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

Soraya Mareishi; Hamed Kalhori; Mohammad Rafiee; Seyedeh Marzieh Hosseini

Curved and Layered Structures (2015)

- Volume: 2, Issue: 1
- ISSN: 2353-7396

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topSoraya Mareishi, et al. "Nonlinear forced vibration response of smart two-phase nano-composite beams to external harmonic excitations." Curved and Layered Structures 2.1 (2015): null. <http://eudml.org/doc/276880>.

@article{SorayaMareishi2015,

abstract = {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.},

author = {Soraya Mareishi, Hamed Kalhori, Mohammad Rafiee, Seyedeh Marzieh Hosseini},

journal = {Curved and Layered Structures},

keywords = {Nonlinear forced response; nano-composite; harmonic excitation; multiple time scales},

language = {eng},

number = {1},

pages = {null},

title = {Nonlinear forced vibration response of smart two-phase nano-composite beams to external harmonic excitations},

url = {http://eudml.org/doc/276880},

volume = {2},

year = {2015},

}

TY - JOUR

AU - Soraya Mareishi

AU - Hamed Kalhori

AU - Mohammad Rafiee

AU - Seyedeh Marzieh Hosseini

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

JO - Curved and Layered Structures

PY - 2015

VL - 2

IS - 1

SP - null

AB - 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.

LA - eng

KW - Nonlinear forced response; nano-composite; harmonic excitation; multiple time scales

UR - http://eudml.org/doc/276880

ER -

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