Accurate equations for laminated composite deep thick shells |
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| Institution: | 1. DANA Corporation, Auburn Hills, Michigan 48321, USA;1. Poznan University of Technology, Poznań, Poland;2. NEOKON, Construction Design Office, Poznan, Poland;1. Haptic Intelligence Department, Max Planck Institute for Intelligent Systems, Stuttgart 70569, Germany;2. Mechatronics Engineering Program, Faculty of Engineering and Natural Sciences, Sabanci University, Istanbul 34956, Turkey;3. Department of Mechanical Engineering, College of Engineering, Koc University, Istanbul 34450, Turkey;1. Advanced Composite Centre for Innovation and Science, Department of Aerospace Engineering, Queen’s Building, University Walk, United Kingdom;2. Lightweight Structures, Advanced Composite Centre for Innovation and Science, Department of Aerospace Engineering, Queen’s Building, University Walk, United Kingdom;1. Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, UK;2. School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China;3. AVIC Manufacturing Technology Institute, Beijing 100024, China |
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| Abstract: | This paper derives accurate equations of elastic deformation for laminated composite deep, thick shells. The equations include shells with a pre-twist and accurate force and moment resultants which are considerably different than those used for plates. This is due to the fact that the stresses over the thickness of the shell have to be integrated on a trapezoidal-like cross-section of a shell element to obtain the stress resultants. Numerical results are obtained and showed that accurate stress resultants are needed for laminated composite deep thick shells, especially if the curvature is not spherical. A consistent set of equations of motion, energy functionals and boundary conditions are also derived. These may be used in obtaining exact solutions or approximate ones like the Ritz or finite element methods. |
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