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The vibrations of a thin elastic orthotropic circular cylindrical shell with free and hinged edges |
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| Authors: | GR Gulgazaryan LG Gulgazaryan RD Saakyan |
| Institution: | 1. Politecnico di Milano, Department of Mechanics, via La Masa 34, Milan, Italy;2. Politecnico di Milano, Department of Mechanics, via M. d?Oggiono 18/a, Lecco, Italy;3. Università degli studi di Parma, Department of Industrial Engineering, Parco Area delle Scienze, 181/A, Parma, Italy;1. Department of Civil Engineering of Faculty of Engineering of Suleyman Demirel University, Isparta, Turkey;2. Department of Engineering Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey;1. West Virginia University, Morgantown, WV, USA;2. DIMES, University of Calabria, Ponte P. Bucci Cubo, 87036 Rende, Cosenza, Italy;1. Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, Isparta, Turkey;2. Department of Engineering Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey;1. General Physics Institute, RAS, Moscow, Russian Federation;2. HS Offenburg – University of Applied Sciences, 77723 Gengenbach, Germany |
| Abstract: | The problem of the existence of natural oscillations of a thin elastic orthotropic circular closed cylindrical shell with free and hinge-mounted ends and of an open cylindrical shell with free and hinge-mounted edges, when the two boundary generatrices are hinge-mounted is investigated. Dispersion equations and asymptotic formulae for finding the natural frequencies of possible vibration modes are obtained using the system of equations corresponding to the classical theory of orthotropic cylindrical shells. A mechanism is proposed by means of which the vibrations can be separated into possible types. Approximate values of the dimensionless characteristic of the natural frequency and the attenuation characteristic of the corresponding vibration modes are obtained using the examples of closed and open orthotropic cylindrical shells of different lengths. |
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