As a new nonlinear science, fractal theory is investigated and applied widely in many complex fields, such as seismology. Today there have been many research results to prove that seismic waves have fractal characteristics, while the influence and significance of the fractal is neglected calculating earthquake action of practical engineering design. Seismic wave is fractal time series data, and the fractal dimensionality of it is a magnitude which can characterize the degree of the data enriching the time amplitude plane. In this paper, it was pointed out that the fractal dimensionality value also should be as one of the parameters of the seismic waves from researching on the design response spectrum curve. Using an improved ‘box counting method’, this study was carried out to calculate fractal dimensionalities of a set of famous ground motion records in different site conditions and basic intensities. And some characteristics of fractal dimensionalities were introduced though contrasting and analyzing. Furthermore, four influencing factors were illustrated, which can impact the magnitudes of fractal dimensionalities of seismic waves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ahmet Yakut and Hazim Yilmaz (2008). Correlation of deformation demands with ground motion intensity. Journal of Structural Engineering, Vol. 134(12):1818–1828.
Benoit B. and Mandelbrot (1977). Fractal: Form, chance, and dimension. San Francisco: W.H. Freeman.
Benoit B. and Mandelbrot(1982). The fractal geometry of nature. San Francisco: W. H. Freeman.
Donald L. and Turcotte (1997). Fractals and chaos in geology and geophysics. Cambridge, U.K.: Cambridge University Press.
GB 50011-2001: Code for seismic design of buildings.
Jens Feder (1988). Fractals. New York: Plenum Press.
Paul Meakin (1998). Fractals, scaling and growth far from equilibrium. Cambridge, U.K.: Cambridge University Press.
Roberto Villaverde (2007). Methods to assess the seismic collapse capacity of building structures: State of the art. Journal of Structural Engineering, Vol. 133(1):57–66 [in Chinese].
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yu, L., Zou, Z. (2009). The Fractal Dimensionality of Seismic Wave. In: Yuan, Y., Cui, J., Mang, H.A. (eds) Computational Structural Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2822-8_33
Download citation
DOI: https://doi.org/10.1007/978-90-481-2822-8_33
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2821-1
Online ISBN: 978-90-481-2822-8
eBook Packages: EngineeringEngineering (R0)