Vibrations and stability of axially traveling laminated beams |
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Authors: | Mergen H Ghayesh Mostafa Yourdkhani Tyler Reid |
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Institution: | a Department of Mechanical Engineering, McGill University, 817 Sherbrooke St. West, Montreal, Quebec, Canada H3A 2K6 b Department of Electrical and Computer Engineering, Concordia University, 1515 St. Catherine West, Montreal, Quebec, Canada H3G 2W1 |
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Abstract: | In this paper, vibrations and stability of an axially traveling laminated composite beam are investigated analytically via the method of multiple scales. Based on classical laminated beam theory, the governing equations of motion for a time-variant axial speed are obtained using Newton’s second law of motion and constitutive relations. The method of multiple scales, an approximate analytical method, is applied directly to the gyroscopic governing equations of motion and complex eigenfunctions and natural frequencies of the system are obtained. The stability boundaries of the system near resonance are determined via the Routh-Hurwitz criterion. Finally, a parametric study is conducted which considers the effects of laminate type and configuration as well as the mean speed and amplitude of speed fluctuations on the vibration response, natural frequencies and stability boundaries of the system. |
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Keywords: | Perturbation techniques Vibration The method of multiple scales Axially traveling beams |
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