Extension of Hencky bar-net model for vibration analysis of rectangular plates with rectangular cutouts

Y. P. Zhang; C. M. Wang; D. M. Pedroso; H. Zhang

doi:10.1016/j.jsv.2018.06.029

Extension of Hencky bar-net model for vibration analysis of rectangular plates with rectangular cutouts

Y. P. Zhang, C. M. Wang^*, D. M. Pedroso, H. Zhang

^*Corresponding author for this work

University of Queensland

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

Comprising rigid bars and spring systems at the joints and in the cells, the Hencky bar-net model (HBM) has been shown to be a physical structural representation of the finite difference plate model (FDM). In this paper, the HBM is extended for the vibration analysis of rectangular plates with rectangular cutouts. This extension addresses the rotationally elastic and transverse spring stiffnesses for the HBM at the cutout corners. After verifying the HBM model by comparing the vibration results with existing solutions for some plate problems, the model is used to obtain some new free vibration solutions for plates having various boundary conditions including cracked corners modelled by free small rectangular cutouts.

Original language	English
Pages (from-to)	65-87
Number of pages	23
Journal	Journal of Sound and Vibration
Volume	432
DOIs	https://doi.org/10.1016/j.jsv.2018.06.029
Publication status	Published - 13 Oct 2018
Externally published	Yes

Keywords

Boundary conditions
Cracked corners
Hencky bar-net
Perforated plate
Vibration

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10.1016/j.jsv.2018.06.029

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title = "Extension of Hencky bar-net model for vibration analysis of rectangular plates with rectangular cutouts",

abstract = "Comprising rigid bars and spring systems at the joints and in the cells, the Hencky bar-net model (HBM) has been shown to be a physical structural representation of the finite difference plate model (FDM). In this paper, the HBM is extended for the vibration analysis of rectangular plates with rectangular cutouts. This extension addresses the rotationally elastic and transverse spring stiffnesses for the HBM at the cutout corners. After verifying the HBM model by comparing the vibration results with existing solutions for some plate problems, the model is used to obtain some new free vibration solutions for plates having various boundary conditions including cracked corners modelled by free small rectangular cutouts.",

keywords = "Boundary conditions, Cracked corners, Hencky bar-net, Perforated plate, Vibration",

author = "Zhang, {Y. P.} and Wang, {C. M.} and Pedroso, {D. M.} and H. Zhang",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

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day = "13",

doi = "10.1016/j.jsv.2018.06.029",

language = "English",

volume = "432",

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journal = "Journal of Sound and Vibration",

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AU - Zhang, Y. P.

AU - Wang, C. M.

AU - Pedroso, D. M.

AU - Zhang, H.

PY - 2018/10/13

Y1 - 2018/10/13

N2 - Comprising rigid bars and spring systems at the joints and in the cells, the Hencky bar-net model (HBM) has been shown to be a physical structural representation of the finite difference plate model (FDM). In this paper, the HBM is extended for the vibration analysis of rectangular plates with rectangular cutouts. This extension addresses the rotationally elastic and transverse spring stiffnesses for the HBM at the cutout corners. After verifying the HBM model by comparing the vibration results with existing solutions for some plate problems, the model is used to obtain some new free vibration solutions for plates having various boundary conditions including cracked corners modelled by free small rectangular cutouts.

AB - Comprising rigid bars and spring systems at the joints and in the cells, the Hencky bar-net model (HBM) has been shown to be a physical structural representation of the finite difference plate model (FDM). In this paper, the HBM is extended for the vibration analysis of rectangular plates with rectangular cutouts. This extension addresses the rotationally elastic and transverse spring stiffnesses for the HBM at the cutout corners. After verifying the HBM model by comparing the vibration results with existing solutions for some plate problems, the model is used to obtain some new free vibration solutions for plates having various boundary conditions including cracked corners modelled by free small rectangular cutouts.

KW - Boundary conditions

KW - Cracked corners

KW - Hencky bar-net

KW - Perforated plate

KW - Vibration

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DO - 10.1016/j.jsv.2018.06.029

M3 - Article

AN - SCOPUS:85048729245

SN - 0022-460X

VL - 432

SP - 65

EP - 87

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

Extension of Hencky bar-net model for vibration analysis of rectangular plates with rectangular cutouts

Abstract

Keywords

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