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This article studies nonlinear behaviors of a two-dimensional beam with piezoelectric patches on it. Governing electromechanical equations of the beam taking into account several coupled piezoelectric patches, at different positions, are derived. Then, spatiotemporal variables of the system are separated. A methodology is proposed, for the detection of different mode functions and corresponding frequencies...
The current deep knowledge of the mechanical and structural dynamics of wind turbines has been long considered to optimize their design. From an engineering point of view, this optimized design induces a timescale separation that reduces the complexity of the dynamics by decoupling the main physical mechanisms involved: flexion, torsion, and rotational dynamics. Fortunately, the mature theory of singular...
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