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Content available remote Parametric Study on Thick Plate Vibration Using FSDT
Kalita K., Haldar S.
Mechanics and Mechanical Engineering
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2015
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Vol. 19, nr 2
81--90
EN
The prime objective of the research is to investigate the influence of various structural parameters like aspect ratio, boundary condition, size of cut-out etc. on the free vibration frequencies of a thick rectangular plate. Plates being one the most common structural elements has always enticed the interest of many researchers towards this problem. In here a general first order shear deformation theory (FSDT) is used to analyse the free vibration behaviour of rectangular isotropic plates. A finite element program has been developed using 9 node isoparametric element. A number of numerical examples are presented here. Two different sets of mass lumping scheme are considered to carry the analysis using and without using rotary inertia. The definite advantage of this work over other similar works done by using FEM pakages is its exceptional accuracy. At most the error calculated for convergence study with published literature is 1%.
2
Content available remote Vibration of thick/thin skewed taper cylindrical shell panel
Haldar S., Majumder A.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 3
649-660
EN
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.
3
Content available remote Static analysis of isotropic thick/thin skew plates by finite element method
Haldar S., Manna M. C., Sheikih A. H.
International Journal of Applied Mechanics and Engineering
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2003
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Vol. 8, no 2
245-254
EN
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.
4
Content available remote Free vibration of isotropic thick/thin plates using a sub-parametric shear deformable element
Manna M. C., Haldar S., Sheikh A. H.
International Journal of Applied Mechanics and Engineering
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2003
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Vol. 8, no 3
441-448
EN
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.
5
Content available remote Bending analysis of isotropic plates using a sixteen-noded sub-parametric element
Manna M. C., Haldar S., Bhattacharya A. K.
International Journal of Applied Mechanics and Engineering
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2002
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Vol. 7, no 4
1279-1290
EN
Static analysis of isotropic plates under uniformly distributed and point loading is investigated in this paper. A sixteen noded sub-parametric element having fifty-two degrees of freedom is developed for this purpose. The first order shear deformation theory (FSDT) has been used in the entire analysis. The transverse and in-plane displacements and bending rotations are taken as independent field variables and the polynomials used to express these variables are of different orders.
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