Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing

The knowledge of static and dynamic characteristics of journal bearings is crucial for the accurate detennination of the critical speed of a shaft and also for studying the stability of the rotating shaft against self-excited vibrations. These characteristics are detennined from the solutions...

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Main Author:	Yaacob, Zaihar
Format:	Thesis
Language:	English English English
Published:	2005
Subjects:	TJ Mechanical engineering and machinery TJ1040-1119 Machinery exclusive of prime movers
Online Access:	http://eprints.uthm.edu.my/8006/1/24p%20ZAIHAR%20YAACOB.pdf http://eprints.uthm.edu.my/8006/2/ZAIHAR%20YAACOB%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/8006/3/ZAIHAR%20YAACOB%20WATERMARK.pdf
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spelling	my-uthm-ep.80062022-11-13T07:24:07Z Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing 2005-12 Yaacob, Zaihar TJ Mechanical engineering and machinery TJ1040-1119 Machinery exclusive of prime movers The knowledge of static and dynamic characteristics of journal bearings is crucial for the accurate detennination of the critical speed of a shaft and also for studying the stability of the rotating shaft against self-excited vibrations. These characteristics are detennined from the solutions of Reynolds equation numerically using finite difference methods with successive over relaxation technique (SOR). In order to implement SOR effectively, the optimum value for over relaxation factor Q had to be found first. In this thesis, the exact value of Q was calculated by using a fornmla proposed by G.D. Smith. Khonsari and Booser (K&B) found the value of Q, by trial and error which is not exact and time consuming. While Orcutt and Arwas (O&A) used Gauss-Seidel technique which has a much slower convergence rate compared to SOR, also they used two convergence limits which had to be satisfied before tenninations of the iteration procedure. This thesis is intended to improve both works by calculating the exact value for Q and employed the SOR technique using only one convergence limit. The dynamic coefficients were then used as an input data for studying the stability characteristics of the rotor-bearing system and the threshold of instability were also plot. The computer program was written using FORTRAN 95 programming language and run in the Microsoft Developer Studio environment. Method in this thesis shows that the time taken for a complete solution for the steady state and dynamic characteristics of a cylindrical bore bearing were greatly shortened in tenns of number of iterations (about 90%) and the automatic calculation of Q. The accuracy of the results were good with less than 10% in difference when compared to results from both K&B and O&A. It is then concluded that the finite difference method and successive over relaxation technique used in this thesis can predict accurately and effectively the static and dynamic characteristics of a cylindrical bore bearing. 2005-12 Thesis http://eprints.uthm.edu.my/8006/ http://eprints.uthm.edu.my/8006/1/24p%20ZAIHAR%20YAACOB.pdf text en public http://eprints.uthm.edu.my/8006/2/ZAIHAR%20YAACOB%20COPYRIGHT%20DECLARATION.pdf text en staffonly http://eprints.uthm.edu.my/8006/3/ZAIHAR%20YAACOB%20WATERMARK.pdf text en validuser mphil masters Kolej Universiti Teknologi Tun Hussein Onn Fakulti Kejuruteraan Mekanikal dan Pembuatan
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English English
topic	TJ Mechanical engineering and machinery TJ1040-1119 Machinery exclusive of prime movers
spellingShingle	TJ Mechanical engineering and machinery TJ1040-1119 Machinery exclusive of prime movers Yaacob, Zaihar Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing
description	The knowledge of static and dynamic characteristics of journal bearings is crucial for the accurate detennination of the critical speed of a shaft and also for studying the stability of the rotating shaft against self-excited vibrations. These characteristics are detennined from the solutions of Reynolds equation numerically using finite difference methods with successive over relaxation technique (SOR). In order to implement SOR effectively, the optimum value for over relaxation factor Q had to be found first. In this thesis, the exact value of Q was calculated by using a fornmla proposed by G.D. Smith. Khonsari and Booser (K&B) found the value of Q, by trial and error which is not exact and time consuming. While Orcutt and Arwas (O&A) used Gauss-Seidel technique which has a much slower convergence rate compared to SOR, also they used two convergence limits which had to be satisfied before tenninations of the iteration procedure. This thesis is intended to improve both works by calculating the exact value for Q and employed the SOR technique using only one convergence limit. The dynamic coefficients were then used as an input data for studying the stability characteristics of the rotor-bearing system and the threshold of instability were also plot. The computer program was written using FORTRAN 95 programming language and run in the Microsoft Developer Studio environment. Method in this thesis shows that the time taken for a complete solution for the steady state and dynamic characteristics of a cylindrical bore bearing were greatly shortened in tenns of number of iterations (about 90%) and the automatic calculation of Q. The accuracy of the results were good with less than 10% in difference when compared to results from both K&B and O&A. It is then concluded that the finite difference method and successive over relaxation technique used in this thesis can predict accurately and effectively the static and dynamic characteristics of a cylindrical bore bearing.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Yaacob, Zaihar
author_facet	Yaacob, Zaihar
author_sort	Yaacob, Zaihar
title	Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing
title_short	Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing
title_full	Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing
title_fullStr	Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing
title_full_unstemmed	Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing
title_sort	successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing
granting_institution	Kolej Universiti Teknologi Tun Hussein Onn
granting_department	Fakulti Kejuruteraan Mekanikal dan Pembuatan
publishDate	2005
url	http://eprints.uthm.edu.my/8006/1/24p%20ZAIHAR%20YAACOB.pdf http://eprints.uthm.edu.my/8006/2/ZAIHAR%20YAACOB%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/8006/3/ZAIHAR%20YAACOB%20WATERMARK.pdf
_version_	1776103279376203776

Successive over relaxation technique for steady state and dynamic characteristics of a cylindrical bore bearing

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