Nonlinear axisymmetric vibration of orthotropic thin circular plates with elastically restrained edges |
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| Affiliation: | 1. Cognitive Neuroscience Section, IRCCS Centro San Giovanni di Dio Fatebenefratelli, Brescia, Italy;2. Centre for Cognitive Neuroimaging, Institute of Neuroscience and Psychology, University of Glasgow, Glasgow, UK;3. Neuroscience Section, Department of Clinical and Experimental Sciences, University of Brescia, Brescia, Italy;1. Department of Computer and Communication Engineering, Chungbuk National University, Republic of Korea;2. Department of Integrated IT Engineering, Seoul National University of Science and Technology, Seoul 01811, Republic of Korea;3. Department of Electronics & Communications Engineering, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandria, Egypt;4. Department of Telecommunication Engineering, University of Science and Technology, Taxila, Pakistan;5. Department of Electrical Engineering, Laboratory EEA & TI, Hassan II University, Faculty of Science and Techniques (FSTM) Mohammedia, Casablanca, Morocco;6. Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;7. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;1. Clinical Pharmacology Institute, Nanchang University, Nanchang 330031, PR China;2. The Second Affiliated Hospital of Nanchang University, Nanchang 330006, PR China;1. Brigham Young University, Provo, UT, USA;2. University of Puget Sound, Tacoma, WA, USA;3. University of Nebraska at Omaha, Omaha, NE, USA;4. University of Dayton, Dayton, OH, USA;1. Department of Mechanical Engineering, Engineering and Architecture School, University of Zaragoza – I3A, C/ María de Luna s/n, 50018 Zaragoza, Spain;2. Department of Mechanical Engineering, Engineering and Architecture School, University of Zaragoza, ICMA, CSIC-University of Zaragoza, C/ María de Luna 3, 50018 Zaragoza, Spain;3. Department of Design and Manufacture Engineering, Engineering and Architecture School, University of Zaragoza, C/ María de Luna s/n, 50018 Zaragoza, Spain |
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| Abstract: | This paper deals with the large-amplitude axisymmetric free vibrations of cylindrically orthotropic thin circular plates of varying thicknesses with edge elastically restrained against rotation and in-plane displacement. Geometric nonlinearity due to moderately large deflections is included. Linear, parabolic and cubic variations of thickness are considered. Harmonic vibrations are assumed and time is eliminated from the von Kármán-type governing equations by the Kantorovich averaging method. The orthogonal point collocation method is used for spatial discretisation. Results are presented for the linear frequency of first axisymmetric mode and for the amplitude-period response. The effect of taper ratio, orthotropic parameter and rotational and in-plane stiffness of the support on the nonlinear vibration behaviour is investigated. |
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