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544<br />

Time (sec)<br />

Time (sec)<br />

Time (sec)<br />

Fie.3.5 Input ground acceleration Fig.3.6. Estimated ground motion Fig.3.7 Estimated ground motion<br />

motion for 5% noise level in NC1 for 3% noise level in NC2<br />

CONCLUSIONS<br />

<strong>The</strong> dynamic compound inverse method has been introduced in this paper for simultaneously<br />

identifying the structural parameters and the ground motion using the measured structural .responses<br />

only. Numerical examples using a three-story shear building showed that the method could accurately<br />

identify the structural parameters and the ground motion simultaneously when the dynamic responses<br />

were noise free. For the dynamic responses at the same building floor polluted by the same noise<br />

process, the compound inverse method could still accurately identity the building stiffness coefficients<br />

but the damping coefficients and the peak acceleration of the ground motion were estimated with some<br />

acceptable errors. If the dynamic responses at the same building floor polluted by different noise<br />

processes, the maximum identification errors increase moderately for damping coefficients and input<br />

peak acceleration but considerably for stiffness coefficients when compared with the case with the<br />

same noise process concerned. <strong>The</strong> extension and the further application of the method are under way.<br />

ACKNOWLEDGEMENTS<br />

<strong>The</strong> writers are grateful for the financial support from Tongji <strong>University</strong> through a PhD studentship to<br />

the first writer and <strong>The</strong> Hong Kong Polytechnic <strong>University</strong> through Young Professor Scheme to the<br />

third writer.<br />

REFERENCES<br />

Cho H. N. and Paik S. W (2000), Time domain system identification technique with unknown input<br />

and limited observation, Proceedings of 8 th ASCE specially conference on Probabilistic Mechanics<br />

and Structural Reliability, PMC2000-190<br />

dough R.W. and Penzien J. (1993), " Dynamics of Structures", 2nd Edition, McGraw-Hill, Inc.<br />

Hoshiya M. and Sutoh A. (1995), Identification of input and parameters of a MDOF system,<br />

Proceedings ofEASEC-5, Gold Coast, Australia, 1309-1314<br />

Hsia T. C. (1977), System identification: least-squares methods, Lexington, Mass<br />

Toki K., Sato T. and Kiyono J. (1989), Identification of structural parameters and input ground motion<br />

from response time histories, Structural Eng./<strong>Earthquake</strong> Eng, 6:2, 413-421<br />

Wang D. and Haldar A. (1994), Element-level system identification with unknown input, J. of<br />

<strong>Engineering</strong> Mechanics, ASCE, 120:1, 159-175<br />

Wang D. and Haldar A. (1997), System idetification with limited observation and without input, J of<br />

<strong>Engineering</strong> Mechanics, ASCE, 123:5, 504-511<br />

Yang J. N. and Agrawal A. K. (2000), Protective system for high-technology facilities against<br />

microvibration and earthquake, J. of Structural <strong>Engineering</strong> and Mechanics, 10:6, 561-575

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