Investigation of buckling behavior of laminated reinforced concrete plates with central rectangular hole using finite element method (original) (raw)
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This work mainly investigates the buckling behavior of perforated plates with circular holes by using the capabilities of ABAQUS for performing linear buckling analyses. This work starts with a literature review on what has been investigated earlier with respect to buckling of rectangular plates perforated with holes. The literature review comprised analytical plate buckling theories and numerical analysis from finite Element method. The numerical model was validated by comparing the results obtained from the present analysis and those obtained from the available literature. The results have shown good agreement between the results obtained and those available in the literature. A parametric study was then performed to study the effect of size and location of the holes, the thickness of the plate and boundary conditions. The buckling behavior of rectangular plates with two holes was also considered. The perforated plates analyzed were simply supported and simply supported simply fixed free. The results of the numerical simulations have shown that the critical buckling load decreases as the hole is located near the edge of the plate. In some cases, the critical buckling loads of the perforated plates were greater or equal to those of solid plates with the same aspect ratio and thickness. The results have also shown that adding a second hole to a rectangular plate with aspect ratio a/b = 3 could increase or decrease the critical buckling load according to the size and location of the two holes.
Use of Buckling Coefficient in Predicting Buckling Load of Plates with and without Holes
Buckling, a form of failure happened to plated structures, is investigated in this study. The main focus is to investigate the effects of thickness of the plates having through-thickness holes on buckling when the plate is subjected to in-plane compression. Plates having length of 200mm and width of 100mm are chosen to have thickness in range from 0.50mm to 10mm. Two holes of diameters of 20mm are implemented in plates. The finite element procedure using ABAQUS is applied for analyses. Then using the Gerard and Becker equation compressive buckling coefficients, Kc, are calculated and presented to enable engineers to calculate buckling load for the desired plate with holes in specific dimension. In order to generalize the obtained results, verification analysis has been performed by taking plates having different dimensions from the original ones used in this study. The verification showed the capability of buckling coefficients to predict buckling stresses of plates in various dimensions.
Buckling of Rectangular Plates with Different Central Holes
2018
The behavior of thin rectangular perforated plates under the action of uniform compressive deformation is studied using finite element analysis. The central holes are either circular holes or square holes. The effects of plate-support conditions, plate aspect ratio, hole geometry, and hole size on the buckling strengths of the perforated plates was studied. The results show that for the same plate weight density, the buckling strengths of the plates with square holes generally surpass those of the plates with circular holes over the range of hole sizes.
LINEAR BUCKLING ANALYSIS OF LAMINATED COMPOSITE PLATES WITH VARIOUS CUT-OUT OPENINGS
IAEME Publication, 2020
Layers of plates are bonded together to form laminated composites. Citing ease in handling and reduced fabrication cost, laminated composites have been used in bridges, railway coaches and aircrafts. Excessive buckling and stresses have been the major reason of failure in these structures. Hence, analysis of behaviour of plates remains a major part in design. The most important design aspect for launch vehicles and aircraft is, the ability of plate to resist buckling upon application of in-plane loads. Generally, provision of holes are for the purpose of pipes and electric cables in the laminar plates. The presence of holes attracts stress concentration at plane of discontinuity i.e. the portion near holes. In addition to this, the plate stiffness also greatly reduces at this portion. Hence the buckling behaviour of plate is very important In this study, laminated composite with triangular, square and circular openings were used as a basis for analysis. In addition, the study has incorporated the effects of boundary conditions, cutout , shape and length/thickness ratio.
Buckling analyses on plates with through-thickness holes are performed in order to find the buckling coefficient which depends on the geometrical condition of individual plates such as size of holes and thickness of plates. In order to generalize the results, α is introduced. It is observed that the buckling coefficient shows nonlinear trend in terms of the coefficient α. The trend, however, is similar to each other for plates with different thickness, having plateau region in the intermediate values of alpha. The ratio of buckling coefficients of plates with holes to that of the plates without holes is revealed to be constant irrespective of the plate thickness. To verify the generality of buckling coefficients, plates with different dimensions from the original plates are analyzed. Buckling stresses by using the suggested buckling coefficients show good agreement with those obtained by numerical analyses and errors are small enough to be ignored.
2009
In this paper linear buckling analyses of square and rectangular plates with circular and rectangular holes in various positions subjected to axial compression and bending moment are developed. The aim is to give some practical indications on the best position of the circular hole and the best position and orientation of rectangular holes in steel plates, when axial compression and bending moment act together. Two different orientations are considered for rectangular holes: holes with major dimension parallel to the vertical plate axis (RS holes) and major dimension parallel to horizontal plate axis (RL holes).
KEYWORDS aspect ratio; circular holes; critical buckling load; finite element analysis; laminate stacking sequence; skew angle; skew plate with fiber orientation angle ABSTRACT This article deals with experimental and finite element studies on the buckling of isotropic and laminated composite skew plates with circular holes subjected to uniaxial compression. The influence of skew angle, fiber orientation angle, laminate stacking sequence, and aspect ratio on critical buckling load are evaluated using experimental method (using Methods I through V) and finite element method using MSC/NASTRAN. Method I yields the highest experimental value and Method IV the lowest experimental value for critical buckling load in the case of isotropic skew plates with circular holes. For all laminate stacking sequences considered, Method V yields the highest experimental value for critical buckling load for skew angle = 0°a nd Method IV yields the highest experimental value for critical buckling load for skew angles = 15°and 30°. For all laminate stacking sequences and skew angles considered, Method II yields the lowest experimental value for critical buckling load. The maximum discrepancy between the experimental values given by Method IV and the finite element solution is about 10% in the case of isotropic skew plates. The maximum discrepancy between the experimental values given by Method II and the finite element solution is about 21% in the case of laminated composite skew plates considered. The percentage of discrepancy between the numerical or finite element solution and experimental value increases as the skew angle increases. The critical buckling load decreases as the aspect ratio increases.
Buckling Analysis of Thin Laminated Composite Plates using Finite Element Method modified 2
Publication Impact Factor (PIF): 1.0 Downloaded @ www.sretechjournal.org Abstract Finite element method (FEM) is utilized to obtain numerical solution of the governing differential equations. Buckling analysis of rectangular laminated plates with rectangular cross – section for various combinations of boundary conditions and aspect ratios is studied. To verify the accuracy of the present technique, buckling loads are evaluated and validated with other works available in the literature. The good agreement with other available data demonstrates the reliability of finite element method used. New numerical results are generated for uniaxial and biaxial compression loading of symmetrically laminated composite plates; they are focused on the significant effects of buckling for various parameters such as boundary condition, aspect ratio and modular ratio. It was found that the effect of boundary conditions on buckling load increases as the aspect ratio increases for both uniaxial and biaxial compression loading. It was also found that, the variation of buckling load with aspect ratio becomes almost constant for higher values of elastic modulus ratio.
Validation of Finite Element Method in the Analysis of Biaxial Buckling of Thin Laminated Plates
Finite element (FE) method is presented for the analysis of thin rectangular laminated composite plates under the biaxial action of in – plane compressive loading. The analysis uses the classical laminated plate theory (CLPT) which does not account for shear deformations. In this theory it is assumed that the laminate is in a state of plane stress, the individual lamina is linearly elastic, and there is perfect bonding between layers. The classical laminated plate theory (CLPT), which is an extension of the classical plate theory (CPT) assumes that normal to the mid – surface before deformation remains straight and normal to the mid – surface after deformation. Therefore, this theory is only adequate for buckling analysis of thin laminates. A Fortran program has been compiled. The convergence and accuracy of the FE solutions for biaxial buckling of thin laminated rectangular plates are established by comparison with various theoretical and experimental solutions. The good agreement of comparisons demonstrates the reliability of finite element methods used.
Linear buckling analysis of perforated plates subjected to localised symmetrical load
Engineering Structures, 2008
Holes are often unavoidable in webs of steel beams and in plates, due to inspection, maintenance and also aesthetic purposes. In these situations, the presence of holes may cause redistribution of plane stresses in plates with a significant reduction of stability. In this paper, linear buckling analyses of perforated plates subjected to localised symmetrical load, with circular and rectangular holes,