Deterministic and stochastic optimization of composite cylindrical laminates |
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| Institution: | 1. Dept. of Mechanical and Industrial Engineering, Ryerson University, 350 Victoria Street, Toronto, ON M5B2K3, Canada;2. Dept. of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, ON M5B2K3, Canada;3. Dept. of Mechanical and Materials Engineering, Western University, 1151 Richmond Street North, London, ON N6A5B9, Canada;4. Dept. of Surgery, Western University, 268 Grosvenor Street, London, ON N6A4V2, Canada;5. Orthopaedic Biomechanics Lab, Victoria Hospital, 800 Commissioners Road, London, ON N6A5W9, Canada;1. Department Physics and Mechanics of Materials, Institute Pprime (UPR 3346), CNRS, ENSMA, Université de Poitiers, BP40109, F-86961 Futuroscope Chasseneuil Cedex, France;2. CEA, DAM, Le Ripault, F-37260 Monts, France;1. Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;1. State Key Laboratory of Rice Biology, Institute of Biotechnology, Zhejiang University, Hangzhou 310058, PR China;2. College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, China;1. Department of Mechanical Engineering, University of Al-Qadisiyah, Al-Qadisiyah, Iraq;2. Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, Pakistan;3. Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt;4. Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia;5. Department of Materials Technologies, Faculty of Materials Engineering, Silesian University of Technology, 44-100 Gliwice, Poland;6. CEMMPRE—Centre for Mechanical Engineering Materials and Processes, Department of Mechanical Engineering, University of Coimbra, Rua Luı’s Reis Santos, 3030-788 Coimbra, Portugal;7. Department of Engineering, University of Sannio, Piazza Roma 21, 82100 Benevento, Italy |
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| Abstract: | The paper is focused on optimization of prestress and placement of fibers in laminated cylindrical composites. It also involves a stochastic study of prestress deviation in particular layers. Optimization (design) parameters considered in control of internal stresses are the eigenstrains. The behavior of a certain functional serving for optimization of the eigenstrains with stochastically perturbed and correlated values in a laminated cylindrical structure is examined. In the first part, a deterministic optimization of composite laminated cylinders is performed by means of the eigenstrains produced in the layers during the fabrication process. Because fabrication of laminates is sensitive to deviation of eigenstrain magnitudes, as shown from stochastic study, an additional minimization of the eigenstrains is introduced. |
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