Nonlinear free and forced thermo-electro-aero-elastic vibration and dynamic response of piezoelectric functionally graded laminated composite shells

Rafiee, Mohammad; Mohammadi, Mohsen; Aragh, B. Sobhani; Yaghoobi, Hessameddin

doi:10.1016/j.compstruct.2012.12.050

Cited by 41 publications

(16 citation statements)

References 21 publications

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“…Rafiee et al [283,284] studied non linear vibrations of FG shells with piezoelectric layers in thermal environments and subjected to supersonic airflow. The method of multiple scales was used and the analysis was based on a single degree of freedom approxima tion that showed hardening type behavior.…”

Section: Closed Fgm Shellsmentioning

confidence: 99%

Non-linear vibrations of shells: A literature review from 2003 to 2013

Alijani

Amabili

2014

International Journal of Non-Linear Mechanics

214

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International audienceThe present literature review focuses on geometrically non linear free and forced vibrations of shells made of traditional and advanced materials. Flat and imperfect plates and membranes are excluded. Closed shells and curved panels made of isotropic, laminated composite, piezoelectric, functionally graded and hyperelastic materials are reviewed and great attention is given to non linear vibrations of shells subjected to normal and in plane excitations. Theoretical, numerical and experimental studies dealing with particular dynamical problems involving parametric vibrations, stability, dynamic buckling, non stationary vibrations and chaotic vibrations are also addressed. Moreover, several original aspects of non linear vibrations of shells and panels, including (i) fluid structure interactions, (ii) geometric imperfections, (iii) effect of geometry and boundary conditions, (iv) thermal loads, (v) electrical loads and (vi) reduced order models and their accuracy including perturbation techniques, proper orthogonal decomposition, non linear normal modes and meshless methods are reviewed in depth

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Section: Closed Fgm Shellsmentioning

confidence: 99%

Non-linear vibrations of shells: A literature review from 2003 to 2013

Alijani

Amabili

2014

International Journal of Non-Linear Mechanics

214

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“…Furthermore, the nonlinear-flexural response of piezoelectrically-driven microcantilever sensors was presented by Mahmoodi et al [28]. Rafiee et al [29,30] investigated the nonlinear free and forced thermo-electroaero-elastic vibration of piezoelectric functionally graded laminated composite shells. Hadjiloizi et al [31,32] studied the analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates.…”

Section: Introductionmentioning

confidence: 98%

Nonlinear forced vibration response of smart two-phase nano-composite beams to external harmonic excitations

Mareishi

Kalhori

Rafiee

et al. 2015

Curved and Layered Structures

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This paper presents an analytical solution for nonlinear free and forced vibration response of smart laminated nano-composite beams resting on nonlinear elastic foundation and under external harmonic excitation. The structure is under a temperature change and an electric excitation through the piezoelectric layers. Different distribution patterns of the single walled aligned and straight carbon nanotubes (SWCNTs) through the thickness of the beam are considered. The beam complies with Euler-Bernoulli beam theory and von Kármán geometric nonlinearity. The nonlinearity is due to the mid-plane stretching of the beam and the nonlinear stiffness of the elastic foundation. The Multiple Time Scales perturbation scheme is used to perform the nonlinear dynamical analysis of functionally graded carbon nanotube-reinforced beams. Analytical expressions of the nonlinear natural frequencies, nonlinear dynamic response and frequency response of the system in the case of primary resonance have been presented. The effects of different parameters including applied voltage, temperature change, beam geometry, the volume fraction and distribution pattern of the carbon nanotubes on the nonlinear natural frequencies and frequency-response curves are presented. It is found that the volume fractions of SWCNTs as well as their distribution pattern significantly change the behavior of the system.

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“…Rafiee et al [21] studied nonlinear vibration and dynamic response of the simply supported piezoelectric FGM shells under combined electrical, thermal, mechanical and aerodynamic loading. Liew et al [22] examined the postbuckling behavior of functionally graded material FGM rectangular plates that are integrated with surface-bonded piezoelectric actuators and are subjected to the combined action of uniform temperature change, in-plane forces, and constant applied actuator voltage.…”

Section: Introductionmentioning

confidence: 99%