Fractal and chaotic laws on seismic dissipated energy in an energy system of engineering structures |
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| Authors: | Yu-Hong Cui Yong-An Nie Zong-Da Yan and Guo-You Wu |
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| Institution: | (1) Department of Mechanics, Tianjin University, 300072 Tianjin, China;(2) Tianjin Seismological Bureau, 300201 Tianjin, China |
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| Abstract: | Fractal and chaotic laws of engineering structures are discussed in this paper, it means that the intrinsic essences and laws
on dynamic systems which are made from seismic dissipated energy intensity E
d and intensity of seismic dissipated energy moment I
e are analyzed. Based on the intrinsic characters of chaotic and fractal dynamic system of E
d and I
e, three kinds of approximate dynamic models are rebuilt one by one: index autoregressive model, threshold autoregressive model
and local-approximate autoregressive model. The innate laws, essences and systematic error of evolutional behavior I
e are explained over all, the short-term behavior predictability and long-term behavior probability of which are analyzed in
the end. That may be valuable for earthquake-resistant theory and analysis method in practical engineering structures. |
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| Keywords: | fractal chaos autoregressive model seismic dissipated energy intensity short-term behavior predictability long-term probabilistic predictability |
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