Coupled efficient layerwise finite element modeling for active vibration control of smart composite and sandwich shallow shells

Kapuria, S.; Yasin, M. Yaqoob

doi:10.1177/1045389x13517149

Cited by 6 publications

(5 citation statements)

References 37 publications

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“…A smart multi-layered curved shallow shell [5] is considered. The shell is shallow and its middle surface can be represented by the planform coordinates (x, y) for the rectangular orthotropy.…”

Section: Efficient Zigzag Theory For Hybrid Piezoelectric Shellmentioning

confidence: 99%

“…The electric potential  is assumed to be piecewise quadratic [5] between n  interpolation points along the thickness.…”

Section: Efficient Zigzag Theory For Hybrid Piezoelectric Shellmentioning

confidence: 99%

“…A four-node quadrilateral element [5] based on the coupled zigzag theory is presented for the analysis of doubly curved shallow shells. As the highest derivatives of …”

Section: Finite Element Formulationmentioning

confidence: 99%

“…Ray [4] presented an analytical solution based on the coupled CLT for active vibration control of simply supported cylindrical shells. Kapuria and Yasin [5] studied the active vibration suppression of smart shallow shells using a four-node quadrilateral shell element based on a fully coupled efficient layerwise (zigzag) theory. Ray and Reddy [6] demonstrated the active vibration control of laminated cylindrical shells using optimally placed patches of active constrained layer damping treatment.…”

Section: Introductionmentioning

confidence: 99%

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Active vibration control of composite shallow shells: An integrated approach

Rahman¹,

Alam²,

Junaid³

2018

J. MECH. ENG. SCI.

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Active vibration control of smart composite shallow shells with distributed piezoelectric sensors and actuators is presented in this work. An integrated approach is used for recording the uncontrolled and controlled vibration response under pressure impulse load. The FE model developed in ABAQUS is utilized to generate the global mass, stiffness and load matrices of the system. The system matrices are arranged in statespace format and the dynamic equations of the system are obtained. The controlled responses are achieved using the inputs from FE model in ABAQUS in conjunction with the developed MATLAB codes for Constant Gain Velocity Feedback (CGVF) and Linear Quadratic Regulator (LQR) control strategies. The method is first validated by comparing the natural frequencies obtained using the ABAQUS generated matrices with that obtained using an FE model with four noded quadrilateral shallow shell element based on efficient zigzag theory. The shell element uses the concept of electric nodes to satisfy the equipotential condition of electrode surface. An 8-noded linear piezoelectric brick element is used for piezoelectric layers and an 8-noded quadrilateral continuum shell element is used for the elastic layers of hybrid shells for making the finite element mesh in ABAQUS. The non-dimensional natural frequencies and active vibration control responses for hybrid composite cylindrical and spherical shells are presented for clamped-clamped and cantilever boundary conditions. Boundary conditions have significant effect on vibration amplitude, control voltage and settling time. In comparison to CGVF controller, a better control in lesser time is achieved with LQR controller for a shell with similar boundary conditions. Larger gain values (G) are required for vibration control of thick shells.

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Section: Efficient Zigzag Theory For Hybrid Piezoelectric Shellmentioning

confidence: 99%

“…The electric potential  is assumed to be piecewise quadratic [5] between n  interpolation points along the thickness.…”

Section: Efficient Zigzag Theory For Hybrid Piezoelectric Shellmentioning

confidence: 99%

“…A four-node quadrilateral element [5] based on the coupled zigzag theory is presented for the analysis of doubly curved shallow shells. As the highest derivatives of …”

Section: Finite Element Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Active vibration control of composite shallow shells: An integrated approach

Rahman¹,

Alam²,

Junaid³

2018

J. MECH. ENG. SCI.

View full text Add to dashboard Cite

show abstract

“…Xu and Koko 19 studied the AVC of a smart beam, where the FE model is constructed by ANSYS. Kapuria and Yasin [20][21][22] investigated the AVC of a laminated beam with piezoelectric actuators/sensors and a multilayered plate integrated with piezoelectric fiber reinforced composites, respectively. Khot et al 23 studied the AVC of a piezoelectric beam using PID algorithm by extracting the state-space (SS) model from the FE model.…”

Section: Introductionmentioning

confidence: 99%

Effective finite element model in-loop system of laminated cylindrical structure for multiple inputs and multiple outputs active vibration control

Liu

Cui

Qiao

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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Active vibration control of large laminated cylindrical structures, for example, the cabin of space, air, surficial or subaqueous vehicles, usually requires multiple inputs and multiple outputs to the system, since there are usually multiple vibration sources and each source contains multiple frequency components. The performance of multiple inputs and multiple outputs control system will be dramatically affected by the complex dynamic behavior of the laminated cylindrical structure, thus an effective model is in great request in analyzing and designing the control system. However, there is seldom distributed parametric model, typically, finite element model, applying to the active vibration control system, because of its computational complexity. In this work, we propose an effective finite element model in-loop system of laminated cylindrical structure for multiple inputs and multiple outputs active vibration control simulation. Firstly, an finite element model of laminated thick cylindrical structure with four-node Mindlin degenerated shell element has been constructed. Then, a model reduction procedure has been proposed to obtain in-loop model of the control system. The numerical global modal analysis and harmonic response analysis of the cylindrical structure have been conducted to verify the correctness of the model. Afterward, a multiple inputs and multiple outputs adaptive algorithm which is able to coup with multiple frequencies and multiple sources vibration has been applied to the finite element model in-loop system. Finally, four numerical case studies have been conducted, in which the vibration sources contain multiple frequency components and artificial colored noises. The result shows that the vibration of the multiple control points can be dramatically suppressed simultaneously, which demonstrates the effectiveness of the algorithm and finite element model in-loop system.

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A coupled efficient layerwise finite element model for free vibration analysis of smart piezo-bonded laminated shells featuring delaminations and transducer debonding

Kapuria

Ahmed

2021

International Journal of Mechanical Sciences

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Coupled efficient layerwise finite element modeling for active vibration control of smart composite and sandwich shallow shells

Cited by 6 publications

References 37 publications

Active vibration control of composite shallow shells: An integrated approach

Active vibration control of composite shallow shells: An integrated approach

Effective finite element model in-loop system of laminated cylindrical structure for multiple inputs and multiple outputs active vibration control

A coupled efficient layerwise finite element model for free vibration analysis of smart piezo-bonded laminated shells featuring delaminations and transducer debonding

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