Parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotors
A parallel algorithm of a numeric procedure based on a method of trigonometric collocation is presented for investigating an unbalance response of a rotor supported by journal bearings. After a condensation process the trigonometric collocation method results in a set of nonlinear algebraic equation...
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| Format: | Article |
| Language: | English |
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University of West Bohemia
2007-11-01
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| Series: | Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol1no2_p066.pdf |
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| author | Musil T. Jakl O. |
| author_facet | Musil T. Jakl O. |
| author_sort | Musil T. |
| collection | DOAJ |
| description | A parallel algorithm of a numeric procedure based on a method of trigonometric collocation is presented for investigating an unbalance response of a rotor supported by journal bearings. After a condensation process the trigonometric collocation method results in a set of nonlinear algebraic equations which is solved by the Newton-Raphson method. The order of the set is proportional to the number of nonlinear bearing coordinates and terms of the finite Fourier series. The algorithm, realized in the MATLAB parallel computing environment (DCT/DCE), uses message passing technique for interacting among processes on nodes of a parallel computer. This technique enables portability of the source code both on parallel computers with distributed and shared memory. Tests, made on a Beowulf cluster and a symmetric multiprocessor, have revealed very good speed-up and scalability of this algorithm. |
| first_indexed | 2024-12-21T06:46:24Z |
| format | Article |
| id | doaj.art-c0048c1f3ba74b1fbb1cb2eb63e2a4e7 |
| institution | Directory Open Access Journal |
| issn | 1802-680X |
| language | English |
| last_indexed | 2024-12-21T06:46:24Z |
| publishDate | 2007-11-01 |
| publisher | University of West Bohemia |
| record_format | Article |
| series | Applied and Computational Mechanics |
| spelling | doaj.art-c0048c1f3ba74b1fbb1cb2eb63e2a4e72022-12-21T19:12:35ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2007-11-0112555564Parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotorsMusil T.Jakl O.A parallel algorithm of a numeric procedure based on a method of trigonometric collocation is presented for investigating an unbalance response of a rotor supported by journal bearings. After a condensation process the trigonometric collocation method results in a set of nonlinear algebraic equations which is solved by the Newton-Raphson method. The order of the set is proportional to the number of nonlinear bearing coordinates and terms of the finite Fourier series. The algorithm, realized in the MATLAB parallel computing environment (DCT/DCE), uses message passing technique for interacting among processes on nodes of a parallel computer. This technique enables portability of the source code both on parallel computers with distributed and shared memory. Tests, made on a Beowulf cluster and a symmetric multiprocessor, have revealed very good speed-up and scalability of this algorithm.http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol1no2_p066.pdfRotor systemPeriodic responseTrigonometric collocationJournal bearingParallel computation |
| spellingShingle | Musil T. Jakl O. Parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotors Applied and Computational Mechanics Rotor system Periodic response Trigonometric collocation Journal bearing Parallel computation |
| title | Parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotors |
| title_full | Parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotors |
| title_fullStr | Parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotors |
| title_full_unstemmed | Parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotors |
| title_short | Parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotors |
| title_sort | parallel algorithm of trigonometric collocation method in nonlinear dynamics of rotors |
| topic | Rotor system Periodic response Trigonometric collocation Journal bearing Parallel computation |
| url | http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol1no2_p066.pdf |
| work_keys_str_mv | AT musilt parallelalgorithmoftrigonometriccollocationmethodinnonlineardynamicsofrotors AT jaklo parallelalgorithmoftrigonometriccollocationmethodinnonlineardynamicsofrotors |