of the journal center has been predicted by discretizing time and numerically integrating the equations of motion governing the journal bearing system.

A Robust Discontinuous Galerkin High-Order Finite Element Method for Elasticity Problems with Interfaces

2019 ◽  
Vol 17 (09) ◽  
pp. 1950076 ◽  
Author(s):  
Jianfei Zhang ◽  
Xiaowei Deng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Discontinuous Galerkin ◽  
Element Formulation ◽  
Element Level ◽  
Elasticity Problems ◽  
Dg Method ◽  
Variational Form ◽  
Stabilization Parameter ◽  
Element Method

A robust discontinuous Galerkin (DG) finite element method is proposed for elasticity problems with interfaces, where the continuity across the interfaces is weakly enforced by using Nitsche’s method. We employ a weighting for the interfacial consistency terms arising in the Nitsche variational form and present a detailed finite element formulation of this DG method. The stabilization parameter is evaluated by solving element level generalized eigenvalue problem for higher-order elements. Consequently, we give the choice of the weighting parameter that results in an estimate for the stabilization parameter such that the method remains well behaved in the pathological cases. The accuracy and robustness of the proposed method are then demonstrated through several numerical examples.

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