Speeding up the Stochastic Linearisation for Systems Controlled by Non-linear Passive Devices

[1]  E. Vanmarcke On the Distribution of the First-Passage Time for Normal Stationary Random Processes , 1975 .

[2]  Valeria Artale,et al.  Exact Closed-Form Fractional Spectral Moments for Linear Fractional Oscillators Excited by a White Noise , 2017 .

[3]  Antonina Pirrotta,et al.  Direct evaluation of the equivalent linear damping for TLCD systems in random vibration for pre-design purposes , 2014 .

[4]  M. Di Paola,et al.  Stochastic seismic analysis of MDOF structures with nonlinear viscous dampers , 2009 .

[5]  Bijan Samali,et al.  The effect of tuned mass dampers and liquid dampers on cross-wind response of tall/slender structures , 1992 .

[6]  A. Kiureghian,et al.  Modal decomposition method for stationary response of non‐classically damped systems , 1984 .

[7]  M. Fardis,et al.  Designer's guide to EN 1998-1 and en 1998-5 Eurocode 8: Design of structures for earthquake resistance; general rules, seismic actions, design rules for buildings, foundations and retaining structures/ M.Fardis[et al.] , 2005 .

[8]  Giacomo Navarra,et al.  Optimal design of Nonlinear Energy Sinks for SDOF structures subjected to white noise base excitations , 2017 .

[9]  Umberto Alibrandi,et al.  Stochastic Methods in Nonlinear Structural Dynamics , 2012 .

[10]  D. M. McFarland,et al.  Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Computational results , 2008 .

[11]  Alessandro Palmeri,et al.  Closed-form stochastic response of linear building structures to spectrum-consistent seismic excitations , 2019, Soil Dynamics and Earthquake Engineering.

[12]  T. T. Soong,et al.  STRUCTURAL CONTROL: PAST, PRESENT, AND FUTURE , 1997 .

[13]  S. Utku,et al.  Stochastic linearization of multi‐degree‐of‐freedom non‐linear systems , 1976 .

[14]  Antonina Pirrotta,et al.  Experimental validation of a direct pre-design formula for TLCD , 2014 .

[15]  Giuseppe Muscolino,et al.  On the convergent parts of high order spectral moments of stationary structural responses , 1986 .

[16]  Alexander F. Vakakis,et al.  Irreversible Passive Energy Transfer in Coupled Oscillators with Essential Nonlinearity , 2005, SIAM J. Appl. Math..

[17]  B. F. Spencer,et al.  STATE OF THE ART OF STRUCTURAL CONTROL , 2003 .

[18]  Antonina Pirrotta,et al.  Innovative modeling of Tuned Liquid Column Damper motion , 2015, Commun. Nonlinear Sci. Numer. Simul..

[19]  Alessandro Palmeri,et al.  A NOVEL ANALYTICAL MODEL OF POWER SPECTRAL DENSITY FUNCTION COHERENT WITH EARTHQUAKE RESPONSE SPECTRA , 2015 .

[20]  Oleg Gendelman,et al.  Energy pumping in nonlinear mechanical oscillators : Part I : Dynamics of the underlying Hamiltonian systems , 2001 .

[21]  M. Di Paola,et al.  Stochastic Seismic Analysis of Structures with Nonlinear Viscous Dampers , 2007 .

[22]  Giuseppe Muscolino,et al.  Peak response of non-linear oscillators under stationary white noise , 2007 .

[23]  Antonina Pirrotta,et al.  A Novel Mathematical Model For TLCD: Theoretical And Experimental Investigations , 2014 .

[24]  Alberto Di Matteo,et al.  Optimal tuning of tuned liquid column damper systems in random vibration by means of an approximate formulation , 2015 .

[25]  Erik H. Vanmarcke,et al.  Structural Response to Earthquakes , 1976 .

[26]  E. Vanmarcke Properties of Spectral Moments with Applications to Random Vibration , 1972 .

[27]  Antonina Pirrotta,et al.  Numerical and experimental validation of a simplified formulation for the design of TLCD , 2014 .

[28]  I. Elishakoff Stochastic linearization technique : A new interpretation and a selective review , 2000 .

[29]  Francesco Lo Iacono,et al.  Simplified design of nonlinear energy sinks for MDOF structures excited by white noise base excitations , 2017 .

[30]  Antonina Pirrotta,et al.  THE TLCD PASSIVE CONTROL: NUMERICAL INVESTIGATIONS VS EXPERIMENTAL RESULTS , 2012 .

[31]  Giuseppe Muscolino,et al.  Analytic evaluation of spectral moments , 1988 .

[32]  A. Kiureghian Structural Response to Stationary Excitation , 1980 .

[33]  Giuseppe Muscolino,et al.  Maximum response statistics of MDoF linear structures excited by non-stationary random processes , 2005 .

[34]  P. Spanos,et al.  Random vibration and statistical linearization , 1990 .

[35]  Kenneth S. Miller,et al.  On estimating spectral moments in the presence of colored noise , 1970, IEEE Trans. Inf. Theory.