• 文献标题:   Free and forced vibrations of graphene platelets reinforced composite laminated arches subjected to moving load
  • 文献类型:   Article
  • 作  者:   MOGHADDASI M, KIANI Y
  • 作者关键词:   graphene reinforced composite, navier method, halpintsai rule, moving load, curved beam
  • 出版物名称:   MECCANICA
  • ISSN:   0025-6455 EI 1572-9648
  • 通讯作者地址:  
  • 被引频次:   13
  • DOI:   10.1007/s11012-022-01476-x EA JAN 2022
  • 出版年:   2022

▎ 摘  要

In the present investigation, free vibration and also forced vibration response of a graphene platelet reinforced composite (GPLRC) laminated curved beam is investigated. It is assumed that each layer of the laminated composite curved beam is reinforced with different amount of graphene platelets which results in a piecewise functionally graded media. Using the first order shear deformation theory, linear strain-displacement relations in polar coordinates, linear elastic constitutive law and the Hamilton principle, the basic governing equations of the curved beam subjected to a moving load are obtained. For the case of a beam with both ends simply supported and applying the Galerkin technique, the governing equations of motion are established. In free vibration analysis, an eigenvalue problem is established while for the case of forced vibration, the Newmark time marching scheme is applied to obtain the temporal evolution of displacement field. The obtained results are well-validated with the available data in the open literature. After that, novel numerical results are provided to explore the influences of different parameters. It is shown that geometrical characteristics of the curved beam and also the weight fraction and distribution patterns of GPLs have significant effects on the free and forced vibration responses of the curved beam. In general, as the weight fraction of GPLs enhances, the frequencies of the curved beam increase and also the induced deflections due to moving load decrease.