Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory

Sayyad, Atteshamuddin S.; Ghugal, Yuwaraj M.

doi:10.1590/s1679-78252014000800001

Cited by 38 publications

(66 citation statements)

References 14 publications

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“…Furthermore, these characteristics have been emphasized mostly by the use of composite materials, such as laminated composites, in order to obtain the best engineering properties with respect to conventional materials. Several applications in literature [64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80] have demonstrated the advantages that can be obtained in many dynamic problems, based especially on the free vibration analysis of beams, plates and shells. However, the heterogeneity of the material properties that characterizes the laminate and the shear stresses between the laminae can cause the phenomenon of the delamination.…”

Section: Introductionmentioning

confidence: 99%

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Tornabene

Fantuzzi

Bacciocchi

et al. 2015

Composites Part B: Engineering

110

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Section: Introductionmentioning

confidence: 99%

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Tornabene

Fantuzzi

Bacciocchi

et al. 2015

Composites Part B: Engineering

110

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“…It shows that the natural frequency is less than that found without loading because the stiffness reduction. In table (8,9,11) show the results of the natural frequency under buckling for different load ratio and compared with the results obtained by numerical program ANSYS, also in table (10) show the natural frequency under load ratio (d=0.5) with effect of aspect , modulus ratio and Fig.2. shows the mode shapes of the case.…”

Section: Resultsmentioning

confidence: 99%

“…Were the analytical solved by an exact method (Levy's method). [8]. Presented an exponential shear deformation theory which extended for buckling and free vibration analysis.…”

Section: Introductionmentioning

confidence: 99%

Buckling and Pre Stressed Dynamics Analysis of Laminated Composite Plate with Different Boundary Conditions

Majeed¹

2019

alkej

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Critical buckling and natural frequencies behavior of laminated composite thin plates subjected to in-plane uniform load is obtained using classical laminated plate theory (CLPT). Analytical investigation is presented using Ritz- method for eigenvalue problems of buckling load solutions for laminated symmetric and anti-symmetric, angle and cross ply composite plate with different elastic supports along its edges. Equation of motion of the plate was derived using principle of virtual work and solved using modified Fourier displacement function that satisfies general edge conditions. Various numerical investigation were studied to exhibit a convergence and accuracy of the present solution for considering some design parameters such as edge conditions, aspect ratio, lamination angle, thickness ratio, orthotropic ratio, the results obtained gives good agreement with those published by other researchers.

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“…The first order shear deformation theory (FSDT) developed by Mindlin (1951) is also not suitable for the analysis since it does not satisfy the zero stress conditions at top and bottom surfaces of the plate and required problem dependent shear correction factors. Therefore, many five variable and six variable plate theories have been developed for the analysis of plates (Reddy, 1984;Touratier, 1991;Soldatos, 1992;Karama et al, 2009;Sayyad and Ghugal, 2012;Sayyad, 2013;Zenkour, 2006;Sayyad and Ghugal, 2013;2014a;2014b;Ghugal and Sayyad, 2010;2013a;2013b;Metin, 2009).…”

Section: Introductionmentioning

confidence: 99%

Bending, Vibration and Buckling of Laminated Composite Plates Using a Simple Four Variable Plate Theory

Sayyad

Shinde

Ghugal³

2016

Lat. Am. j. solids struct.

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In the present study, a simple trigonometric shear deformation theory is applied for the bending, buckling and free vibration of crossply laminated composite plates. The theory involves four unknown variables which are five in first order shear deformation theory or any other higher order theories. The in-plane displacement field uses sinusoidal function in terms of thickness co-ordinate to include the shear deformation effect. The transverse displacement includes bending and shear components. The present theory satisfies the zero shear stress conditions at top and bottom surfaces of plates without using shear correction factor. Equations of motion associated with the present theory are obtained using the dynamic version of virtual work principle. A closed form solution is obtained using double trigonometric series suggested by Navier. The displacements, stresses, critical buckling loads and natural frequencies obtained using present theory are compared with previously published results and found to agree well with those.

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Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory

Cited by 38 publications

References 14 publications

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Buckling and Pre Stressed Dynamics Analysis of Laminated Composite Plate with Different Boundary Conditions

Bending, Vibration and Buckling of Laminated Composite Plates Using a Simple Four Variable Plate Theory

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