scholarly journals Proposal of Hysteresis Characteristics Model in Seismic Response Analysis using Single-Degree-of-Freedom System for Wooden House

2009 ◽  
Vol 9 (1) ◽  
pp. 113-127 ◽  
Author(s):  
Hiroaki IIZUKA ◽  
Yuki SAKAI
Author(s):  
Akira Maekawa ◽  
Katsuhisa Fujita ◽  
Michiaki Suzuki

This study describes the response reduction caused by coupling between the beam-type and the oval-type vibrations of a cylindrical water storage tank under seismic excitation. In this study, the seismic response experiment is performed by using a 1/10 reduced scale model of an actual tank and then numerical simulation is performed by the simplified model. The authors conducted the sinusoidal response experiment for the tank and reported that the coupling between the beam-type and the oval-type vibrations causes the resonance frequency of the beam-type vibration to shift to the lower frequency and the response in the beam-type vibration (the response of the tank) to reduce. The seismic response experiment of the tank model filled with water up to 95% is performed by a shaking table. The El Centro 1940 NS and the improved standard seismic wave for Japanese LWR are used as the input seismic wave. The experimental results show that the maximum response acceleration does not enlarge linearly as the maximum input acceleration increases. The dominant resonance frequency slightly shifts to the lower frequency as the maximum input acceleration increases. It is concluded that the coupling between the beam-type and the oval-type vibrations make an influence on the beam-type vibration in seismic excitation. In the meantime, the authors propose the nonlinear single-degree-of-freedom system model to explain that the vibration response of the tank reduces. This model is based on geometric nonlinearity due to the out-of-plane deformation of the side-wall of the tank caused by the oval-type vibration. The numerical simulation of the seismic response is conducted using the nonlinear single-degree-of-freedom system model proposed by the authors. The analytical results agree with the experimental results as a general trend. Therefore, it is concluded that the response reduction of the tank is generated by coupling between the beam-type and the oval-type vibrations in the seismic excitation as well as the sinusoidal excitation. In addition, the response reduction rate of the tank under much larger seismic excitation can be estimated by using the nonlinear single-degree-of-freedom system model.


Author(s):  
Tsuyoshi Fukasawa ◽  
Shigeki Okamura ◽  
Tomohiko Yamamoto ◽  
Tomoyoshi Watakabe

This paper describes a new type of hysteresis model applied for seismic response analysis, which provides restoring force characteristics containing various types of hysteresis loops generated by calculating differential equations, based on static breaking tests regarding thick rubber bearings. In order to reduce residual risk, there is increasing necessity to accurately predict seismic response against both design-basis ground motion and ground motion exceeding design-basis. This process of seismic response prediction is called seismic Probabilistic Risk Assessment (PRA). In general, a restoring force of rubber bearing under large deformation due to a major earthquake has strong non-linear characteristics containing the hysteresis loops. To improve the accuracy of seismic response predictions up to the ultimate behavior in PRA, a new hysteresis model to be applicable up to the breaking point in horizontal and vertical directions is proposed by the authors. The features of the proposed hysteresis model are as follows: (1) The hysteresis characteristics obtained by the proposed model have smooth curves as substantive hysteresis loops measured in breaking tests. (2) The various types of hysteresis characteristics can be captured efficiently as initial value problems since the proposed model, consisting of differential equations, directly allows the skeleton function, and unaffected by hysteresis law such as Masing law. This paper indicates applicability of the proposed hysteresis model to seismic response analysis through comparison of results of the static breaking test with results of analytical, and also describes the breaking mode obtained by the seismic response analysis.


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