Estimating Seismic Energy in Structure with Wavelet Transform
This study proposed a wavelet method for estimating seismic energy in single-degree-of-freedom (SDOF) structure. With the recent development of wavelet-based procedures for structure seismic response, which the displacement and velocity of linear SDOF structure can be expressed with wavelet transform of acceleration process, it is easy to estimate seismic energy in SDOF linear structure, and strain, kinetic, damping energy and energy input based on wavelets introduced in a range of time and frequency assigned to the wavelet coefficient, Expressions have been derived for (i) the equation of motion. (ii)the wavelet coefficients of the response processes. By using these principles, a linear SDOF structure which subjected to 1988 LanCang-GenMa earthquake ground motions is analyzed, time-histories of strain, kinetic, damping energy and energy input for various ranges of frequencies are identified.
M. L. Xiao et al., "Estimating Seismic Energy in Structure with Wavelet Transform", Advanced Materials Research, Vols. 163-167, pp. 3958-3963, 2011