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| Free vibration of rotating composite thin-walled beam with large deformation |
| Ren Yongsheng Da Qiyi Sun binglei Zhang Chunjin |
| College of Mechanical and Electronic Engineering, Shandong University of Science &Technology, Qindao, China, 266590 |
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Abstract Rotating composite thin-walled beam is a class of typical structure which is using in study of vibration control of advanced helicopter blades and wind turbine blades. The dynamic behavior investigation of these structures has significance in theory and practice. However, so far dynamic study on the above-mentioned structures is limited only the rotating composite beams with small elastic deformations. The free vibration of the rotating composite thin-walled beams undergoing large deformations is studied in the paper. The nonlinear governing equations of motion for the rotating composite thin-walled beam are derived using Hamilton’s energy principle and variational-asymptotical method (VAM) on the basis of von Karman’s assumption. The nonlinear vibration of the beam is studied using Galerkin method and harmonic balance method. The large amplitude free vibration of the beam can be expressed as a nonlinear eigenvalue problem and solved using an iterative solution procedure. Numerical results are obtained for Circumferentially Uniform Stiffness (CUS )laminated composite configuration thin-walled beam. The study exhibit the effect of the fiber orientation and rotating speed on nonlinear natural frequency vs. amplitude curves. The developed model can be capable of describing nonlinear free vibration behaviors of rotating composite thin-walled beam with large deformations. The present work extends the previous analysis done for linear vibration model of non-rotating composite thin-walled beam.
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Received: 07 December 2012
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2013, Vol. 32 
