Abstract
Abstract The present study develops and applies a neuro-fuzzy modal vibration control of smart laminated composite structures with piezoelectric layers via Mixed theory. Differently from previous studies, the composite structures in this paper are modeled via the Mixed Theory using the High-order Shear Deformation Theory (HSDT) theory. The Mixed Theory adopts a single layer when representing the mechanical displacement field, through HSDT theory, and multiple layers (Layerwise theory) for the electrical degrees of freedom. The Mixed Theory is computationally implemented in the Matlab® software using a plate-type element called Serendipity. Moreover, a neuro-fuzzy active vibration controller is implemented to attenuate the vibration of the smart composite structures. The numerical results validate the electric-mechanical coupling adopted, showing the importance of the mixed theory in the static and dynamic modeling of slender beams and plates with piezoelectric layers. Finally, the results of the robustness analysis indicate that the neuro-fuzzy controller has benefits compared with the linear quadratic regulator.
Highlights
Laminated composite materials have been applied to numerous manufactured products due to their high resistance/weight relation
Three different numerical applications have been implemented in the Matlab® programming platform to illustrate the use and validate the formulation of the High-order Shear Deformation Theory (HSDT) model associated with the Layerwise Theory, originating the Mixed Theory applied to the modeling of laminated composite structures via MEF
The effectiveness presented by the Layerwise-HSDT model in modelling thin and thick laminated composite plates which are free from transverse shear locking has been demonstrated
Summary
Laminated composite materials have been applied to numerous manufactured products due to their high resistance/weight relation. According to Reddy (2003), whenever the focus is aimed at studying local effects in composite materials such as delamination mechanisms between adjacent layers, fiber rupture and edge effects, Layerwise theories are more appropriate than those formulated with the Equivalent Single Layer approach, which is rather recommended for analyses involving global performances of the composite laminate (e.g. the determination of natural frequencies, vibration modes and displacements) This is why HSDT has been adopted . The present study proposes the active modal control of smart laminated composite structures by using linear quadratic regulator approach and neuro-fuzzy control taking into account the dynamics of the composite structure based on the High-order Shear Deformation Theory (HSDT). Despite many studies on laminated composite structures theories and in the active vibration control of them, the novelty of the present paper lies in the application of the Neuro-Fuzzy control in the modal domain, taking into account the dynamics of the composite structure based on the High-Order Shear Deformation Theory (HSDT)
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