2017
DOI: 10.1080/15376494.2016.1231356
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Electro-magneto temperature-dependent vibration analysis of functionally graded-carbon nanotube-reinforced piezoelectric Mindlin cylindrical shells resting on a temperature-dependent, orthotropic elastic medium

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Cited by 12 publications
(2 citation statements)
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“…By inserting equations (7) and (25) and (32) in relation (5) and then inserting relation (5) in relation (4), the equations of motion of the cylindrical shell will be obtained as follows: In the energy equations and motion equations some parameters are omitted because of axial symmetry = 0 So the three equations of motion and the two energy equations remain as partial derivatives which must be written in the matrix ̈+̇+ = and the final form of the ordinary differential equations is as follows:…”
Section: Operator Layer Relationsmentioning
confidence: 99%
See 1 more Smart Citation
“…By inserting equations (7) and (25) and (32) in relation (5) and then inserting relation (5) in relation (4), the equations of motion of the cylindrical shell will be obtained as follows: In the energy equations and motion equations some parameters are omitted because of axial symmetry = 0 So the three equations of motion and the two energy equations remain as partial derivatives which must be written in the matrix ̈+̇+ = and the final form of the ordinary differential equations is as follows:…”
Section: Operator Layer Relationsmentioning
confidence: 99%
“…In 2010, Beigloo and Kani [6] vibrations of a multi-layered piezoelectric cylindrical shell and obtained the governing equations by the space-state method investigated. Eftekhar et al [7] Vibration smart control analysis of a temperature-dependent functionally graded (FG)-carbon nanotubes (CNT)-reinforced piezoelectric cylindrical shell embedded in an orthotropic elastic medium is investigated. Jie Xu and Shuyu Lin [8] the threedimensional coupled vibration of composite cylindrical piezoelectric transducers, the cylindrical piezoelectric transducer consists of an inner axially polarized piezoelectric ceramic cylinder and an outer metal cylinder with the same height studied.…”
Section: Introductionmentioning
confidence: 99%