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Research Papers: Seismic Engineering

Reliability of System With Hysteresis Loop Characteristic Subjected to Earthquake Excitations

[+] Author and Article Information
Shigeru Aoki

Department of Monozukuri, Tokyo Metropolitan College of Industrial Technology, 1-10-40 Higashi-Ohi, Shinagawa-ku, Tokyo 140-0011, Japanaoki@tokyo-tmct.ac.jp

J. Pressure Vessel Technol 131(4), 041801 (May 15, 2009) (6 pages) doi:10.1115/1.3122767 History: Received February 21, 2008; Revised November 28, 2008; Published May 15, 2009

Abstract

The estimation of reliability of system subjected to earthquake excitations is an important problem for aseismic design. The reliability of such system should be evaluated in probabilistic manner. The first excursion failure is one of the most important failure modes of structures and also one factor of reliability. Many structures have nonlinear characteristics. Hysteresis loop characteristic caused by plastic deformation is one of the most common nonlinear characteristics observed in pressure vessels and piping systems. In this paper, an estimation method for the first excursion probability of structure with hysteresis loop characteristic is proposed. The first excursion probability is the function of many parameters, which is obtained by using artificial time histories. It is shown that when the tolerance level is normalized by the expected values of the maximum response of the structures, the first excursion probability can be shown to be independent of many parameters.

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Figures

Figure 1

Analytical model of secondary system with hysteresis loop characteristic

Figure 2

Target response spectrum for 5% damping ratio of critical

Figure 3

Envelope function

Figure 5

Bilinear hysteresis loop characteristic

Figure 7

Power spectral density function of artificial time history

Figure 11

(a) Ts/Tp=0.8 and (b) Ts/Tp=1.2. First excursion probability of the secondary system with hysteresis loop characteristic obtained from Eq. 29(γ=0, ζs=0.01, ζp=0.05, Tp=0.3s, β=0)

Figure 10

(a) α=1.0 and (b) β=0. First excursion probability of the secondary system with hysteresis loop characteristic obtained form Eq. 29(γ=0, ζs=0.01, ζp=0.05, Ts=Tp=0.3s).

Figure 9

(a) β=0 and (b) β=0.5. First excursion probability of the secondary system with hysteresis loop characteristic (γ=0, ζs=0.01, ζp=0.05, Ts=Tp).

Figure 8

Variance of absolute acceleration response of secondary system

Figure 6

Example of time history

Figure 4

Outline of procedure

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