• 文献标题:   Size-dependent free vibration analysis of functionally graded porous piezoelectric sandwich nanobeam reinforced with graphene platelets with consideration of flexoelectric effect
  • 文献类型:   Article
  • 作  者:   CHEN QQ, ZHENG SJ, LI ZJ, ZENG CY
  • 作者关键词:   piezoelectric sandwich nanobeam, functionally graded material, graphene platelet, the modified strain gradient theory, flexoelectric effect
  • 出版物名称:   SMART MATERIALS STRUCTURES
  • ISSN:   0964-1726 EI 1361-665X
  • 通讯作者地址:  
  • 被引频次:   25
  • DOI:   10.1088/1361-665X/abd963
  • 出版年:   2021

▎ 摘  要

This paper investigates the effect of flexoelectricity on the vibration responses of functionally graded porous piezoelectric sandwich nanobeam reinforced by graphene platelets (GPLs). The Euler-Bernoulli beam theory and the general modified strain gradient theory are employed to formulate the constitutive equations. Different distributions of porosity and GPLs dispersion patterns are considered and the Halpin-Tsai model is used to predict Young's modulus and density of the nanobeam. The governing equations and boundary conditions are derived based on the general strain gradient theory and solved by differential quadrature method. A parametric study is accomplished to investigate the effects of flexoelectricity, size-dependence, porosity coefficient, GPLs weight fraction, porosity distributions as well as GPLs dispersion patterns on the fundamental frequency of composite nanobeam. Numerical results indicate that the porosity, GPLs and flexoelectricity can effectively influence the vibration behavior of nanobeam.