Perturbation analysis and chaotic dynamics of the rotating blade with varying angular speed are investigated. Centrifugal force, aerodynamic load and the perturbed angular speed due to the inconstant air velocity are considered. The rotating blade is treated as a pre-twist, presetting, thin-walled rotating cantilever beam. The nonlinear governing partial differential equations of the varying angular rotating blade are established by using Hamilton’s principle. Then, the ordinary differential equations of the rotating blade are obtained by employing the Galerkin’s approach during which Galerkin’s modes satisfy corresponding boundary conditions. The four-dimensional nonlinear averaged equations are obtained by applying the method of multiple scales. In this paper, the resonant case is 1:2 internal resonance-1/2 subharmonic resonance. The numerical simulation is used to investigate chaotic dynamics of the varying angular rotating blade. The results show that the system is sensitive to the rotating speed and there are chaotic motions.
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ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 28–31, 2011
Washington, DC, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
978-0-7918-5481-5
PROCEEDINGS PAPER
Perturbation Analysis and Chaotic Dynamics of Rotating Blade With Varying Angular Speed Available to Purchase
Yan-ping Chen,
Yan-ping Chen
Beijing University of Technology, Beijing, China
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Ming-Hui Yao,
Ming-Hui Yao
Beijing University of Technology, Beijing, China
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Wei Zhang,
Wei Zhang
Beijing University of Technology, Beijing, China
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Qian Wang
Qian Wang
Beijing University of Technology, Beijing, China
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Yan-ping Chen
Beijing University of Technology, Beijing, China
Ming-Hui Yao
Beijing University of Technology, Beijing, China
Wei Zhang
Beijing University of Technology, Beijing, China
Qian Wang
Beijing University of Technology, Beijing, China
Paper No:
DETC2011-47359, pp. 571-579; 9 pages
Published Online:
June 12, 2012
Citation
Chen, Y, Yao, M, Zhang, W, & Wang, Q. "Perturbation Analysis and Chaotic Dynamics of Rotating Blade With Varying Angular Speed." Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B. Washington, DC, USA. August 28–31, 2011. pp. 571-579. ASME. https://doi.org/10.1115/DETC2011-47359
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