The Effects of Plate-Support Condition on Buckling Strength of Rectangular Perforated Plates under Linearly Varying In-Plane Normal Load
— Mechanical buckling analysis of rectangular plates with central circular cutout is performed in this paper. The finite-element method is used to study the effects of plate-support conditions, aspect ratio, and hole size on the mechanical buckling strength of the perforated plates subjected to linearly varying loading. Results show that increasing the hole size does not necessarily reduce the mechanical buckling strength of the perforated plates. It is also concluded that the clamped boundary condition increases the mechanical buckling strength of the perforated plates more than the simply-supported boundary condition and the free boundary conditions enhance the mechanical buckling strength of the perforated plates more effectively than the fixed boundary conditions. Furthermore, for the bending cases, the critical buckling load of perforated plates with free edges is less than perforated plates with fixed edges.
Eigen Value Buckling Analysis of Thin FRP cross Ply 4-Layered Hexagonal Cut on Rectangular Laminated Composites
The present research work is to evaluate the buckling load of thin FRP symmetric cross ply rectangular laminates (00/900/900/00) with hexagonal cut out, which is subjected to uniaxial compression using finite-element method software ANSYS. The analysis is done using ANSYS 12.0. The buckling load is evaluated by changing the parameters such as hole orientation (β), aspect ratio (a/b), thickness ratio (S), number of layers (N) and boundary conditions. The effects of these five parameters are studied on buckling load. The result shows that the buckling load is more at β =600 and minimum at β = 300, decreases with the increase in an aspect ratio (a/b), decreases with an increase in the thickness ratio (S), increases from N=4 to N= 12 and remains constant up to N=20 and finally more in clamped-clamped (C-C) boundary condition when compared to clamped-simply supported (C-S) and simply-supported simply-supported (S-S) boundary conditions.
The free vibration of rectangular plates
This work attempts to present comprehensive and accurate analytical results for the free vibration of rectangular plates. Twenty-one cases exist which involve the possible combinations of clamped, simply-supported, and free edge conditions. Exact characteristic equations are given for the six cases having two opposite sides simply-supported. The existence of solutions to the various characteristic equations is carefully delineated. The Ritz method is employed with 36 terms containing the products of beam functions to analyze the remaining 15 cases. Accurate frequency parameters are presented for a range of aspect ratios (a/b = 0·4, 2/3, 1·0, 1·5, and 2·5) for each case. For the last 15 cases, comparisons are made with Warburton's useful, approximate formulas. The effects of changing Poisson's ratio are studied.