Abstract
The vibration reduction and health control of structures have become issues of an essential interest in many sectors of innovative industries, particularly in the fields of aeronautics, aerospace, biomechanics, transportation and others. The insertion techniques of new materials and smart structures in the mechanical systems allow getting gains in cost, maintenance and more accurate monitoring for smaller design margins and a reduction in weight of these structures. In this context, our study revolves around the control of health and deformation of smart structures, taking into account the mechanical and piezoelectric behaviour of sensors and PZT actuators, mechanical contact as well as the initial conditions and the imposed boundary conditions. In this work, an approach for modelling of an
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