Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators

Narayanan, S.; Balamurugan, V.

doi:10.1016/s0022-460x(03)00110-x

Cited by 221 publications

(158 citation statements)

References 24 publications

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“…For ANSYS simulations, PLANE 223 elements are used for modeling piezoelectric layer and PLANE 183 elements for conventional material. The finite elements available in the literature which employ ESL-FSDT with layerwise linear electric potential (LP) distribution like Narayanan and Balamurugan, (2003) are designated here as FSDT-LP. For the purpose of comparing the accuracy of results, FSDT-LP results with no sublayers and with a sufficient number of sublayers per piezoelectric physical layer (four sublayers/piezolayer) are considered.…”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…The results obtained by present FSDT-CP and FSDT-LP of (Narayanan and Balamurugan, 2003) are compared for various thickness ratios r = 2h p h ( ) . The results for tip deflection of the cantilever, plotted in Figure 3, show that FSDT-CP results closely match with ANSYS 2D simulation results for all regimes of thickness ratios.…”

Section: Static Analysis: Actuator Configurationmentioning

confidence: 99%

“…Donthireddy and Chandrashekhara (1996) used layerwise theory with constant through-thickness transverse deflection for parametric study of laminated beams with piezoelectric actuators. First-order Shear Deformation Theory (FSDT) based analytical closed form solutions given by Abramovich (1998), Sun and Huang (2000) and finite elements proposed by Shen (1995), Narayanan and Balamurugan (2003), Neto et al (2009), Rathi andKhan (2012) can be used for static and dynamic analyses of surface mounted extension mode smart beams. ESL-FSDT and Higher-order Shear Deformation Theory (HSDT) based analytical solutions have been proposed by Aldraihem and Khdeir (2000) and Khdeir and Aldraihem (2001) for actuation of these extension mode beams.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An accurate novel coupled field Timoshenko piezoelectric beam finite element with induced potential effects

Sulbhewar

Raveendranath

2014

Lat. Am. j. solids struct.

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An accurate coupled field piezoelectric beam finite element formulation is presented. The formulation is based on First-order Shear Deformation Theory (FSDT) with layerwise electric potential. An appropriate through-thickness electric potential distribution is derived using electrostatic equilibrium equations, unlike conventional FSDT based formulations which use assumed independent layerwise linear potential distribution. The derived quadratic potential consists of a coupled term which takes care of induced potential and the associated change in stiffness, without bringing in any additional electrical degrees of freedom. It is shown that the effects of induced potential are significant when piezoelectric material dominates the structure configuration. The accurate results as predicted by a refined 2D simulation are achieved with only single layer modeling of piezolayer by present formulation. It is shown that the conventional formulations require sublayers in modeling, to reproduce the results of similar accuracy. Sublayers add additional degrees of freedom in the conventional formulations and hence increase computational cost. The accuracy of the present formulation has been verified by comparing results obtained from numerical simulation of test problems with those obtained by conventional formulations with sublayers and ANSYS 2D simulations.

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Section: Numerical Examples and Discussionmentioning

confidence: 99%

Section: Static Analysis: Actuator Configurationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An accurate novel coupled field Timoshenko piezoelectric beam finite element with induced potential effects

Sulbhewar

Raveendranath

2014

Lat. Am. j. solids struct.

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“…For example, magnetorheological materials are used for actuators and piezoelectric materials are used for sensors. [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] A structure system with distributed smart sensors, actuators, and controller is called smart structure, which can sense structural response to external excitations and produce action to control structural response. [21][22][23] The dynamics and controls of structures with piezoelectric and magneto-rheological materials have been studied extensively.…”

Section: Introductionmentioning

confidence: 99%

Optimal Vibration Control for Structural Quasi-Hamiltonian Systems with Noised Observations

Ying¹,

Hu²,

Huan³

2017

IJAV

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A structural control system with smart sensors and actuators is considered and its basic dynamic equations are given. The controlled, stochastically excited, and dissipative Hamiltonian system with a noised observation is obtained by discretizing the nonlinear stochastic smart structure system. The estimated nonlinear stochastic system with control is obtained, in which the optimally estimated state is determined by the observation based on the extended Kalman filter. Then the dynamical programming equation for the estimated system is obtained based on the stochastic dynamical programming principle. From this, the optimal control law dependent on the estimated state is determined. The proposed optimal control strategy is applied to two nonlinear stochastic systems with controls and noised observations. The control efficacy for stochastic vibration response reductions of the systems is illustrated with numerical results. The proposed optimal control strategy is applicable to general nonlinear stochastic structural systems with smart sensors, smart actuators and noised observations.

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“…However, since the deflections are not as excessive as those discussed by Du et al [9] in the system discussed here, this approach would not apply. For the purpose of controlling vibrations Narayanan and Balamurgan [15] formulated an FE model to describe the influence of Lead Ziconate Titantate (PZT) plates used as piezoelectric sensors and actuators along a beam. Based on the above literature, FE modeling is a valid option for modeling the vibration of a two flexible link manipulator.…”

Section: Introductionmentioning

confidence: 99%

Model Predictive Control of Vibration in a Two Flexible Link Manipulator — Part 2

Elliott

Dubay

Mohany

et al. 2014

Journal of Low Frequency Noise, Vibration and Active Control

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A finite element based model predictive controller (FEMPC) is developed and practically implemented for attenuating in-plane vibration of a two flexible link planar manipulator. This FEMPC structure is based on that used in dynamic matrix control (DMC), with the exception that a finite element (FE) model replaces how the predictions are formulated. A linear FE model is developed for each individual link, which is used with the current measured strain and control actions, to predict the response of each link. These predictions are carried out at each time step to address the geometric non-linearities associated with the orientation of the second link and those associated with friction, backlash and compliance of the geared motors. Furthermore, the use of FE modelling enables the control structure to be formulated based on known properties of the system, eliminating the need for open loop testing. The resulting FEMPC scheme is shown to outperform DMC and is capable of providing substantial attenuation of vibration, reducing the mean amplitude of dominant vibration by 92.5% and 15.6%, for the first and second links, respectively. INTRODUCTIONWith lighter linkages and smaller spatial profiles, flexible link manipulators have advantages over their rigid link counterpart, when the payload being moved is relatively lightweight. These advantages include faster accelerations and more efficient operations since less energy is expended to move these lighter flexible linkages. However, the fundamental drawback of these manipulators is their susceptibility to deflection during motion, which leads to inaccurate positioning of the end effector due to the resulting vibration of the linkages. To address this issue active vibration control has been shown to be a potential solution, where actuators, such as piezoelectric plates, are used to counteract the vibration of these linkages, resulting in a more accurate positioning of the end effector.In part 1 of this work model predictive control (MPC) in the form of dynamic matrix control (DMC) was presented as viable control scheme for attenuating vibration of a planar two flexible link manipulator. While shown to work well with short prediction horizons, the selection of short prediction horizons in MPC tends to result in a less stable control as the scheme becomes more sensitive to noise. However, by increasing the prediction horizon the effectiveness of the controller to attenuate vibration is observed to decline. Since DMC control is ideally intended for first order systems, this behavior is viewed as a result of inadequate representation of the dynamics of the linkages when using the dynamic matrix to predict the response of the links. As such, this part shall incorporate an alternative means of modelling the vibration of the linkages into the DMC scheme, this alternative being finite element (FE).

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Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators

Cited by 221 publications

References 24 publications

An accurate novel coupled field Timoshenko piezoelectric beam finite element with induced potential effects

An accurate novel coupled field Timoshenko piezoelectric beam finite element with induced potential effects

Optimal Vibration Control for Structural Quasi-Hamiltonian Systems with Noised Observations

Model Predictive Control of Vibration in a Two Flexible Link Manipulator — Part 2

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