Abstract
Reliable estimation of energy demands imposed on a structure by a design ground motion is a key component of energy-based design. Although several studies have been conducted to quantify the energy demands in single-degree-of-freedoms systems, few have focused on multi-degree-of-freedom systems. This study aims to build on the knowledge from previous studies on multi-degree-of-freedom systems with special focus on the distribution of hysteretic energy demands among the components of the structure. Nonlinear response history analyses conducted under ground motion sets representing three different hazard levels show that the total input and hysteretic energy demands of multi-degree-of-freedom systems can be accurately estimated from equivalent single-degree-of-freedom systems for low- and medium-rise buildings. The distribution of hysteretic energy demands over the height of the multistory structures has been shown to vary significantly from ground motion to ground motion. Analyses results also show that the relative strength of adjoining beams and columns has a significant influence on the hysteretic energy demand distribution. On the other hand, the energy distribution is relatively insensitive to the damping model used in the analysis of the multi-degree-of-freedom system.
Highlights
Ordinary structures exposed to strong earthquake ground motions are expected to undergo significant inelastic deformations
The accuracy of equivalent SDOF approaches in estimating the input and hysteretic energy demands in MDOF
As a result of the nonlinear response history analyses conducted on SDOF and MDOF
Summary
Ordinary structures exposed to strong earthquake ground motions are expected to undergo significant inelastic deformations. SDOF systems is the possibility to evaluate the behavior of a vast number of structural configurations (i.e., structures with different fundamental periods and inelasticity levels) under a large ground motion record set These studies provide very valuable information on total energy demands in structures subjected to earthquakes. Ghosh and Collins [16] developed a nonlinear static analysis-based method that uses an inelastic equivalent single-degree-of-freedom model to estimate the hysteretic energy demands in MDOF systems. This study aims to build on the knowledge obtained from earlier studies on single- and multi-degree-of-freedom systems in providing an insight into hysteretic energy demands of MDOF systems and the distribution of these demands among different components This is achieved through nonlinear response history analyses (RHA) of three-, nine-, and twenty-story moment-resisting frames conducted under 40 ground motion records scaled to represent three different hazard levels. The sensitivity of the hysteretic energy distribution in a MDOF system to relative strength of adjoining components and to the damping model used in the analysis has been investigated
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