Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping due to Tip-Rub
An approximate approach is proposed in this paper for analyzing the two-dimensional friction contact problem so as to compute the dynamic response of a structure constrained by friction interfaces due to tip-rub. The dynamical equation of motion for a rotational cantilever blade in a centrifugal for...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0600 |
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| _version_ | 1849308614610649088 |
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| author | Dengqing Cao Xiaochun Gong Dong Wei Shiming Chu Ligang Wang |
| author_facet | Dengqing Cao Xiaochun Gong Dong Wei Shiming Chu Ligang Wang |
| author_sort | Dengqing Cao |
| collection | DOAJ |
| description | An approximate approach is proposed in this paper for analyzing the two-dimensional friction contact problem so as to compute the dynamic response of a structure constrained by friction interfaces due to tip-rub. The dynamical equation of motion for a rotational cantilever blade in a centrifugal force field is established. Flow-induced distributed periodic forces and the internal material damping in the blade are accounted for in the governing equation of motion. The Galerkin method is employed to obtain a three-degree-of-freedom oscillator with friction damping due to tip-rub. The combined motion of impact and friction due to tip-rub produced a piecewise linear vibration which is actually nonlinear. Thus, a complete vibration cycle is divided into successive intervals. The system possesses linear vibration characteristic during each of these intervals, which can be determined using analytical solution forms. Numerical simulation shows that the parameters such as gap of the tip and the rotational speed of the blades have significant effects on the dynamical responses of the system. Finally, the nonlinear vibration characteristics of the blade are investigated in terms of the Poincare graph, and the frequency spectrum of the responses and the amplitude-frequency curves. |
| format | Article |
| id | doaj-art-1b40b4eae3f54da0b3edf759cea15d41 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-1b40b4eae3f54da0b3edf759cea15d412025-08-20T03:54:24ZengWileyShock and Vibration1070-96221875-92032011-01-01181-210511410.3233/SAV-2010-0600Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping due to Tip-RubDengqing Cao0Xiaochun Gong1Dong Wei2Shiming Chu3Ligang Wang4School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin 150001, ChinaSchool of Science, Harbin Engineering University, Harbin 150001, ChinaAn approximate approach is proposed in this paper for analyzing the two-dimensional friction contact problem so as to compute the dynamic response of a structure constrained by friction interfaces due to tip-rub. The dynamical equation of motion for a rotational cantilever blade in a centrifugal force field is established. Flow-induced distributed periodic forces and the internal material damping in the blade are accounted for in the governing equation of motion. The Galerkin method is employed to obtain a three-degree-of-freedom oscillator with friction damping due to tip-rub. The combined motion of impact and friction due to tip-rub produced a piecewise linear vibration which is actually nonlinear. Thus, a complete vibration cycle is divided into successive intervals. The system possesses linear vibration characteristic during each of these intervals, which can be determined using analytical solution forms. Numerical simulation shows that the parameters such as gap of the tip and the rotational speed of the blades have significant effects on the dynamical responses of the system. Finally, the nonlinear vibration characteristics of the blade are investigated in terms of the Poincare graph, and the frequency spectrum of the responses and the amplitude-frequency curves.http://dx.doi.org/10.3233/SAV-2010-0600 |
| spellingShingle | Dengqing Cao Xiaochun Gong Dong Wei Shiming Chu Ligang Wang Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping due to Tip-Rub Shock and Vibration |
| title | Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping due to Tip-Rub |
| title_full | Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping due to Tip-Rub |
| title_fullStr | Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping due to Tip-Rub |
| title_full_unstemmed | Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping due to Tip-Rub |
| title_short | Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping due to Tip-Rub |
| title_sort | nonlinear vibration characteristics of a flexible blade with friction damping due to tip rub |
| url | http://dx.doi.org/10.3233/SAV-2010-0600 |
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