Vibrations of thin rectangular plates with arbitrarily oriented stiffeners

Shastry, B.P.; Rao, G. Venkateswara

doi:10.1016/0045-7949(77)90005-0

Cited by 22 publications

(5 citation statements)

References 2 publications

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“…The present results agree well with the result obtained by Shastry and Rao [16]. However the frequencies obtained by Paramasivam and Rao are less compared to the present investigation.…”

Section: Vibration Studies Of Stiffened Plates 431 Convergence Andsupporting

confidence: 92%

“…Numerical results obtained by the finite element method have been reported by Ali and Atwal [1], Shastry and Rao [16], Reddy [14] and Laura et al [5]. Ali and Atwal [1] studied the natural frequencies of simply supported rectangular plates and rectangular cutouts using the Rayleigh-Ritz method.…”

Section: Introductionmentioning

confidence: 94%

“…Free vibration analysis of a square plate with centrally stiffened opening (Fig. 8) analyzed by Paramasivam and Rao by grid framework model and Shastry and Rao [16] by finite element model is carried out and presented in Table 5 in the form of fundamental frequency parameter for simply supported and clamped square plate. The parameter E S I S /DL is taken as 10, where, E S is the Young's modulus of the stiffener material, I S is the moment of inertia of the stiffener and D is the plate flexural rigidity.…”

Section: Vibration Studies Of Stiffened Plates 431 Convergence Andmentioning

confidence: 99%

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Transverse Vibration of Stiffened Plates with Cutouts Subjected to In‐Plane Uniform Edge Loading at the Plate Boundary

Srivastava

Datta

Sheikh

2002

Shock and Vibration

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Vibration characteristics of stiffened plates with cutouts subjected to uni-axial in-plane uniform edge loading at the plate boundaries are investigated using the finite element method. The characteristic equations for the natural frequencies, buckling loads and their corresponding mode shapes are obtained from the equation of motion. The vibration frequencies and buckling load parameters for various modes of stiffened plates with cutouts have been determined for simply supported and clamped edge boundary conditions. In the structure modelling, the plate and the stiffeners are treated as separate elements where the compatibility between these two types of elements is maintained. Numerical results are presented for a range of hole to plate width ratios of 0 to 0.8. The correlations of the natural frequencies and buckling parameters obtained by the present approach with those available in the literature are found to show good agreement.

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“…The present results agree well with the result obtained by Shastry and Rao [16]. However the frequencies obtained by Paramasivam and Rao are less compared to the present investigation.…”

Section: Vibration Studies Of Stiffened Plates 431 Convergence Andsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 94%

Section: Vibration Studies Of Stiffened Plates 431 Convergence Andmentioning

confidence: 99%

See 1 more Smart Citation

Transverse Vibration of Stiffened Plates with Cutouts Subjected to In‐Plane Uniform Edge Loading at the Plate Boundary

Srivastava

Datta

Sheikh

2002

Shock and Vibration

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“…The present results agree well with the result obtained by Shastry and Rao (1977) and by Paramasivam and Rao (1973). Torsional rigidity of the stiffeners and the effect of lateral deformation have been neglected.…”

Section: 1supporting

confidence: 83%

“…The orthogonal polynomials are generated along both x and y directions. A free vibration analysis of a square plate with centrally stiffened opening analyzed by Paramasivam and Rao (1973) by the grid framework model and Shastry and Rao (1977) by the finite element model is carried out and presented in Tab.4 in the form of the fundamental frequency parameter  for simply supported and clamped square plate. The parameter E S I S / DL is taken as 10, where, E S is Young's modulus of the stiffener material, I S is the moment of inertia of the stiffener and D is the plate flexural rigidity.…”

Section: 1mentioning

confidence: 99%

Dynamical Analysis of Stiffened Plates under Patch Loading

Srivastava¹,

Pandey

Kumar

2013

International Journal of Applied Mechanics and Engineering

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The vibration characteristics of stiffened plates with cutouts subjected to in-plane partial edge loadings at one end at the plate boundaries are studied using the finite element method. Buckling loads and vibration frequencies are determined for different cutout ratios and extent of partial edge loading at one end. In the structural modelling, the plate and the stiffeners are treated as separate elements where the compatibility between these two types of elements is maintained. The main elegance of the formulation lies in the treatment of the stiffeners. The stiffeners can be placed anywhere within the plate element, and need not be placed on the nodal lines. The vibration characteristics are discussed and the results are compared with those available in the literature. Numerical results are presented for a range of cutout to plate size from 0 to 0.8.

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Vibration of stiffened annular sector plates using the spline element method

Mizusawa

1992

Arch. Appl. Mech.

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Vibrations of thin rectangular plates with arbitrarily oriented stiffeners

Cited by 22 publications

References 2 publications

Transverse Vibration of Stiffened Plates with Cutouts Subjected to In‐Plane Uniform Edge Loading at the Plate Boundary

Transverse Vibration of Stiffened Plates with Cutouts Subjected to In‐Plane Uniform Edge Loading at the Plate Boundary

Dynamical Analysis of Stiffened Plates under Patch Loading

Vibration of stiffened annular sector plates using the spline element method

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