TY - GEN
T1 - Modeling and Vibration Analysis of a Nonlinear Piezoelectric Flexoelectric Nanobeam
AU - Baroudi, Sourour
AU - Najar, Fehmi
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2023
Y1 - 2023
N2 - In this work, we study and analyze the behavior of a flexoelectric piezoelectric clamped-clamped nanobeam in different actuation conditions. The nanobeam is modeled based on the Euler-Bernoulli theory. Since large displacements are expected at the nanoscale, the model accounts for geometric nonlinearities by the use of von Karman strain. The mid-plane stretching effect is also taken into account due to the restrictive boundary conditions. The electric filed is considered with a bidirectional aspect combined with a nonlinear variation of the electric potential. Using the Hamilton principle and the Galerkin procedure, the nonlinear reduced order model is calculated. The static force-response of the nanobeam is investigated showing the nonlinear aspect of the solution which is more pronounced for small applied voltages. Under this effect a buckling phenomenon is detected while an externally applied force can strongly disturb qualitatively and quantitatively the occurrence of the buckling. Concerning the dynamic behavior of the device, a continuation technique is used to generate the frequency-response curves. The dynamic response showed that under the application of a harmonically varied voltage, multiple solutions can be detected with stable and unstable characteristics. Also, only a parametric excitation through the applied voltage was possibly used to dynamically excite the nanobeam.
AB - In this work, we study and analyze the behavior of a flexoelectric piezoelectric clamped-clamped nanobeam in different actuation conditions. The nanobeam is modeled based on the Euler-Bernoulli theory. Since large displacements are expected at the nanoscale, the model accounts for geometric nonlinearities by the use of von Karman strain. The mid-plane stretching effect is also taken into account due to the restrictive boundary conditions. The electric filed is considered with a bidirectional aspect combined with a nonlinear variation of the electric potential. Using the Hamilton principle and the Galerkin procedure, the nonlinear reduced order model is calculated. The static force-response of the nanobeam is investigated showing the nonlinear aspect of the solution which is more pronounced for small applied voltages. Under this effect a buckling phenomenon is detected while an externally applied force can strongly disturb qualitatively and quantitatively the occurrence of the buckling. Concerning the dynamic behavior of the device, a continuation technique is used to generate the frequency-response curves. The dynamic response showed that under the application of a harmonically varied voltage, multiple solutions can be detected with stable and unstable characteristics. Also, only a parametric excitation through the applied voltage was possibly used to dynamically excite the nanobeam.
KW - Buckling
KW - Flexoelectric
KW - Geometrical nonlinearity
KW - Nanobeam
KW - Piezoelectric
UR - http://www.scopus.com/inward/record.url?scp=85136917875&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-14615-2_50
DO - 10.1007/978-3-031-14615-2_50
M3 - Conference contribution
AN - SCOPUS:85136917875
SN - 9783031146145
T3 - Lecture Notes in Mechanical Engineering
SP - 448
EP - 455
BT - Design and Modeling of Mechanical Systems - V - Proceedings of the 9th Conference on Design and Modeling of Mechanical Systems, CMSM 2021
A2 - Walha, Lassaad
A2 - Haddar, Mohamed
A2 - Jarraya, Abdessalem
A2 - Djemal, Fathi
A2 - Chouchane, Mnaouar
A2 - Aifaoui, Nizar
A2 - Benamara, Abdelmajid
A2 - Chaari, Fakher
A2 - Abdennadher, Moez
PB - Springer Science and Business Media Deutschland GmbH
T2 - 9th International Congress on Design and Modeling of Mechanical Systems, CMSM 2021
Y2 - 20 December 2021 through 22 December 2021
ER -