• 文献标题:   Nonlinear forced vibration of simply supported functionally graded porous nanocomposite thin plates reinforced with graphene platelets
  • 文献类型:   Article
  • 作  者:   TENG MW, WANG YQ
  • 作者关键词:   foam plate, graphene platelet, nonlinear forced vibration, primary resonance, superharmonic resonance, subharmonic resonance, method of multiple scale
  • 出版物名称:   THINWALLED STRUCTURES
  • ISSN:   0263-8231 EI 1879-3223
  • 通讯作者地址:  
  • 被引频次:   53
  • DOI:   10.1016/j.tws.2021.107799 EA APR 2021
  • 出版年:   2021

▎ 摘  要

Nonlinear forced vibration of graphene platelet reinforced metal foam (GPLRMF) rectangular plates is investigated. Attention is focused on the primary, superharmonic, and subharmonic resonances of this novel nanocomposite structure. Three kinds of graphene platelet (GPL) pattern and three kinds of porosity distribution are taken into account. Based on the von Karman nonlinear plate theory, governing equations and general boundary conditions of the GPLRMF plates are obtained via Hamilton's principle. By introducing stress functions, nonlinear ordinary differential equations of the plates are obtained by using the Galerkin method. Then, frequency-response and force-response relationships of the GPLRMF plates are solved by applying the multiple scale method. A validation study is conducted to verify the present method. Results show that GPLRMF plates exhibit hardening nonlinearity in primary and superharmonic resonances. Dispersing more small-size pores or more GPLs near the middle surface will lead to the larger vibration amplitude and resonance domain of the plates in primary and superharmonic resonances. While uniformly distributed pores or uniformly distributed GPLs will result in the larger vibration amplitude in the case of subharmonic. Moreover, change of porosity coefficient or GPL weight fraction can significantly alter the nonlinear dynamic behavior of GPLRMF plates.