Nonlinear Natural Frequencies of Rotating Composite Thin-Walled Beam with Geometrical Nonlinear

Abstract:

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.

• Periodical: Advanced Materials Research (Volume 683)
• Pages: 779-782
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.683.779
• Online since: April 2013
• Authors: Yong Sheng Ren, Shuang Shuang Sun, Chun Jin Zhang
• Keywords: Composite Thin-Walled Beam, Geometrically Nonlinear, Harmonic Balance Method, Nonlinear Vibration, Rotating Beam

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