Parametric instability of a rotating truncated conical shell subjected to periodic axial loads |
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| Affiliation: | 1. Mechanical Engineering Department, Yasouj University, P.O. Box 75914-353, Yasouj, Iran;2. Mechanical Engineering Faculty, University of Shahrood, Shahrood, Iran;1. Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran;2. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada;3. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran;4. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong;1. Department of Mechanics, Northeastern University, Shenyang 110819, PR China;2. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang 110819, PR China |
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| Abstract: | Parametric instability of a rotating truncated conical shell subjected to periodic axial loads is studied in the paper. Through deriving accurate expressions of inertial force and initial hoop tension, a rotating conical shell model is presented based upon the Love's thin shell theory. Considering the periodic axial loads, equations of motion of the system with periodic stiffness coefficients are obtained utilizing the generalized differential quadrature (GDQ) method. Hill's method is introduced for parametric instability analysis. Primary instability regions for various natural modes are computed. Effects of rotational speed, constant axial load, cone angle and other geometrical parameters on the location and width of various instability regions are examined. |
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| Keywords: | Rotating conical shell Parametric instability Periodic axial loads GDQ method |
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