Wavelet based simulation of a piecewise linear SDOF oscillatory system

Soumendu Bagchi; Dhanashri M. Joglekar; Mira Mitra

doi:10.1117/12.2084514

23 March 2015 Wavelet based simulation of a piecewise linear SDOF oscillatory system

Soumendu Bagchi, Dhanashri M. Joglekar, Mira Mitra

Proceedings Volume 9438, Health Monitoring of Structural and Biological Systems 2015; 94380G (2015) https://doi.org/10.1117/12.2084514
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2015, San Diego, California, United States

Abstract

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.

Citation Download Citation

Soumendu Bagchi, Dhanashri M. Joglekar, and Mira Mitra "Wavelet based simulation of a piecewise linear SDOF oscillatory system", Proc. SPIE 9438, Health Monitoring of Structural and Biological Systems 2015, 94380G (23 March 2015); https://doi.org/10.1117/12.2084514

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