TY - JOUR
T1 - Vibrational Analysis of Curved Single-Walled Carbon Nanotube on a Pasternak Elastic Foundation
AU - Mehdipour, I.
AU - Barari, Amin
AU - Kimiaeifar, Amin
AU - Domairry, G.
PY - 2012
Y1 - 2012
N2 - Continuum mechanics and an elastic beam model were employed in the nonlinear force vibrational analysis of an embedded, curved, single-walled carbon nanotube. The analysis considered the effects of the curvature or waviness and midplane stretching of the nanotube on the nonlinear frequency. By utilizing He’s Energy Balance Method (HEBM), the relationships of the nonlinear amplitude and frequency were expressed for a curved, single-walled carbon nanotube. The amplitude frequency response curves of the nonlinear free vibration were obtained for a curved, single-walled carbon nanotube embedded in a Pasternak elastic foundation. Finally, the influence of the amplitude of the waviness, midplane stretching nonlinearity, shear foundation modulus, surrounding elastic medium, radius, and length of the curved carbon nanotube on the amplitude frequency response characteristics are discussed. As a result, the combination effects of waviness and stretching nonlinearity on the nonlinear frequency of the curved SWCNT with a small outer radius were larger than the straight one.
AB - Continuum mechanics and an elastic beam model were employed in the nonlinear force vibrational analysis of an embedded, curved, single-walled carbon nanotube. The analysis considered the effects of the curvature or waviness and midplane stretching of the nanotube on the nonlinear frequency. By utilizing He’s Energy Balance Method (HEBM), the relationships of the nonlinear amplitude and frequency were expressed for a curved, single-walled carbon nanotube. The amplitude frequency response curves of the nonlinear free vibration were obtained for a curved, single-walled carbon nanotube embedded in a Pasternak elastic foundation. Finally, the influence of the amplitude of the waviness, midplane stretching nonlinearity, shear foundation modulus, surrounding elastic medium, radius, and length of the curved carbon nanotube on the amplitude frequency response characteristics are discussed. As a result, the combination effects of waviness and stretching nonlinearity on the nonlinear frequency of the curved SWCNT with a small outer radius were larger than the straight one.
KW - Midplane Stretching
KW - Energy Balance Method
KW - Curved Carbon Nanotube
KW - Nonlinear Vibration
KW - Elastic Foundation
KW - Pasternak Foundation
KW - Midplane Stretching
KW - Energy Balance Method
KW - Curved Carbon Nanotube
KW - Nonlinear Vibration
KW - Elastic Foundation
KW - Pasternak Foundation
UR - http://www.scopus.com/inward/record.url?scp=84856983268&partnerID=8YFLogxK
U2 - 10.1016/j.advengsoft.2012.01.004
DO - 10.1016/j.advengsoft.2012.01.004
M3 - Journal article
SN - 0965-9978
VL - 48
SP - 1
EP - 5
JO - Advances in Engineering Software
JF - Advances in Engineering Software
IS - JUN 2012
ER -