https://doi.org/10.1140/epjp/s13360-022-02934-x
Regular Article
Electro-mechanical vibration and stress field of piezoelectric nanobeam with symmetrical FGM core under the low-velocity impact
1
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, 410082, Changsha, Hunan, China
2
College of Mechanical and Vehicle Engineering, Hunan University, 410082, Changsha, Hunan, China
Received:
5
April
2022
Accepted:
8
June
2022
Published online:
30
June
2022
Piezoelectric structures promote the development of intelligent technologies, growing interest for the potential applications in an abundance of emerging fields, especially in aerospace. The current research analyzes the low-velocity impact behaviors and bending stress field of piezoelectric nanobeam with the FGM(functionally graded materials) core. Based on the nonlocal strain gradient theory and in-plane bending assumption, the constitutive model considering the mechanical-electric coupling effect is modified. Reddy’s modified theory of high-order shear beam is adopted to construct the framework of displacement fields. To obtain the post-buckling equilibrium path induced by the external voltage, the perturbation scheme for external voltage is proposed. The dynamic governing equations of pre- and post-buckled piezoelectric nanobeam are derived, and the extended calculation method combining the two-step perturbation technique and high-order Galerkin integral is developed. Ultimately, the contact force, midspan displacement, and bending stress field between pre-buckled and post-buckled piezoelectric laminated nanobeams are discussed for the first time. The numerical results firstly reveal the effect of post-buckling deformation induced by the external electric field on the stiffness of piezoelectric laminated beams, and the influence approach of electro-mechanical coupling on impact responses is analyzed. Furthermore, snap-through and its sensitive range are captured.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
