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A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges

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A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges. / Ye, J Q .
In: Computer Methods in Applied Mechanics and Engineering, Vol. 140, No. 3-4, 30.01.1997, p. 383-392.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Ye, JQ 1997, 'A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges', Computer Methods in Applied Mechanics and Engineering, vol. 140, no. 3-4, pp. 383-392. https://doi.org/10.1016/S0045-7825(96)01112-7

APA

Ye, J. Q. (1997). A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges. Computer Methods in Applied Mechanics and Engineering, 140(3-4), 383-392. https://doi.org/10.1016/S0045-7825(96)01112-7

Vancouver

Ye JQ. A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges. Computer Methods in Applied Mechanics and Engineering. 1997 Jan 30;140(3-4):383-392. doi: 10.1016/S0045-7825(96)01112-7

Author

Ye, J Q . / A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges. In: Computer Methods in Applied Mechanics and Engineering. 1997 ; Vol. 140, No. 3-4. pp. 383-392.

Bibtex

@article{49d7478dcf3b468fbfe7d1fca66da4fc,
title = "A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges",
abstract = "On the basis of three-dimensional elasticity, this paper presents a free vibration analysis of cross-ply laminated rectangular plates with clamped boundaries. The analysis is based on a recursive solution suitable for three-dimensional vibration analysis of simply supported plates. Clamped boundary conditions are imposed by suppressing the edge displacements of a number of planes which are parallel to the mid-plane. This is achieved by coupling a number of different vibration modes of the corresponding simply supported plate using a Lagrange multiplier method. A satisfactory solution can be obtained by choosing suitably larger numbers of the coupled vibration modes and the fixed planes across the thickness of the plate. Numerical results are presented to show the convergence of the solution. Results are also obtained for either isotropic or cross-ply laminated plates having different combinations of simply supported and clamped boundaries.",
author = "Ye, {J Q}",
year = "1997",
month = jan,
day = "30",
doi = "10.1016/S0045-7825(96)01112-7",
language = "English",
volume = "140",
pages = "383--392",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "3-4",

}

RIS

TY - JOUR

T1 - A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges

AU - Ye, J Q

PY - 1997/1/30

Y1 - 1997/1/30

N2 - On the basis of three-dimensional elasticity, this paper presents a free vibration analysis of cross-ply laminated rectangular plates with clamped boundaries. The analysis is based on a recursive solution suitable for three-dimensional vibration analysis of simply supported plates. Clamped boundary conditions are imposed by suppressing the edge displacements of a number of planes which are parallel to the mid-plane. This is achieved by coupling a number of different vibration modes of the corresponding simply supported plate using a Lagrange multiplier method. A satisfactory solution can be obtained by choosing suitably larger numbers of the coupled vibration modes and the fixed planes across the thickness of the plate. Numerical results are presented to show the convergence of the solution. Results are also obtained for either isotropic or cross-ply laminated plates having different combinations of simply supported and clamped boundaries.

AB - On the basis of three-dimensional elasticity, this paper presents a free vibration analysis of cross-ply laminated rectangular plates with clamped boundaries. The analysis is based on a recursive solution suitable for three-dimensional vibration analysis of simply supported plates. Clamped boundary conditions are imposed by suppressing the edge displacements of a number of planes which are parallel to the mid-plane. This is achieved by coupling a number of different vibration modes of the corresponding simply supported plate using a Lagrange multiplier method. A satisfactory solution can be obtained by choosing suitably larger numbers of the coupled vibration modes and the fixed planes across the thickness of the plate. Numerical results are presented to show the convergence of the solution. Results are also obtained for either isotropic or cross-ply laminated plates having different combinations of simply supported and clamped boundaries.

U2 - 10.1016/S0045-7825(96)01112-7

DO - 10.1016/S0045-7825(96)01112-7

M3 - Journal article

VL - 140

SP - 383

EP - 392

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

IS - 3-4

ER -