Rotary Inertia

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Siak Piang Lim - One of the best experts on this subject based on the ideXlab platform.

Heow Pueh Lee - One of the best experts on this subject based on the ideXlab platform.

S.t. Chow - One of the best experts on this subject based on the ideXlab platform.

  • Effect of transverse shear deformation and Rotary Inertia on the natural frequencies of rectangular plates with cutouts
    International Journal of Solids and Structures, 1992
    Co-Authors: Heow Pueh Lee, Siak Piang Lim, S.t. Chow
    Abstract:

    Abstract A numerical method based on the Rayleigh principle is applied in conjunction with the simplified Reissner-Mindlin theory which involves only a single variable, the transverse displacement, for predicting the fundamental frequencies of rectangular plates with rectangular cutouts. The predicted results are compared with the finite elements results and the reported works available in the literature. It is concluded that the effect of Rotary Inertia can only be neglected for orthotropic plates with high degrees of orthotropy. For isotropic plates, the effect of Rotary Inertia becomes more pronounced with respect to the effect of transverse shear deformation with increased cutout size.

Vebil Yıldırım - One of the best experts on this subject based on the ideXlab platform.

  • Common effects of the Rotary Inertia and shear deformation on the out-of-plane natural frequencies of composite circular bars
    Composites Part B: Engineering, 2001
    Co-Authors: Vebil Yıldırım
    Abstract:

    Abstract A numerical study is performed to investigate the common effects of the Rotary Inertia and shear deformation on the first six out-of-plane free vibration frequencies of symmetric cross-ply laminated circular bars with the help of the transfer matrix method. The distributed parameter model is employed in the free vibration analysis of the vibrating system. The overall transfer matrix is computed up to any desired accuracy using the effective numerical algorithm available in the literature. The first order shear deformation theory called as Timoshenko model is included in the analysis. For the opening angle α =90°, the effects of the Rotary Inertia and shear deformation are examined and presented in graphical forms considering boundary conditions (clamped–free, clamped–simple and clamped–clamped), and the slenderness ratios ( R / h =radius of the arch/thickness of the rectangular section=5–25). The effects of the ratio of the extensional modulus to the transverse modulus on the natural frequencies are also examined.

  • Investigation of the Rotary Inertia and shear deformation effects on the out-of-plane bending and torsional natural frequencies of laminated beams
    Composite Structures, 2000
    Co-Authors: Vebil Yıldırım, Erhan Kiral
    Abstract:

    Abstract The out-of-plane free vibration problem of symmetric cross-ply laminated beams is studied by the transfer matrix method. The distributed parameter model is used for predicting the natural frequencies. The Rotary Inertia and shear deformation effects are considered in the Timoshenko beam analysis based on the first-order shear deformation theory. For the Bernoulli–Euler beam analysis, these effects are neglected to study the effects of shear deformation and Rotary Inertia on the first six natural frequencies. The numerical algorithm available in the literature is used to compute the exact overall dynamic transfer matrix. The effects of the Rotary Inertia and shear deformation are investigated for length/thickness ratios from 3 to 20, fixed–fixed, fixed–simple and fixed–free boundary conditions, and two values of the thickness/width ratios of rectangular section (2, 0.5). The results obtained by the Bernoulli–Euler and Timoshenko beam theories and relative errors between the two theories are presented in graphical form.

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