Optimum Design Formulas for Isolation Systems with Viscous Dampers and Friction Dampers
Date Issued
2011
Date
2011
Author(s)
Kao, Pei-Shiou
Abstract
The present study aims at developing optimum theory and design formula to find the optimum design parameter of two types of isolation systems : linear viscous energy dissipated isolation system and friction energy dissipated isolation system. For part of linear viscous energy dissipated system, minimize the mean square of absolute structural acceleration of single degree-of-freedom main system subjected to white-noise excitation, then the optimum design formula of linear viscous energy dissipated isolation system can be obtained. For part of friction energy dissipated system, the objective function is defined as the sum of squared structural absolute acceleration. Therefore, the optimal friction coefficient which minimizes the objective function can be obtained through numerical simulation under the five specific random ground excitations. Repeating the optimal process with various structural parameters, the proposed simple design formula is developed by regression of those optimal friction coefficients from numerical simulations. Finally, after the design formula is obtained, the feasibility is verified through implementing the proposed deign formula into a single-degree-of-freedom building with viscous and frictional isolation system under random, El Centro and 331 (TAP097) earthquakes. Comparing the performances of isolation system designed by two cases, the proposed design formula and directly optimized by each earthquakes, the performances between these two cases are very close. Consequently, the proposed design formula is simple and generally applicable.
Subjects
optimum
design formula
isolation system
viscous
friction
Type
thesis
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