Dynamic stability and sensitivity to geometric imperfections of strongly compressed circular cylindrical shells under dynamic axial loads |
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| Authors: | Francesco Pellicano |
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| Affiliation: | 1. Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, 32260 Isparta, Turkey;2. Department of Engineering Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey;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, Khalifa University, Abu Dhabi, United Arab Emirates;4. Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, Hong Kong;1. Department of Engineering Enzo Ferrari, University of Modena and Reggio Emilia, Via Pietro Vivarelli, 10, 41125 Modena, Italy;2. Department of Sciences and Methods for Engineering, University of Modena and Reggio Emilia, Via Giovanni Amendola 2, 42122 Reggio Emilia, Italy;1. School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin 150001, China;2. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;1. Department of Mechanics, Northeastern University, Shenyang 110819, China;2. Faculty of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China |
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| Abstract: | In the present paper, the dynamic stability of circular cylindrical shells is investigated; the combined effect of compressive static and periodic axial loads is considered. The Sanders–Koiter theory is applied to model the nonlinear dynamics of the system in the case of finite amplitude of vibration; Lagrange equations are used to reduce the nonlinear partial differential equations to a set of ordinary differential equations. The dynamic stability is investigated using direct numerical simulation and a dichotomic algorithm to find the instability boundaries as the excitation frequency is varied; the effect of geometric imperfections is investigated in detail. The accuracy of the approach is checked by means of comparisons with the literature. |
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