Estimating Seismic Energy in Frame Structure with Odd Exponent Wavelet

Abstract

Abstract: 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 (1) the equation of motion, (2) the wavelet coefficients of the acceleration process. By using these principles, a linear SDOF structure which subjected to 1988 Lancang-Genma earthquake ground motions is analyzed and time-histories of strain, kinetic, damping energy and energy input for various ranges of frequencies were identified.