EVOLUTIONARY MODEL OF VISCOELASTIC DAMPERS FOR STRUCTURAL ApPLICATIONS

Th 7 effe~ts oftempe~atureon the energy dissipation of viscoelastic dampers for seismic mitigation of structures are mvestigated. To Simulate the damper behavior, an evolutionary model is proposed to describe ~e dependence o~ ~e ~echanical propertie~ of th~ damper on the deformation frequency and the temperature mcre~e due to diSSipation. Thermorheologlcally Simple materials are considered and the influence of the de­ formatio~ frequency on the storage and loss moduli is modeled using fractional derivative operators. The effect of m~tenal temperature on the for~e-~eformation relation is modeled using the concept of evolutionary transfer func~0!1' and the proposed model IS Implemented using a step-by-step technique in the frequency domain. The p~edictions. of the proposed. model in the case of sinusoidal and seismic deformations show good agreement with e~penmental results. Fmally, the response spectra of single-degree-of-freedom structures with added vis­ coelastic ~pers and subjected to seismic excitation are computed using the proposed evolutionary model; the results obtained show that the thermal effect due to energy dissipation is not always negligible.

[1]  B. Ross,et al.  A BRIEF HISTORY AND EXPOSITION OF THE FUNDAMENTAL THEORY OF FRACTIONAL CALCULUS , 1975 .

[2]  Robert D. Hanson,et al.  Supplemental Damping for Improved Seismic Performance , 1993 .

[3]  R. Koeller Applications of Fractional Calculus to the Theory of Viscoelasticity , 1984 .

[4]  Conor D. Johnson,et al.  Finite Element Prediction of Damping in Structures with Constrained Viscoelastic Layers , 1981 .

[5]  T. Soong,et al.  MODELING OF VISCOELASTIC DAMPERS FOR STRUCTURAL ApPLICATIONS , 1995 .

[6]  Gary F. Dargush,et al.  DYNAMIC ANALYSIS OF VISCOELASTIC-FLUID DAMPERS , 1995 .

[7]  Michael C. Constantinou,et al.  Fractional‐Derivative Maxwell Model for Viscous Dampers , 1991 .

[8]  C. S. Tsai Innovative design of viscoelastic dampers for seismic mitigation , 1993 .

[9]  T. T. Soong,et al.  Seismic response of steel frame structures with added viscoelastic dampers , 1989 .

[10]  C. S. Tsai,et al.  Applications of Viscoelastic Dampers to High‐Rise Buildings , 1993 .

[11]  W. Smit,et al.  Rheological models containing fractional derivatives , 1970 .

[12]  M. Priestley Evolutionary Spectra and Non‐Stationary Processes , 1965 .

[13]  T. T. Soong,et al.  SEISMIC BEHAVIOR OF STEEL FRAME WITH ADDED VISCOELASTIC DAMPERS , 1996 .

[14]  A. Gemant,et al.  A Method of Analyzing Experimental Results Obtained from Elasto‐Viscous Bodies , 1936 .

[15]  T. T. Soong,et al.  Full-Scale Viscoelastically Damped Steel Frame , 1995 .

[16]  James M. Kelly,et al.  Modal equations of linear structures with viscoelastic dampers , 1995 .

[17]  Leslie Morland,et al.  Stress Analysis for Linear Viscoelastic Materials with Temperature Variation , 1960 .

[18]  R. Bagley,et al.  A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity , 1983 .

[19]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[20]  Lynn Rogers,et al.  Operators and Fractional Derivatives for Viscoelastic Constitutive Equations , 1983 .

[21]  T. T. Soong,et al.  Viscoelastic Dampers as Energy Dissipation Devices for Seismic Applications , 1993 .

[22]  T. T. Soong,et al.  Seismic Design of Viscoelastic Dampers for Structural Applications , 1992 .

[23]  Robert D. Hanson,et al.  Viscoelastic Mechanical Damping Devices Tested at Real Earthquake Displacements , 1993 .

[24]  A. J. Staverman,et al.  Time‐Temperature Dependence of Linear Viscoelastic Behavior , 1952 .

[25]  James M. Kelly,et al.  Application of fractional derivatives to seismic analysis of base‐isolated models , 1990 .

[26]  C. Tsai,et al.  TEMPERATURE EFFECT OF VISCOELASTIC DAMPERS DURING EARTHQUAKES , 1994 .

[27]  Richard Schapery,et al.  Application of Thermodynamics to Thermomechanical, Fracture, and Birefringent Phenomena in Viscoelastic Media , 1964 .

[28]  J. Ferry Viscoelastic properties of polymers , 1961 .