• 文献标题:   Nonlinear resonance of axially moving graphene platelet-reinforced metal foam cylindrical shells with geometric imperfection
  • 文献类型:   Article
  • 作  者:   DING HX, SHE GL
  • 作者关键词:   axially moving shell, initial geometric imperfection, primary resonance, graphene platelet, metal foam
  • 出版物名称:   ARCHIVES OF CIVIL MECHANICAL ENGINEERING
  • ISSN:   1644-9665 EI 2083-3318
  • 通讯作者地址:  
  • 被引频次:   3
  • DOI:   10.1007/s43452-023-00634-6
  • 出版年:   2023

▎ 摘  要

The present work pays attention to the primary resonance of axially moving graphene-reinforced mental foam (GPLRMF) cylindrical shells with geometric imperfection. Porosities and graphene platelets (GPLs) are uniformly or non-uniformly distributed along the thickness direction of the cylindrical shell. Considering the influences of initial geometric imperfection and axial velocity, the equivalent elastic modulus is calculated by Halpin-Tsai model, and the equivalent density and Poisson's ratio are described by the mixture rule. Using the energy principle, the nonlinear equations of motion are derived. Considering two different boundary conditions, the nonlinear primary resonance response is obtained using the modified Lindstedt Poincare (MLP) method. The results indicate that the MLP method can effectively overcome the limitation of traditional perturbation method. In the end, we study the effects of the GPLs distribution patterns, GPLs weight fraction, the porosity coefficient, axial velocity, initial geometric imperfection, and the prestressing force on the resonance problems. It can be found that the presence of initial geometric imperfection can alter the frequency response curve from the characteristics of the hard spring to the soft spring.