A comparison of three algorithms for tracing nonlinear equilibrium paths of structural systems |
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| Affiliation: | 1. Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24060-0219, USA;2. Departments of Computer Science and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA;1. School of Engineering, Deakin University, Melbourne, Australia;2. School of Engineering, RMIT University, Melbourne, Australia;3. Software Engineer, ITW Construction, Asia Pacific, Melbourne, Australia;4. Australian Research Council Centre of Excellence for Geotechnical Science and Engineering, The University of Newcastle, Australia;1. Natubhai V. Patel College of Pure and Applied Sciences, Charutar Vidya Mandal University, Vallabh Vidyanagar 388120, Anand, Gujarat, India;2. Department of Electronics, Sardar Patel University, Vallabh Vidyanagar 388120, Anand, Gujarat, India;1. Institute of Petroleum Engineering, Heriot-Watt University, Edinburgh, UK;2. Gazpromneft Science & Technology Centre, Saint-Petersburg, Russia;1. School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, People’s Republic of China;2. School of Materials Science and Energy Engineering, Foshan University, Foshan 528000, People’s Republic of China |
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| Abstract: | The relative efficiencies of the Riks/Wempner, Crisfield, and normal flow solution algorithms for tracking nonlinear equilibrium paths of structural systems are compared. It is argued that the normal flow algorithm may be both more computationally efficient and more robust compared to the other two algorithms when tracing the path through severe nonlinearities such as those associated with structural collapse. This is demonstrated qualitatively by comparing the relative behaviors of each algorithm in the vicinity of a severe nonlinearity. Quantitative results are presented for the collapse a blade stiffened panel. |
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