An exact dynamic stiffness element using a higher order shear deformation theory for free vibration analysis of composite plate assemblies

Fazzolari, Fiorenzo A.; Boscolo, Marco; Banerjee, J.R.

doi:10.1016/j.compstruct.2012.08.033

Cited by 70 publications

(31 citation statements)

References 43 publications

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“…In this regard, MsPs are utilized in many smart structures such as magneto-mechanical sensors, actuators, acoustic/ultrasonic transducers, fuel injectors, active noise and vibration cancellation. Higher order shear deformation theory [14] First order shear deformation theory [12] ) Figure 10 Comparison of the results using three different plate theories. …”

Section: Resultsmentioning

confidence: 98%

“…Higher-order shear deformation theory presented in Ref. [14] and first-order shear deformation theory developed in Ref. [12] were used to compare the results with sinusoidal shear deformation theory.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Considering different boundary conditions at four edges, the exact closed-form solutions were obtained. Free vibration analysis of composite plate assemblies was studied using symbolic computation by Fazzolari et al [14]. For the first time they developed an exact dynamic stiffness method based on higher-order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

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A feedback control system for vibration of magnetostrictive plate subjected to follower force using sinusoidal shear deformation theory

Arani

Maraghi

2016

Ain Shams Engineering Journal

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In this research, the vibrational behavior of magnetostrictive plate (MsP) as a smart component is studied. The plate is subjected to an external follower force and a magnetic field in which the vibration response of MsP has been investigated for both loading combinations. The velocity feedback gain parameter is evaluated to study the effect of magnetic field which is generated by the coil. Sinusoidal shear deformation theory is utilized due to its accuracy of polynomial function with respect to other plate theories. Equations of motion are derived using Hamilton's principle and solved by differential quadrature method (DQM) considering general boundary conditions. The effects of aspect ratio, thickness ratio, follower force and velocity feedback gain are investigated on the frequency response of MsP. Results indicate that magneto-mechanical coupling in MsM helps to control vibrational behaviors of systems such as electro-hydraulic actuator, wireless linear Motors and sensors. Ó 2015 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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Section: Resultsmentioning

confidence: 98%

Section: Numerical Results and Discussionmentioning

confidence: 99%

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A feedback control system for vibration of magnetostrictive plate subjected to follower force using sinusoidal shear deformation theory

Arani

Maraghi

2016

Ain Shams Engineering Journal

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Citation: Fazzolari, F. A., Banerjee, J. R. and Boscolo, M. (2013). Buckling of composite plate assemblies using higher order shear deformation theory-An exact method of solution.

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mentioning

confidence: 99%

“…The DSM based on Lèvy-type closed form solution for plates [5] is indeed an exact approach to the solution procedure. Wittick [6] laid the groundwork of the DSM for plates.…”

Section: Introductionmentioning

confidence: 99%

Buckling of composite plate assemblies using higher order shear deformation theory—An exact method of solution

Fazzolari

Banerjee

Boscolo

2013

Thin-Walled Structures

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Citation: Fazzolari, F. A., Banerjee, J. R. and Boscolo, M. (2013). Buckling of composite plate assemblies using higher order shear deformation theory-An exact method of solution. Thin-Walled Structures, 71, pp. 18-34. doi: 10.1016/j.tws.2013 This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent AbstractAn exact dynamic stiffness element based on higher order shear deformation theory and extensive use of symbolic algebra is developed for the first time to carry out a buckling analysis of composite plate assemblies. The principle of minimum potential energy is applied to derive the governing differential equations and natural boundary conditions. Then by imposing the geometric boundary conditions in algebraic form the dynamic stiffness matrix, which includes contributions from both stiffness and initial pre-stress terms, is developed. The Wittrick-Williams algorithm is used as solution technique to compute the critical buckling loads and mode shapes for a range of laminated composite plates including stiffened plates. The effects of significant parameters such as thickness-to-length ratio, orthotropy ratio, number of layers, lay-up and stacking sequence and boundary conditions on the critical buckling loads and mode shapes are investigated. The accuracy of the method is demonstrated by comparing results whenever possible with those available in the literature.

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Free vibration of partially fluid-filled or fluid-surrounded composite shells using the dynamic stiffness method

Zhu

2020

Acta Mech

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An exact dynamic stiffness element using a higher order shear deformation theory for free vibration analysis of composite plate assemblies

Abstract: An exact dynamic stiffness element using a higher order shear deformation theory for free vibration analysis of composite plate assemblies. Composite Structures, 96, pp. 262-278.

Cited by 70 publications

References 43 publications

A feedback control system for vibration of magnetostrictive plate subjected to follower force using sinusoidal shear deformation theory

A feedback control system for vibration of magnetostrictive plate subjected to follower force using sinusoidal shear deformation theory

Buckling of composite plate assemblies using higher order shear deformation theory—An exact method of solution

Free vibration of partially fluid-filled or fluid-surrounded composite shells using the dynamic stiffness method

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