EFFECT OF ELASTIC FOUNDATIONS ON DIVERGENCE AND FLUTTER OF AN ARTICULATED PIPE CONVEYING FLUID |
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| Institution: | 1. Dipartimento di Costruzioni e Tecnologie Avanzate, Universita'' di Messina Contrada Sperone, 98166, Messina, Italy;2. Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, 33431, U.S.A;1. High Speed 3D Printing Research Center, National Taiwan University of Science and Technology, No. 43, Sec. 4, Keelung Rd, Taipei, 106, Taiwan, ROC;2. Department of Mechanical Engineering, National Taiwan University of Science and Technology, No. 43, Sec. 4, Keelung Rd, Taipei, 106, Taiwan, ROC;3. Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A, 43124, Parma, Italy;1. State Key Laboratory of Structural Analysis for Industrial Equipment, School of Automotive Engineering, Dalian University of Technology, Dalian, 116024, China;2. School of Mechanical & Aerospace Engineering, Nanyang Technological University, Singapore, 639798, Singapore;3. Ningbo Institute of Dalian University of Technology, Ningbo, 315016, China;4. China North Vehicle Research Institute, Beijing, 100072, China;5. Center for Infrastructure Protection and Mining Safety, University of Wollongong, NSW 2522, Australia;1. University of Mississippi, Oxford, Department of Social Work, Garland Hall 205, P.O. Box 1848, University, MS 38677, USA;2. University of South Carolina, Department of Sport and Entertainment Management, University of South Carolina, 1705, College St., Columbia, SC 29208, USA;1. Faculdade São Leopoldo Mandic, Instituto de Pesquisas São Leopoldo Mandic, Laboratoy of Neuroimmune Interface of Pain Research, Campinas, SP, Brazil;2. Department of Entomology and Nematology and UC Davis Comprehensive Cancer Center, University of California, Davis, CA, USA |
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| Abstract: | In this study, we generalize earlier investigations of Benjamin and Sugiyama & Pa?̈doussis devoted to the stability of articulated pipes conveying fluid. The present study additionally incorporates the translational and rotational elastic foundations in an attempt to answer the following question: Do the elastic foundations increase the critical velocity of the fluid? It turns out that the attachment of the elastic foundation along the entire length of the pipe may either strengthen or weaken the system, with attendant increase or decrease in the critical velocity. The physical mechanism of the change of type of instability plays a crucial role in deciding whether or not the elastic foundation increases the critical velocity. If the elastic foundations are attached within the first pipe only, the instability mechanism is by flutter. If the elastic foundations are attached beyond the first pipe, then divergence may occur. The interplay of the two mechanisms may lead to a decrease of the critical velocity of the system with elastic foundations. A remarkable nonmonotonous dependence of the critical velocity with respect to the attachment foundation ratio is established. |
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