Research and Application of RC Structures Using Equivalent Linear System
Date Issued
2010
Date
2010
Author(s)
Wu, Tung-Yu
Abstract
In order to readily estimate the maximum displacement of nonlinear multiple-degree-of-freedom structures under earthquake excitation, a method called equivalent linearization is developed and utilized in performance-based seismic design and evaluation. In equivalent linearization, the maximum displacement of the nonlinear structure derived from nonlinear time-history analysis is approximated by the response displacement of an equivalent linear system obtained by elastic spectrum. Many studies have been done for determining the equivalent linear system; however, most of these equivalent linear systems are derived by experimental analysis and consequently lack of explicit physical meaning.
The purpose of this thesis is to propose a theory-based equivalent linear system which is applicable to RC structures. A modified linear stiffness-damping system and equal-average energy principle are used to derive the equivalent linear system, and Takeda hysteretic model is combined with the asymmetry of hysteretic loops to represent the nonlinear hysteretic behavior of RC structures during an earthquake. The proposed equivalent linear system is evaluated by 400 nonlinear single-degree-of- freedom systems with ten earthquake ground motions and compared with existing equivalent linear systems. Results show that the proposed equivalent linear system not only has explicit physical meaning, but has great accuracy of estimation for maximum inelastic displacement. Finally, applications of the proposed equivalent linear system are introduced, and the relative examples are presented.
Subjects
Damping
Hysteretic
Seismic analysis
Displacement
Predictions
Equivalent linearization
Performance-based design
Type
thesis
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