Application of a refined non-conforming quadrilateral plate bending element in thin plate vibration and stability analysis

Y. K. Cheung; Y. X. Zhang; Chen Wanji

doi:10.1016/S0168-874X(99)00037-2

Application of a refined non-conforming quadrilateral plate bending element in thin plate vibration and stability analysis

Y. K. Cheung, Y. X. Zhang, Chen Wanji

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

18 Citations (Scopus)

Abstract

In this paper, the refined non-conforming quadrilateral thin plate element RPQ4 is used to analyze the vibration and stability problems of thin plates. For vibration analysis, a modified mass matrix is formulated to calculate the natural frequencies and in the same way, a modified geometric stiffness matrix is formed to calculate the critical load in the stability analysis of thin plates. The numerical results have demonstrated that the modified mass matrix and modified geometric stiffness matrix are efficient in improving the accuracy of natural frequency in the free vibration analysis and critical load of buckling in the analysis of stability of thin plates.

Original language	English
Pages (from-to)	175-191
Number of pages	17
Journal	Finite Elem Anal Des
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/S0168-874X(99)00037-2
Publication status	Published - 1 Feb 2000
Externally published	Yes

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10.1016/S0168-874X(99)00037-2

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title = "Application of a refined non-conforming quadrilateral plate bending element in thin plate vibration and stability analysis",

abstract = "In this paper, the refined non-conforming quadrilateral thin plate element RPQ4 is used to analyze the vibration and stability problems of thin plates. For vibration analysis, a modified mass matrix is formulated to calculate the natural frequencies and in the same way, a modified geometric stiffness matrix is formed to calculate the critical load in the stability analysis of thin plates. The numerical results have demonstrated that the modified mass matrix and modified geometric stiffness matrix are efficient in improving the accuracy of natural frequency in the free vibration analysis and critical load of buckling in the analysis of stability of thin plates.",

author = "Cheung, {Y. K.} and Zhang, {Y. X.} and Chen Wanji",

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AU - Cheung, Y. K.

AU - Zhang, Y. X.

AU - Wanji, Chen

PY - 2000/2/1

Y1 - 2000/2/1

N2 - In this paper, the refined non-conforming quadrilateral thin plate element RPQ4 is used to analyze the vibration and stability problems of thin plates. For vibration analysis, a modified mass matrix is formulated to calculate the natural frequencies and in the same way, a modified geometric stiffness matrix is formed to calculate the critical load in the stability analysis of thin plates. The numerical results have demonstrated that the modified mass matrix and modified geometric stiffness matrix are efficient in improving the accuracy of natural frequency in the free vibration analysis and critical load of buckling in the analysis of stability of thin plates.

AB - In this paper, the refined non-conforming quadrilateral thin plate element RPQ4 is used to analyze the vibration and stability problems of thin plates. For vibration analysis, a modified mass matrix is formulated to calculate the natural frequencies and in the same way, a modified geometric stiffness matrix is formed to calculate the critical load in the stability analysis of thin plates. The numerical results have demonstrated that the modified mass matrix and modified geometric stiffness matrix are efficient in improving the accuracy of natural frequency in the free vibration analysis and critical load of buckling in the analysis of stability of thin plates.

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U2 - 10.1016/S0168-874X(99)00037-2

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JO - Finite Elem Anal Des

JF - Finite Elem Anal Des

IS - 2

ER -

Application of a refined non-conforming quadrilateral plate bending element in thin plate vibration and stability analysis

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