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| Chaotic characteristic analysis of seismic dynamic reponses of SDOF systems |
| Received:January 15, 2009 |
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| DOI：10.7511/jslx20105015 |
| KeyWord:SDOF systems seismic dynamic responses chaotic time series analysis correlation dimension maximal Lyapunov exponent |
| Author | Institution |
| 杨丕鑫 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室,大连 |
| 杨迪雄 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室,大连 |
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| Abstract: |
| Nonlinear dynamics theory and chaotic time series analysis are suggested to examine the chaotic characteristic of dynamic responses of single degree of freedom (SDOF) system subjected to earthquake ground motions in this paper. The typical near-fault ground motion records are selected as the seismic input. Then, the chaotic time series analysis is applied to calculate quantitatively the nonlinear characteristic parameters of acceleration responses of elastic and inelastic SDOF systems with representative periods. Numerical results show that the correlation dimension of these acceleration responses is fractal dimension, and their maximal Lyapunov exponent is larger than 0. Moreover, it is illustrated that the seismic dynamic responses of SDOF system under earthquake excitation present the chaotic character rather than the pure random signal, which provides us new approach and new perspective for understanding the irregularity and complexity of the seismic dynamic responses of structures. |