The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution

G. W. Wei; Y. B. Zhao; Yang Xiang

doi:10.1016/S0020-7403(01)00021-2

The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution

G. W. Wei
, Y. B. Zhao
, Yang Xiang

School of Engineering, Design & Built Environment

Research output: Contribution to journal › Article

178 Citations (Scopus)

Abstract

This paper introduces the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions. A unified scheme is proposed for the treatment of simply supported, clamped and transversely supported (with nonuniform elastic rotational restraint) boundary conditions. The robustness and reliability of the present approach are tested by a number of numerical experiments. All results agree well with those in the literature.

Original language	English
Number of pages	16
Journal	International Journal of Mechanical Sciences
DOIs	https://doi.org/10.1016/S0020-7403(01)00021-2
Publication status	Published - 2001

Keywords

discrete singular convolution
mixed boundary condition
non-uniform boundary condition
plates (engineering)
rectangular plates
vibration

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10.1016/S0020-7403(01)00021-2

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@article{44e8d64783d740b19a3d641ab08c5bf4,

title = "The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution",

abstract = "This paper introduces the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions. A unified scheme is proposed for the treatment of simply supported, clamped and transversely supported (with nonuniform elastic rotational restraint) boundary conditions. The robustness and reliability of the present approach are tested by a number of numerical experiments. All results agree well with those in the literature.",

keywords = "discrete singular convolution, mixed boundary condition, non-uniform boundary condition, plates (engineering), rectangular plates, vibration",

author = "Wei, \{G. W.\} and Zhao, \{Y. B.\} and Yang Xiang",

year = "2001",

doi = "10.1016/S0020-7403(01)00021-2",

language = "English",

journal = "International Journal of Mechanical Sciences",

issn = "0020-7403",

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T1 - The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution

AU - Wei, G. W.

AU - Zhao, Y. B.

AU - Xiang, Yang

PY - 2001

Y1 - 2001

N2 - This paper introduces the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions. A unified scheme is proposed for the treatment of simply supported, clamped and transversely supported (with nonuniform elastic rotational restraint) boundary conditions. The robustness and reliability of the present approach are tested by a number of numerical experiments. All results agree well with those in the literature.

AB - This paper introduces the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions. A unified scheme is proposed for the treatment of simply supported, clamped and transversely supported (with nonuniform elastic rotational restraint) boundary conditions. The robustness and reliability of the present approach are tested by a number of numerical experiments. All results agree well with those in the literature.

KW - discrete singular convolution

KW - mixed boundary condition

KW - non-uniform boundary condition

KW - plates (engineering)

KW - rectangular plates

KW - vibration

UR - http://hdl.handle.net/1959.7/uws:928

U2 - 10.1016/S0020-7403(01)00021-2

DO - 10.1016/S0020-7403(01)00021-2

M3 - Article

SN - 0020-7403

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

ER -

The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution

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Keywords

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