Affiliations: Department of Civil Engineering, Fuzhou University,
Fuzhou, China | Department of Civil Engineering, Lanzhou Jiaotong
University, Lanzhou, China | School of Natural and Built Environments, University
of South Australia, Adelaide, Australia | Department of civil and Environmental Engineering,
University of Auckland Auckland, New Zealand
Abstract: A novel method to generate time series of vibration waves is
proposed in the paper. Considering the frequency band energy as the criterion,
synthesis formulas for fluctuating wind pressure and earthquake ground motion
are developed in terms of Daubechies wavelet and Harr wavelet respectively. The
wavelet reconstruction method is applicable to both stationary and
non-stationary process simulation. Theoretically, for non-stationary (such as
seismic) process synthesis, it has a better non-stationarity in time-frequency
domain than the traditional trigonometric series. Influence of wavelet
delamination number and wavelet function type is also analyzed. Numerical
results show that the synthesis of vibration waves based on wavelet
reconstruction method contains main components of vibration, and can reflect
the main properties of practical vibrations.
