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the assumption of the bi-linear force-displacement relationship. Such consistency is unreachabie only by<br />

using the BST surface based on the idealized elasto-plastic assumption.<br />

272<br />

CONCLUDING REMARKS<br />

In summary, the shake table tests provided useful data references for theoretical studies on seismic<br />

torsional effects of asymmetric building structures. Through the comparison between the experimental<br />

and the theoretical results, the following conclusions can be obtained:<br />

1) Although the BST (base shear-torque) surface established on the assumption of idealized<br />

force-displacement relationship can be roughly used to estimate the seismic performance of<br />

asymmetric systems, it will bring obvious error on the prediction of the nonlinear response when the<br />

studied structure suffered strong earthquakes.<br />

2) <strong>The</strong>refore, based on the assumption of the bi-linear force-displacement relationship and the<br />

displacement-based method to determine the stiffness, the state space signifying the base<br />

shear-torque relationship is developed to describe the entire seismic capacity of the asymmetric<br />

systems. It shows high consistency with the experimental results. <strong>The</strong>refore, it is no doubt a reliable<br />

model that can be directly used to estimate not only the entire seismic capacity but also the potential<br />

seismic damage may occur in the studied systems, even without relying on any complicated<br />

numerical analysis. It can be seen, this model will be very convenient and useful in evaluation of the<br />

lateral-torsional coupling effects of asymmetric structures particularly in the preliminary stage of<br />

design, retrofitting and research.<br />

It should be noted that abovementioned conclusions are obtained on the basis of the experimental results<br />

of single story building structure. <strong>The</strong>ir reliability and universality should be checked further with real<br />

seismic records or earthquake simulation tests for multi-story and high-rise building.<br />

References<br />

1. Dai Junwu, Yuklung Wong and Minzheng Zhang, Torsion Response of Reinforced Concrete Building under Shaking<br />

Table Test. Advances In Structural Dynamics, 2000, Vol. II, pp859-865.<br />

2. Dai Junwu, <strong>Research</strong> on nonlinear seismic performance of asymmetric RC building structure^ Ph.D. thesis, Institute<br />

of <strong>Engineering</strong> Mechanics, China Seisraological Bureau, 2002,<br />

3. De la Llera, J.C., Chopra, A. K., Understanding the Inelastic Seismic Behaviour of Asymmetric Plan Buildings, J.<br />

<strong>Earthquake</strong> <strong>Engineering</strong> & Structural Dynamics, 1995, v.24, pp.549-572.<br />

4. De la Llera, J.C., Chopra, A. K., Inelastic Behaviour of Asymmetric Multistory Buildings, L Structural <strong>Engineering</strong>,<br />

1996,v.l22,no.6,pp.597-606.<br />

5. Guo Xun, Yuk-lung Wong and Yuan Yifan, Investigation of Seismic Response of Soil site in HK, HKIE Transactions,<br />

2000, Vol. 7, No. 3.<br />

6. Kan, C.L. and Chopra, A.K., Torsional coupling and earthquake response of simple elastic and inelastic systems, J.<br />

structural Division, ASCE, 1981, v.107, pp.1569-1588.<br />

7. Minzheng Zhang, Problem study on the application of the similitude law in earthquake simulation test, <strong>Earthquake</strong><br />

<strong>Engineering</strong> and <strong>Engineering</strong> Vibration, 1997.6, Vol. 17, No.2.<br />

8. Palazzo, B. and Fraternali, F., Seismic ductility demand in buildings irregular in plan: A new single story nonlinear<br />

model, Proceedings of the 9 th World Conference on <strong>Earthquake</strong> <strong>Engineering</strong>, Tokyo-Kyoto, Japan, 1988, Vol.V,<br />

V-43 to V-48.<br />

9. Paulay, T., Displacement-based design approach to earthquake-induced torsion in ductile buildings, <strong>Engineering</strong><br />

Structures, 1997, VoL19,No,9, pp.699-707.<br />

10. Paulay, T., Torsional mechanisms in ductile building systems, <strong>Earthquake</strong> <strong>Engineering</strong> and Structural Dynamics,<br />

1998, Vol.27, pp.1101-1121.<br />

11. Paulay, T., Understanding torsional phenomena in ductile systems, Bulletin of the NZ Society for <strong>Earthquake</strong><br />

<strong>Engineering</strong>, 2000 S Vol.33, No.4, pp.403-420.

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