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Postbuckling analysis of imperfect non-linear viscoelastic cylindrical panels
Institution:1. Department of Mechanical Engineering, The University of British Columbia, Vancouver, BC, Canada;2. Department of Scientific Computations and Ballistics, Central Laboratory Division, Israel Military Industries, Ramat Hasharon, Israel;1. Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom;2. Rolls-Royce plc, PO Box 31, Derby, DE24 8BJ, United Kingdom;1. Research Centre \"E. Piaggio\", University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy;2. Department of Information Engineering, University of Pisa, Via Girolamo Caruso 16, 56122 Pisa, Italy;3. Optics11 B.V., De Boelelaan 1081, 1081 HV Amsterdam, the Netherlands;4. Biophotonics & Medical Imaging and LaserLaB, VU University Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, the Netherlands;1. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA, United States;2. Department of Biomedical Engineering, Carnegie Mellon University, Pittsburgh, PA, United States;1. Mechanical Design and Production Dept., Faculty of Engineering, Zagazig University, Egypt;2. Department of Mechanical Engineering, American University of Sharjah, Sharjah, United Arab Emirates
Abstract:The postbuckling behavior of imperfect cylindrical panels made of a non-linear viscoelastic material is investigated. The material is modeled according to the Schapery representation of non-linear viscoelasticity. Solutions are developed to calculate the growth of the initial imperfection in time by using the Donnell equilibrium equations for geometrically non-linear cylindrical panels. The equations are derived symbolically using Mathematica in the form of a system of first-order non-linear differential equations. A numerical example is presented and discussed.
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