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Original Articles

An Evaluation of Finite Difference and Finite Element Methods for the Solution of the Reynolds Equation

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Pages 166-172 | Published online: 25 Mar 2008

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Read on this site (6)

Xinkuan Wang, Qiao Xu, Baorui Wang, Lianxin Zhang, Hong Yang & Zhike Peng. (2017) Numerical Calculation of Rotation Effects on Hybrid Air Journal Bearings. Tribology Transactions 60:2, pages 195-207.
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Nenzi Wang & Chinyuan Chang. (1999) An Application of Newton's Method to the Lubrication Analysis of Air-Lubricated Bearings. Tribology Transactions 42:2, pages 419-424.
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P. Basu. (1992) Analysis of a Radial Groove Gas Face Seal. Tribology Transactions 35:1, pages 11-20.
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C.M. Ettles & H.G. Anderson. (1990) The Use of Higher Order Finite Element Methods for the Solution of Reynolds' Equation. Tribology Transactions 33:2, pages 163-170.
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T.A. El-Sayed, Michael I. Friswell & Hussein Sayed. (2023) Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines. Tribology International 187, pages 108669.
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Yangong Wu, Zheng Qiao, Wentao Chen, Jiadai Xue & Bo Wang. (2022) Evaluation and Application of an Engineering Calculation Method of the Static Performance of an Aerostatic Journal Bearing with Multiple Orifice-Type Restrictors. Lubricants 10:12, pages 332.
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Bao Zhang, Ke Jin, Yong Kou, Xiaojing Zheng & Yulong Li. (2022) Modelling of magneto-electro-thermo-mechanical coupled behavior of the lubricating liquid film for the electromagnetic launch. International Journal of Heat and Mass Transfer 196, pages 123267.
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Hussein Sayed & T.A. El-Sayed. (2022) A novel method to evaluate the journal bearing forces with application to flexible rotor model. Tribology International 173, pages 107593.
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Yuanyuan Liu, Xiaodong Sun, Kian K. Sepahvand & Steffen Marburg. (2021) Theoretical analysis on the static and dynamic performances of a squeeze film air journal bearing with three separate pads structure. International Journal of Mechanical Sciences 200, pages 106442.
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Simon Pfeil, Hauke Gravenkamp, Fabian Duvigneau & Elmar Woschke. (2021) Scaled boundary finite element method for hydrodynamic bearings in rotordynamic simulations. International Journal of Mechanical Sciences 199, pages 106427.
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Yazhe Li, Kai Zhou & Zhen Zhang. (2019) The flow-difference feedback iteration method for aerostatic thrust bearings and its convergence characteristics. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 233:11, pages 1743-1752.
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Qiang Gao, Wanqun Chen, Lihua Lu, Dehong Huo & Kai Cheng. (2019) Aerostatic bearings design and analysis with the application to precision engineering: State-of-the-art and future perspectives. Tribology International 135, pages 1-17.
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JianLin Zhong, DaWei Ma, Jie Ren & Lin Yao. (2019) Lubrication performance analysis of sealing structures in rodless open cylinders. Sādhanā 44:4.
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E. Woschke, C. Daniel & S. Nitzschke. (2017) Excitation mechanisms of non-linear rotor systems with floating ring bearings - simulation and validation. International Journal of Mechanical Sciences 134, pages 15-27.
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Yazhe Li, Kai Zhou & Zhen Zhang. (2015) A flow-difference feedback iteration method and its application to high-speed aerostatic journal bearings. Tribology International 84, pages 132-141.
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ZeGuang Dong, Ye Ding, PinKuan Liu & Han Ding. (2013) On the analysis of aerostatic thrust bearings with the differential quadrature method. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 228:2, pages 232-240.
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Cheng-Chi Wang, Chin-Chia Liu & Chi-Chang Wang. (2014) Bifurcation and Nonlinear Dynamic Analysis of Externally Pressurized Double Air Films Bearing System. Mathematical Problems in Engineering 2014, pages 1-12.
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Yuntang Li & Han Ding. (2012) A simplified calculation method on the performance analysis of aerostatic thrust bearing with multiple pocketed orifice-type restrictors. Tribology International 56, pages 66-71.
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Cheng-Chi Wang. (2012) Bifurcation and nonlinear dynamic analysis of united gas-lubricated bearing system. Computers & Mathematics with Applications 64:5, pages 729-738.
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Cheng-Chi Wang. (2010) Bifurcation Analysis of High Speed Spindle Air Bearings. Journal of Vibration and Control 17:1, pages 103-114.
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Cheng-Chi Wang & Her-Terng Yau. (2010) Theoretical analysis of high speed spindle air bearings by a hybrid numerical method. Applied Mathematics and Computation 217:5, pages 2084-2096.
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Cheng-Ying Lo, Cheng-Chi Wang & Yu-Han Lee. (2005) Performance analysis of high-speed spindle aerostatic bearings. Tribology International 38:1, pages 5-14.
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L. Yobas, M.A. Huff, F.J. Lisy & D.M. Durand. (2001) A novel bulk micromachined electrostatic microvalve with a curved-compliant structure applicable for a pneumatic tactile display. Journal of Microelectromechanical Systems 10:2, pages 187-196.
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J.K. Martin. (1999) A mathematical model and numerical solution technique for a novel adjustable hydrodynamic bearing. International Journal for Numerical Methods in Fluids 30:7, pages 845-864.
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