期刊
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
卷 30, 期 9, 页码 811-821出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.soildyn.2010.01.013
关键词
Fractional derivatives; Random excitation; Earthquake response; Integration scheme; Statistical linearization
资金
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0758351] Funding Source: National Science Foundation
In this paper, the random response of a non-linear system comprising frequency dependent restoring force terms is examined. These terms are accurately modeled in seismic isolation and in many other applications using fractional derivatives. In this context, an efficient numerical approach for determining the time domain response of the system to an arbitrary excitation is first proposed. This approach is based on the Grunwald-Letnikov representation of a fractional derivative and on the well-known Newmark numerical integration scheme for structural dynamic problems. Next, it is shown that for the case of a stochastic excitation, in addition to the time domain solutions, a frequency domain solution can be readily determined by the method of statistical linearization. The reliability of this solution is established in a Monte Carlo simulation context using the herein adopted time domain solution scheme. Furthermore, several related parameter studies are reported. (c) 2010 Elsevier Ltd. All rights reserved.
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