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Elasto-Plastic Modeling of Beams for Impedance Based Structural Health Monitoring

[+] Author Affiliations
Naserodin Sepehry

Shahrood University of Technology, Shahrood, Iran

Firooz Bakhtiari-Nejad

Amirkabir University of Technology, Tehran, Iran

Weidong Zhu

University of Maryland, Baltimore County, Baltimore, MD

Paper No. IMECE2018-87910, pp. V011T01A004; 5 pages
  • ASME 2018 International Mechanical Engineering Congress and Exposition
  • Volume 11: Acoustics, Vibration, and Phononics
  • Pittsburgh, Pennsylvania, USA, November 9–15, 2018
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5216-3
  • Copyright © 2018 by ASME


The structural health monitoring by piezoelectric wafer active sensor (PWAS) using electromechanical impedance method used for monitoring of structure. In present work impedance method of elasto-plastic beam structure is studied. In order to model the effect of a plastic in beam, the moment-curvature relationship for elasto-plastic region for loading and unloading is used. The finite difference method is used to discretize beam with piezoelectric. The piezoelectric actuator is modeled by equivalent moment. Then output current of piezoelectric sensor is calculated. Firstly, elastic modeling of beam is considered that this is leads to linear system equation. In linear system, time domain system equations are calculated and Fourier transform of current output obtained, and then impedance of PWAS in frequency domain is calculated. Secondly, the elasto-plastic of beam is modeled. This phenomenon leads to the nonlinear system equations. These nonlinear equations are solved using finite difference method for any harmonic voltage applied to actuator. Then impedance of PWAS is calculated. Two methods are used to detect elasto-plastic modeling on PWAS impedance. At the first, frequency response of elastic beam as intact model is compared with elasto-plastic results in a desired frequency range. Second, only frequency response of one harmonic is computed with its super-harmonics. Finally, the detection method of linear is compared with nonlinear model.

Copyright © 2018 by ASME



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