Nonlinear vibration and stability of a rotary truncated conical shell with intercoupling of high and low order modals |
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| Authors: | C Chen L Dai |
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| Institution: | 1. Engineering Mechanics, Hunan University, Changsha, Hunan 410082, PR China;2. Mathematics and Physics, North China Electric Power University, Beijing 102206, PR China;3. Industrial Systems Engineering, University of Regina, Regina, Saskatchewan, Canada S4S 0A2;1. Department of Mechanical Engineering, Faculty of Engineering, University of Qom, Qom, Iran;2. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran |
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| Abstract: | Truncated conical shell is an important structure that has been widely applied in many engineering fields. The present paper studies the internal dynamic properties of a truncated rotary conical shell and considers the intercoupling of the high and low order modals by utilizing the Harmonic Balance Method. To disclose the detailed intercoupling characteristics of the high order and low order modals of the system, a truncated shallow shell is studied and the internal response properties of the system are investigated by using the Multiple Scale Method. The nonlinear dynamic stabilities of the system are also analyzed using the Incrementation Harmonic Balance Method. Abundant dynamic characteristics are found in the research. The research results show that the high order modals of rotating conical shells have a significant effect on the curves of vibration amplitude and frequency of the shells. |
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