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3 International Journal of Applied Mechanics and Engineering

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Vibration of thick/thin skewed taper cylindrical shell panel

100%

Haldar S. , Majumder A.

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.

Static analysis of isotropic thick/thin skew plates by finite element method

80%

Haldar S. , Manna M. C. , Sheikih A. H.

2003

tom Vol. 8, no 2

245-254

A general first order shear deformation theory has been developed to analyze the bending behavior of isotropic skew plates. The plates having different skew angles ('alpha'), aspect ratios (a/b), boundary conditions and transverse loading conditions (concentrated load, uniformly distributed load, hydrostatic varying load and sinusoidal varying load) have been analyzed by the nine node isoparametric element. The analysis has also been performed considering plate thickness ratio varying from a/b=0.001 to a/b=0.02. The deflections and principal bending moments in non-dimensional forms have been presented at different locations of the plates. The present solutions have been compared with the published results wherever available and have got good agreement. Some numerical solutions have been given which may be treated as new results.

Free vibration of isotropic thick/thin plates using a sub-parametric shear deformable element

80%

Manna M. C. , Haldar S. , Sheikh A. H.

2003

tom Vol. 8, no 3

441-448

A free vibration analysis of isotropic plates is investigated in this paper. A sixteen node sub-parametric element having thirty-six degrees of freedom is developed for this purpose. 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 entire formulation is made based on the 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, aspect ratios and boundary conditions are analyzed. The results show an excellent agreement with the available published analytical results.