Dynamic Modeling and Neural Control of Composite Shells Using Piezoelectric Devices

Abstract

A modal dynamic model was developed for the active vibration control of laminated doubly curved shells with piezoelectric sensors and actuators. The dynamic effects of the mass and stiffness of the piezoelectric patches were considered in the model. Finite element equations of motion were developed based on shear deformation theory and implemented for an isoparametric shell element. The mode superposition method was used to transform the coupled finite element equations into a set of uncoupled equations in the modal coordinates. A robust controller was developed using Linear Quadratic Gaussian with Loop Transfer Recovery (LQG/LTR) design methodology to calculate the gain and actuator voltage requirements. A Neural Network controller was then designed and trained offline to emulate the performance of the LQG/LTR controller. Numerical results have been presented for a flat plate and a spherical shell showing the variation in initial conditions and structural parameters. The neural network controller was shown to effectively emulate the LQG/LTR controller.

Neuro-Adaptive Vibration Control of Composite Beams Subject to Sudden Delamination

“…The plant output is given as the displacement signal, which is measured 20 mm apart from the clamped boundary. External disturbances given in equation (15) are also applied to the piezoceramic actuator.…”

“…Rao et al [14] presented numerical studies of adaptive controls for vibration suppression of smart structures with shape memory alloy (SMA) actuators. Chandrashekhara and Smyser [15] developed a numerical dynamic model for the active vibration control of laminated doubly curved shells. In their study, a neural network controller was designed and trained o!-line to emulate the performance of linear quadratic Gaussian with loop transfer recovery (LQG/LTR) controller.…”

Micro-Sensor Electromechanics and Distributed Signal Analysis of Piezo(electric)-Elastic Spherical Shells

“…Natural frequencies of a shallow spherical shell and a thin hemisphere shell with free boundary condition have been experimentally verified [16,17]. Distributed sensing and control of shallow spherical shells have been investigated over the past few years [18][19][20][21][22]. However, distributed sensing and control of hemispherical shells have not been thoroughly investigated.…”

Finite element modeling of active control of functionally graded shells in frequency domain via piezoelectric sensors and actuators

“…A shell element for laminated piezoelectric shells has also been constructed by Heyliger and Pei (1996) where a discrete-layer theory that allows for discontinuous shear strains through the shell thickness was employed. Chandrashekhara and Smyser (1998) developed a modal dynamic model for the active vibration control of laminated shells with piezoelectric sensors and actuators. A neural network controller was designed and trained to emulate the performance of the linear quadratic gaussian with loop transfer recovery (LQG/LTR) controller.…”