Simplified Modeling for Seismic Response Analysis of Buildings with Viscous Dampers

Abstract

本研究提出了一種針對含黏滯阻尼器之建築受震反應分析的創新方法，藉由將黏滯阻尼器的特性納入廣義建築模型（GBM）中，擴展了簡化建模的適用性。本研究引入了一種靈活且高效的方法，其特點在於使用單一參數α來定義建築總體變形型式，並且不受建築特性的限制。此外，採用單位脈衝法來決定線性和非線性黏滯阻尼器在廣義建築模型中的最佳參數，並且證明此一方法的有效性與阻尼器配置的模式無關。本研究證明所提出的方法對於線性黏滯阻尼器可以獲得滿意的結果，但同時也證實對於非線性黏滯阻尼器，本方法的正確性有所降低。 藉由施加20筆地震記錄，比較有限元素模型（FEM）與廣義建築模型(GBM)的受震反應分析結果，顯示二者之差異普遍較小且在可接受範圍內。對於任意或均勻配置黏滯阻尼器的情況下，建築的最大位移、最大加速度、最大層間位移和最大基底剪力的誤差百分比進行了系統的分析。結果顯示該方法在處理線性黏滯阻尼器時的可靠性，平均誤差小於4％。然而，在處理非線性黏滯阻尼器時的誤差較大，平均約為6％，突顯了以簡化模型模擬非線性阻尼效應的挑戰。 總結來說，本研究提出了一種在運算效率與適用性顯著進步的建築受震反應評估方法。它為結構工程師提供了一種有效的工具，在正確性與計算效率之間進行取捨，以優化含黏滯阻尼器之建築的耐震分析與設計。本研究對於提升建築受震反應分析方法作出了貢獻，並且對於簡化模型在實際工程上可能的運用做出詮釋。

This research presents an innovative approach to seismic response analysis of buildings with viscous dampers, extending the applicability of simplified modelling by incorporating viscous damper properties into the Generalized Building Model (GBM). The study introduces a flexible and efficient method, characterized by a single parameter, α, which defines overall deformation type and eliminates restrictions on building characteristics. The unit impulse method is employed to determine optimal linear and nonlinear viscous damper parameters, demonstrating effectiveness regardless of damper placement patterns. The study, while achieving satisfactory results for linear viscous dampers, acknowledges a decrease in accuracy for nonlinear viscous dampers. The comparison of responses between Finite Element Model (FEM) and GBM across 20 ground motions reveals generally small discrepancies within acceptable ranges. Error percentages for peak displacement, peak acceleration, peak inter-story drift, and peak base shear force are systematically analyzed for both arbitrary and uniform damper placements. The results underscore the method's reliability for linear viscous dampers, with average error percentages less than 4%. However, nonlinear viscous dampers introduce larger errors, averaging around 6%, emphasizing the challenges in simulating nonlinear damping effects. In conclusion, this study represents a significant advancement in time-effective and versatile seismic evaluation methods. It provides a valuable tool for structural engineers to optimize building seismic designs for incorporating viscous dampers, considering the trade-off between accuracy and computational efficiency. The findings contribute to ongoing efforts in enhancing seismic analysis methodologies for buildings with viscous dampers and offer insights into the potential of simplified models in practical engineering applications.