Nonlinear instability of angle section beams subjected to static and dynamic sudden step loads |
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| Affiliation: | 1. Medicine/Division of Hematology-Oncology, Indiana University School of Medicine, Indianapolis, IN, United States;2. Orthopaedic Surgery, Indiana University School of Medicine, Indianapolis, IN, United States;3. Anatomy and Cell Biology, Indiana University School of Medicine, Indianapolis, IN, United States;4. Biomedical Engineering, Indiana University Purdue University Indianapolis, Indianapolis, IN, United States;5. Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, United States;6. Pediatrics/Herman B Wells Center for Pediatric Research, Indiana University School of Medicine, Indianapolis, IN, United States;7. Microbiology and Immunology, Indiana University School of Medicine, Indianapolis, IN, United States;1. Institute of process equipment, Zhejiang University, Hangzhou, China;2. Zhejiang Institute of Mechanical & Electrical Engineering Co. Ltd, Hangzhou, Zhejiang, China |
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| Abstract: | This paper presents a study on the flattening behaviour of angle section beams subjected to pure bending. Analytical solutions for both static and dynamic instabilities of angle section beams subjected to pure bending about its weak axis are derived using energy methods. The results show that the dynamic instability of angle section beams under the action of a sudden step moment occurs at a moment about 71% of the corresponding critical static moment, but the deformations of the longitudinal curvature and flattening at the critical dynamic state are almost twice of those corresponding to the static instability case. |
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