Seismic analysis of structures with a fractional derivative model of viscoelastic dampers |
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Authors: | Tsu-sheng?Chang Email author" target="_blank">Mahendra?P?SinghEmail author |
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Institution: | Department ofEngin eering Science and Mechanics, Virginia Polytechnic Institute and State University, |
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Abstract: | Viscoelastic dampers are now among some of the preferred energy dissipation devices used for passive seismic response control.
To evaluate the performance of structures installed with viscoelastic dampers, different analytical models have been used
to characterize their dynamic force deformation characteristics. The fractional derivative models have received favorable
attention as they can capture the frequency dependence of the material stiffness and damping properties observed in the tests
very well. However, accurate analytical procedures are needed to calculate the response of structures with such damper models.
This paper presents a modal analysis approach, similar to that used for the analysis of linear systems, for solving the equations
of motion with fractional derivative terms for arbitrary forcing functions such as those caused by earthquake induced ground
motions. The uncoupled modal equations still have fractional derivatives, but can be solved by numerical or analytical procedures.
Both numerical and analytical procedures are formulated. These procedures are then used to calculate the dynamic response
of a multi-degree of freedom shear beam structure excited by ground motions. Numerical results demonstrating the response
reducing effect of viscoelastic dampers are also presented. |
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Keywords: | viscoelastic damper fractional derivative seismic response |
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