Related Experiment Video
Updated: May 11, 2025

A Polymer-based Piezoelectric Vibration Energy Harvester with a 3D Meshed-Core Structure
Published on: February 20, 2019
Bending and vibration behavior of functionally graded piezoelectric nanobeams considering dynamic flexoelectric and
Peng Wang1, Bai Qiang Liu2, Xiao Tong Peng3
1School of Civil Engineering and Architecture, University of Jinan, Jinan, 250022, China. sdpengwang@163.com.
Abstract:
This paper develops a more comprehensive theoretical model for functionally graded material (FGM) piezoelectric nanobeams. The model incorporates a Winkler-Pasternak linear elastic foundation and fully accounts for the effects of dynamic flexoelectric, surface effects, and higher-order electric fields. The purpose of this study is to investigate the bending behavior and free vibration characteristics of Euler-Bernoulli beam models considering functionally graded materials. The governing equations and boundary conditions are produced using Hamilton's variational principle. The Fourier series expansion approach is used to create the analytical solution for the bending problem. Then the analytical equation for the natural frequencies is obtained using the Navier method. The bending performance, electromechanical coupling characteristics, and normalized natural frequencies of FGM piezoelectric nanobeams are all significantly impacted by higher-order electric fields, gradient index, dynamic flexoelectric effects, surface effects, and the Winkler-Pasternak elastic foundation, according to numerical analysis. For the design and optimization of micro/nano energy harvesters and resonators, this paper offers theoretical insights and references.
More Related Videos
Related Concept Videos
Members Made of Elastoplastic Material
As the bending moment...
Dynamic Modulus of Elasticity of Concrete
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by...
Plastic Deformations
Design of Prismatic Beams for Bending
Deformations in a Transverse Cross Section
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

