A fractional derivative Zener model for the numerical simulation of base isolated structures

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• 作者：Athanasios A. Markou ; George D. Manolis
• 关键词：Base isolation ; High damping rubber bearings ; Friction sliding bearings ; Dynamic response ; Fractional derivatives ; Zener model
• 刊名：Bulletin of Earthquake Engineering
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：14
• 期：1
• 页码：283-295
• 全文大小：1,102 KB
• 参考文献：Atanackovic TM, Spasic DT (2004) On viscoelastic compliant constant-impact models. J Appl Mech ASME 71:134鈥?38CrossRef
  Athanasiou A, Oliveto G (2011) Modeling hybrid base isolation systems for free vibration simulations. In: Proceedings of the 8th international conference on Urban Earthquake Engineering , Tokyo
  Athanasiou A, De Felice M, Oliveto G, Oliveto PS (2013) Dynamical modeling and parameter identification of seismic isolation systems by evolution strategies. Comput Intell 465:101鈥?18CrossRef
  Braga F, Faggella M, Gigliotti R, Laterza M (2005) Nonlinear dynamic response of HDRB and hybrid HDRB-friction sliders base isolation systems. Bull Earthq Eng 3:333鈥?53CrossRef
  Christopoulos C, Filiatrault A (2006) Principles of passive supplemental damping and seismic isolation. IUSS Press, Pavia
  Durbin F (1974) Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate鈥檚 method. Comput J 17(4):371鈥?76CrossRef
  Fl眉gge W (1975) Viscoelasticity. Springer, Berlin, HeidelbergCrossRef
  Hansen N (2011) The CMA evolution strategy: a tutorial. https://鈥媤ww.鈥媗ri.鈥媐r/鈥媬hansen/鈥媍matutorial
  Hudson RC, Finfgeld CR (1971) Laplace transform solution for the oscillator damped by dry friction. Amer J Phys 39:568鈥?70CrossRef
  Hwang JS, Ku SW (1997) Analytical modeling of high damping rubber bearings. J Struct Eng ASCE 123:1029鈥?036CrossRef
  Hwang JS, Wang JC (1998) Seismic response of HDR bearings using fractional derivative Maxwell model. Eng Struct 20:849鈥?56CrossRef
  Jumarie G (2008) Fourier鈥檚 transform of fractional order via Mittag-Leffler function and modified Riemann-Liouville derivative. J Appl Math Inform 26:1011鈥?021
  Koh CG, Kelly JM (1990) Application of fractional derivatives to seismic analysis of base-isolated models. Earthq Eng Struct Dyn 19:229鈥?41CrossRef
  Markou AA, Athanasiou A, Oliveto G (2012) Recent advances in dynamic identification and response simulation of hybrid base isolation systems. In: Proceedings of the 15th world conference on earthquake engineering, paper no. 3023, Lisbon
  Narayanan GV, Beskos DE (1982) Numerical operational methods for time-dependent linear problems. Int J Numer Meth Eng 18:1829鈥?854CrossRef
  Oliveto G, Granata M, Buda G, Sciacca P (2004) Preliminary results from full-scale free vibration test on a four story reinforced concrete building after seismic rehabilitation by base isolation. In: Proceedings of the JSSI 10th anniversary symposium on performance of response controlled buildings, Yokohama
  Oliveto ND, Scalia D, Oliveto G (2008) Dynamic identification of structural systems with viscous and friction damping. J Sound Vib 318:911鈥?26CrossRef
  Oliveto ND, Scalia D, Oliveto G (2010) Time domain identification of hybrid base isolation systems using free vibration tests. Earthq Eng Struct Dyn 39:1015鈥?038
  Oliveto G, Athanasiou A, Oliveto ND (2012) Analytical earthquake response of 1D hybrid base isolation systems. Soil Dyn Earthq Eng 43:1鈥?5CrossRef
  Oliveto G, Oliveto ND, Athanasiou A (2014) Constrained optimization for 1-D dynamic and earthquake response analysis of hybrid base-isolation systems. Soil Dyn Earthq Eng 67:44鈥?3CrossRef
  Weilbeer M (2005) Efficient numerical methods for fractional differential equations and their analytical background. Doctoral dissertation, Technische Universit盲t Braunschweig, Germany
  
• 作者单位：Athanasios A. Markou (1) (2)
  George D. Manolis (1)
  
  1. Department of Civil Engineering, Aristotle University of Thessaloniki (AUTH), 54124, Thessaloniki, Greece
  2. Department of Civil Engineering and Architecture, University of Catania (UNICT), 95100, Catania, Italy
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Civil Engineering
  Geophysics and Geodesy
  Hydrogeology
  Structural Geology
  
• 出版者：Springer Netherlands
• ISSN：1573-1456

文摘

A fractional derivative Zener (FDZ) model connected in parallel with a linear viscous damper and a Coulomb friction slider is used to numerically simulate the mechanical behavior of a base isolated (BI) building tested under free vibration conditions in Solarino, Sicily. This hybrid BI system comprises high damping rubber bearings in combination with low friction sliding bearings. A comparison study of the present model with previous ones appearing in the literature, namely the bi-linear and the tri-linear models defined in the time domain, is carried out here. Furthermore, the linear viscoelastic solid, namely the classical Zener model, is also implemented and evaluated. The rheological models representing all the above BI systems are analyzed and, for the first time, the rheological formulation for the tri-linear model is presented. The present comparison study shows that the FDZ model is capable of describing the complex nonlinear response of BI systems. Keywords Base isolation High damping rubber bearings Friction sliding bearings Dynamic response Fractional derivatives Zener model