The rotating blade is simplified as a rotating cylindrical panel with a presetting angle and a pretwist angle. Nonlinear dynamic behaviors of the rotating cylindrical panel under higher-frequency primary resonance and lower-frequency primary resonance in the presence of 1:2 internal resonance are discussed. We use the Green strain tensor to derive an strain-displacement relationship. Based on the first-order shear deformation theory, Hamilton principle and Galerkin method is utilized to acquire nonlinear ordinary differential equations of the system, which contains coupling between linear stiffness terms of the two transverse modes. The modulation equations are obtained by using the method of multiple scales. Matcont package is used to portray frequency-amplitude response curves and force-amplitude response curves of the system under higher-frequency primary resonance and lower-frequency primary resonance.
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ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 26–29, 2018
Quebec City, Quebec, Canada
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5183-8
PROCEEDINGS PAPER
Nonlinear Resonance Behaviors of Rotating Pretwisted Cylindrical Panels
Ming Hui Yao,
Ming Hui Yao
Beijing University of Technology, Beijing, China
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Yan Niu,
Yan Niu
Beijing University of Technology, Beijing, China
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Wei Zhang
Wei Zhang
Beijing University of Technology, Beijing, China
Search for other works by this author on:
Ming Hui Yao
Beijing University of Technology, Beijing, China
Yan Niu
Beijing University of Technology, Beijing, China
Wei Zhang
Beijing University of Technology, Beijing, China
Paper No:
DETC2018-85661, V006T09A037; 7 pages
Published Online:
November 2, 2018
Citation
Yao, MH, Niu, Y, & Zhang, W. "Nonlinear Resonance Behaviors of Rotating Pretwisted Cylindrical Panels." Proceedings of the ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 6: 14th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Quebec City, Quebec, Canada. August 26–29, 2018. V006T09A037. ASME. https://doi.org/10.1115/DETC2018-85661
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