In this present study, damage in a structure has been modeled as a switching/breathing crack which undergoes successive
opening and closing when subjected to tensile and compressive loading respectively. To analyze this effect the structure
has been conceived as a piecewise linear SDOF dynamical system. The governing equation of motion involving the
bilinear stiffness of the system has been solved by discrete wavelet transformation (DWT) method. Daubechies
compactly supported wavelets have been implemented to formulate the nonlinear phenomena to describe the super/sub
harmonics observed in the frequency domain response of the structure when subjected to a harmonic excitation. The
computationally efficient proposed formulation involves an iterative scheme which switches between time and
transformed domain and is then validated by the results of time integration method of solution.