A method for stochastic seismic response analysis of non-classically damped structures |
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Authors: | Xu?Qing Gao?Cunchen Email author" target="_blank">Wang?JunjieEmail author |
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Institution: | China Ocean University, Qingdao,266003, China;National Key Laboratory for Disaster Reduction of Civil Engineering.Tongji University, Shanghai,200092, China |
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Abstract: | A method to calculate the stationary random response of a non-classically damped structure is proposed that features clearly-defined
physical meaning and simple expression. The method is developed in the frequency domain. The expression of the proposed method
consists of three terms, i.e., modal velocity response, modal displacement response, and coupled (between modal velocity and
modal displacement response). Numerical results from the parametric study and three example structures reveal that the modal
velocity response term and the coupled term are important to structural response estimates only for a dynamic system with
a tuned mass damper. In typical cases, the modal displacement term can provide response estimates with satisfactory accuracy
by itself, so that the modal velocity term and coupled term may be ignored without loss of accuracy. This is used to simplify
the response computation of non-classically damped structures. For the white noise excitation, three modal correlation coefficients
in closed form are derived. To consider the modal velocity response term and the coupled term, a simplified approximation
based on white noise excitation is developed for the case when the modal velocity response is important to the structural
responses. Numerical results show that the approximate expression based on white noise excitation can provide structural responses
with satisfactory accuracy.
Supported by: National Natural Science Foundation of China Under Grant No. 40072088 |
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Keywords: | non-classically damped structures random response modal correlation coefficients |
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