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2 International Journal of Applied Mechanics and Engineering

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A sub-parametric shear deformable element for free vibration analysis of thick/thin rectangular plates with tapered thickness

100%

Manna M. C.

2006

tom Vol. 11, no 4

901-913

A sub-parametric shear deformable element is proposed for free vibration analysis of isotropic plates with linearly varying thickness in one direction. The element has sixteen nodes and thirty-six degrees of freedom. The transverse displacement and bending rotations are taken as independent field variables. The polynomials used to express these variables are of the same order. The geometry of the element is defined by a polynomial of lower order than the polynomials used for field variables. The entire formulation is made based on first-order shear deformation theory (FSDT). The rotary inertia is included in the consistent mass matrix for the analysis. Isotropic plates with different thickness ratios (varying from 0.01 to 0.2), tapered ratios, aspect ratios and boundary conditions are analyzed. The results obtained by the present element show an excellent agreement with the available published results. Some numerical results have been given as new results.

Vibration of thick/thin skewed taper cylindrical shell panel

67%

Haldar S. , Majumder A.

2011

tom Vol. 16, no 3

649-660

In this paper, a nine node isoparametric plate bending element is used for free vibration analysis of isotropic skewed taper cylindrical shell panels. The thickness of panels varies linearly in one direction only. In the present analysis first order shear deformation theory is incorporated. Two types of mass lumping schemes are recommended. In one of the mass lumping schemes the effect of rotary inertia is incorporated. Free vibration of skewed taper cylindrical shell panels having different shell thickness to radius (h/R) ratios, length to radius ratios (L/R), skew angles and different boundary conditions are analyzed following the shallow shell theory.