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1
Content available Membrane versus bending components of transverse forces in cylindrical panels in the CST and the FSDT
Kołakowski Zbigniew, Jankowski Jacek
Journal of Theoretical and Applied Mechanics
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2022
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Vol. 60 nr 4
603--617
EN
A nonlinear problem of deflection of isotropic cylindrical panels fixed along all edges and subject to transverse load was considered within the first-order shear deformation theory (FSDT) and the classical shell theory (CST). An effect of the parameter of curvature on bending and membrane components and resultants of transverse forces was analyzed. Par- ticular attention was drawn to the fact that the bending components were accompanied by transverse deformations, whereas for the membrane components, the panel was transversely perfectly rigid. Resultants of transverse forces can be significantly larger than the bending components. In failure criteria of laminated structures, only the bending transverse forces are employed.
2
Content available Free Vibration Analysis of A357 Alloy Reinforced with Dual Particle Size Silicon Carbide Metal Matrix Composite Plates Using Finite Element Method
Lakshmikanthan A., Mahesh V., Prabhu R. T., Patel M. G. C., Bontha S.
Archives of Foundry Engineering
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2021
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Vol. 21, iss. 1
101--112
EN
In this work, the free vibration behaviour of A357 composite plate reinforced with dual particle size (DPS) (3 wt.% coarse + 3 wt.% fine, 4 wt.% coarse + 2 wt.% fine, and 2 wt.% coarse + 4 wt.% fine) SiC is evaluated using the finite element method. To this end, first-order shear deformation theory (FSDT) has been used. The equations of motion have been derived using Hamilton’s principle and the solution has been obtained through condensation technique. A thorough parametric study was conducted to understand the effect of reinforcement size and weight fraction, boundary conditions, aspect ratio and length-to-width ratio of plate geometry on natural frequencies of A357/DPS-SiC composite plates. Results reveal significant influence of all the above variables on natural frequency of the composite plates. In all the cases, A357 composite plate reinforced with 4 wt.% coarse and 2 wt.% fine SiC particles displayed the highest natural frequency owing to its higher elastic and rigidity modulus. Further, the natural frequencies increase with decrease in aspect ratio of the plate geometry. Natural frequency also decreases with increase in the number of free edges. Lastly, increasing the length-to-width ratio drastically improves the natural frequency of the plates.
3
Content available An analytical study on buckling behavior of CNT/polymer composite plates using the first order shear deformation theory
Peyyala P. K., Subba Rao V. V.
Journal of Theoretical and Applied Mechanics
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2018
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Vol. 56 nr 1
71--79
EN
Most plates used in engineering structures such as aircraft wings, ship ducts and buildings, although quite capable of resisting tensile loads, are poor in withstanding compression. In order to avoid premature failure under compression, it is important to know buckling behavior of the plate. This article primarily deals with the analytical study of buckling behavior of a carbon nanotube reinforcing polymer composite plates based on the first order shear deformation theory by employing Mori-Tanaka micromechanics approach to obtain elastic properties. In this investigation, an attempt is made for evaluating the effect of plate thickness, CNT volume fraction, stacking sequence and CNT radii on the buckling of plates.
4
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%.
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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