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.

Date Published: 23 March 2015
PDF: 9 pages
Proc. SPIE 9438, Health Monitoring of Structural and Biological Systems 2015, 94380G (23 March 2015); doi: 10.1117/12.2084514

Published in SPIE Proceedings Vol. 9438:
Health Monitoring of Structural and Biological Systems 2015
Tribikram Kundu, Editor(s)