Double rolling isolation systems: A mathematical model and experimental validation |
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| Institution: | 1. Institute for Astronomy, University of Hawaii at Manoa, Honolulu, HI 96822, USA;2. Astrophysics Research Centre, School of Mathematics and Physics, Queen’s University Belfast, Belfast BT7 1NN, UK;3. Institute for Astronomy and Astrophysics, Academia Sinica, Taipei 10617, Taiwan;4. Department of Physics, P.O. Box 64, 00014 University of Helsinki, Finland;5. Finnish Geodetic Institute, P.O. Box 15, 02430 Masala, Finland;6. ESA NEO Coordination Centre, Frascati (RM), Italy;7. Minor Planet Center, Cambridge, MA, USA;8. Department of Physics, Durham University, South Road, Durham DH1 3LE, UK;1. School of Construction Machinery, Chang’an University, Xi’an 710064, China;2. Key Laboratory for Highway Construction Technology and Equipment of Ministry of Education, Chang’an University, Xi’an 710064, China;1. Assistant Professor Faculty of Engineering, Information and Systems University of Tsukuba, Tsukuba, Ibaraki 305–8573, Japan;2. Associate Professor Department of Architecture and Architectural Engineering Kyoto University, Nishikyo, Kyoto 615–8540, Japan;3. Professor International Research Institute of Disaster Science Tohoku University, Sendai, Miyagi 980–0845, Japan |
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| Abstract: | Rolling isolation systems (RISs) protect fragile building contents from earthquake hazards by decoupling horizontal floor motions from the horizontal responses of the isolated object. The RISs in use today have displacement capacities of about 20 cm. This displacement capacity can be increased by stacking two systems. This paper presents and evaluates a complete non-linear model of the coupled dynamics of double RISs. The model is derived through the fundamental form of Lagrange?s equation and involves the non-holonomic constraints of spheres rolling between non-parallel surfaces. The derivation requires the use of two translating and rotating reference frames. The proposed model is validated through comparisons between experimentally measured and numerically predicted time histories and peak response quantities—total acceleration and relative displacement. The effects of the initial conditions, the mass of the isolated object, and the amplitude and period of the disturbance on the system?s performance are assessed. |
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| Keywords: | Equipment isolation Seismic isolation Non-holonomic Rolling |
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