Modal analysis of a rotating thin plate is made in this paper through the use of the thin plate elements described by the absolute nodal coordinate formulation (ANCF). The analytical expressions of elastic forces and their Jacobian matrices of the thin plate elements are derived and expressed in a computationally efficient way. The static analysis of a cantilever thin plate and the modal analysis of a square thin plate with completely free boundaries are made to validate the derived formulations. The modal analysis of a rotating cantilever thin plate based on the ANCF is studied. The effect of rotating angular velocity on the natural frequencies is investigated. The eigenvalue loci veering and crossing phenomena along with the corresponding modeshape variations are observed and carefully discussed. Finally, the effects of dimensional parameters on the dimensionless natural frequencies of the thin plate are studied.
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e-mail: zhaojiang@nuaa.edu.cn
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e-mail: hhyae@nuaa.edu.cn
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October 2011
Research Papers
Modal Analysis of a Rotating Thin Plate via Absolute Nodal Coordinate Formulation
Jiang Zhao,
Jiang Zhao
MOE Key Laboratory of Mechanics and Control for Aerospace Structures,
e-mail: zhaojiang@nuaa.edu.cn
Nanjing University of Aeronautics and Astronautics
, 210016 Nanjing, China
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Qiang Tian,
Qiang Tian
Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering,
e-mail: tianqiang_hust@yahoo.com.cn
Beijing Institute of Technology
, 100081 Beijing, China
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Haiyan Hu
Haiyan Hu
MOE Key Laboratory of Mechanics and Control for Aerospace Structures,
e-mail: hhyae@nuaa.edu.cn
Nanjing University of Aeronautics and Astronautics
, 210016 Nanjing, China; Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology
, 100081 Beijing, China
Search for other works by this author on:
Jiang Zhao
MOE Key Laboratory of Mechanics and Control for Aerospace Structures,
Nanjing University of Aeronautics and Astronautics
, 210016 Nanjing, Chinae-mail: zhaojiang@nuaa.edu.cn
Qiang Tian
Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering,
Beijing Institute of Technology
, 100081 Beijing, Chinae-mail: tianqiang_hust@yahoo.com.cn
Haiyan Hu
MOE Key Laboratory of Mechanics and Control for Aerospace Structures,
Nanjing University of Aeronautics and Astronautics
, 210016 Nanjing, China; Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology
, 100081 Beijing, Chinae-mail: hhyae@nuaa.edu.cn
J. Comput. Nonlinear Dynam. Oct 2011, 6(4): 041013 (8 pages)
Published Online: May 20, 2011
Article history
Received:
November 10, 2010
Revised:
March 30, 2011
Online:
May 20, 2011
Published:
May 20, 2011
Citation
Zhao, J., Tian, Q., and Hu, H. (May 20, 2011). "Modal Analysis of a Rotating Thin Plate via Absolute Nodal Coordinate Formulation." ASME. J. Comput. Nonlinear Dynam. October 2011; 6(4): 041013. https://doi.org/10.1115/1.4003975
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