An electro-mechanical impedance model of a cracked composite beam with adhesively bonded piezoelectric patches |
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Authors: | Wei Yan JB Cai |
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Institution: | a Faculty of Architectural, Civil Engineering and Environment, Ningbo University, Ningbo 315211, PR China b Department of Civil Engineering, Zhejiang University, Zijingang Campus, Hangzhou 310058, PR China c Department of Engineering Mechanics, Zhejiang University, Yuquan Campus, Hangzhou 310027, PR China |
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Abstract: | A model of a laminated composite beam including multiple non-propagating part-through surface cracks as well as installed PZT transducers is presented based on the method of reverberation-ray matrix (MRRM) in this paper. Toward determining the local flexibility characteristics induced by the individual cracks, the concept of the massless rotational spring is applied. A Timoshenko beam theory is then used to simulate the behavior of the composite beam with open cracks. As a result, transverse shear and rotatory inertia effects are included in the model. Only one-dimensional axial vibration of the PZT wafer is considered and the imperfect interfacial bonding between PZT patches and the host beam is further investigated based on a Kelvin-type viscoelastic model. Then, an accurate electro-mechanical impedance (EMI) model can be established for crack detection in laminated beams. In this model, the effects of various parameters such as the ply-angle, fibre volume fraction, crack depth and position on the EMI signatures are highlighted. Furthermore, comparison with existent numerical results is presented to validate the present analysis. |
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