Static Deflection

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M. Okuyama - One of the best experts on this subject based on the ideXlab platform.

M Rafiee - One of the best experts on this subject based on the ideXlab platform.

  • modeling and mechanical analysis of multiscale fiber reinforced graphene composites nonlinear bending thermal post buckling and large amplitude vibration
    International Journal of Non-linear Mechanics, 2018
    Co-Authors: M Rafiee, Fred Nitzsche, Michel R Labrosse
    Abstract:

    Abstract In this paper, a mathematical model was developed to predict the effective material properties of graphene nanoplatelets/fiber/polymer multiscale composites (GFPMC). The large Deflection, post-buckling and free nonlinear vibration of graphene nanoplatelets-reinforced multiscale composite beams were studied through a theoretical study. The governing equations of laminated nanocomposite beams were derived from the Euler–Bernoulli beam theory with von Karman geometric nonlinearity. Halpin–Tsai equations and fiber micromechanics were used in hierarchy to predict the bulk material properties of the multiscale composite. Graphene nanoplatelets (GNPs) were assumed to be uniformly distributed and randomly oriented through the epoxy resin matrix. A semi-analytical approach was used to calculate the large Static Deflection and critical buckling temperature of multiscale multifunctional nanocomposite beams. A perturbation scheme was also employed to determine the nonlinear dynamic response and the nonlinear natural frequencies of the beams with clamped–clamped, and hinged–hinged boundary conditions. The effects of weight percentage of graphene nanoplatelets, volume fraction of fibers, and boundary conditions on the Static Deflection, thermal buckling and post-buckling and linear and nonlinear natural frequencies of the GFPMC beams were investigated in detail. The numerical results showed that the central Deflection and natural frequency were significantly improved by a small percentage of GNPs. However, addition of GNPs led to a lower critical buckling temperature.

  • nonlinear free vibration postbuckling and nonlinear Static Deflection of piezoelectric fiber reinforced laminated composite beams
    Composites Part B-engineering, 2014
    Co-Authors: M Rafiee, S Mareishi, K M Liew
    Abstract:

    Abstract Large Static Deflection, mechanical and thermal buckling, postbuckling and nonlinear free vibration of laminated composite beams with surface bonded piezoelectric fiber reinforced composite (PFRC) layers under a combined mechanical, thermal and electrical loading are studied in this paper. The temperature rise is considered to be one-dimensional steady state heat conduction in the thickness direction. The governing equations of the piezoelectric fiber reinforced laminated composite beams are derived based on Euler–Bernoulli beam theory and geometric nonlinearity of von Karman. Rectangular representative volume element (RVE) with rectangular fibers has been considered for piezoelectric fiber reinforced composite. Analytical solution of nonlinear bending and postbuckling analyses has been carried out. A perturbation method is then employed to determine the nonlinear vibration behavior and the nonlinear natural frequencies of the beams with simply supported and clamped boundary conditions. Post-buckling load–Deflection and maximum transverse load–Deflection relations have been obtained for the beam under consideration. The effects of the temperature rise, beam geometry parameter, and the volume fraction of the piezoelectric fibers on the linear and nonlinear fundamental natural frequencies of the piezoelectric fiber reinforced composites are investigated through a comprehensive parametric study.

Kaoru Yamashita - One of the best experts on this subject based on the ideXlab platform.

Lee R White - One of the best experts on this subject based on the ideXlab platform.

  • theoretical analysis of the Static Deflection of plates for atomic force microscope applications
    Journal of Applied Physics, 1993
    Co-Authors: John E Sader, Lee R White
    Abstract:

    The analysis of the Static Deflection of cantilever plates is of fundamental importance in application to the atomic force microscope (AFM). In this paper we present a detailed theoretical study of the Deflection of such cantilevers. This shall incorporate the presentation of approximate analytical methods applicable in the analysis of arbitrary cantilevers, and a discussion of their limitations and accuracies. Furthermore, we present results of a detailed finite element analysis for a current AFM cantilever, which will be of value to the users of the AFM.

H Nguyenxuan - One of the best experts on this subject based on the ideXlab platform.