Author : N. Jinesh 1
Date of Publication :7th March 2017
Abstract: The concept of damage identification scheme for single/multiple crack in beam is presented, based on one dimensional Piezo Electric ZirconiumTtitanium (PZT) patch with beam model. Hybrid element constituted of one dimensional beam element and a PZT sensor is used with reduced material properties. The Finite Element Model (FEM) model of hybrid element constituted of beam and a PZT sensor is formulated based on One Dimensional approach. The reduced piezoelectric stiffness, coupling and dielectric properties are used for the PZT patch sensor. The Crack Identification is posed as an inverse problem whereby unknown crack parameters(depth and location) are identified by minimizing Objective function of the mean square of the deviation between predicted and measured voltage response obtained from the PZT patches. A non-classical heuristic Particle Swarm Optimization (PSO) is used to minimize this objective function. Using fracture mechanics concept, crack is modeled as a hinge which provides an additional flexibility to the element and cracked stiffness matrices are formulated based on FEM procedure. In the proposed method, PZT patches are attached to either end of the concerned beam. This model is convenient and simple for identification of beams. The signals are polluted with 5% Gaussian noise to simulate experimental data. The feasibility of the proposed approach is proved by numerical studies on a beam with single and double crack per element.
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