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Exact Solutions for Axisymmetric Vibration of Laminated Circular Plates

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

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Exact Solutions for Axisymmetric Vibration of Laminated Circular Plates. / Fan, Jiarang ; Ye, Jianqiao.
In: Journal of Engineering Mechanics, Vol. 116, No. 4, 04.1990, p. 920-927.

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

Harvard

Fan, J & Ye, J 1990, 'Exact Solutions for Axisymmetric Vibration of Laminated Circular Plates', Journal of Engineering Mechanics, vol. 116, no. 4, pp. 920-927. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:4(920)

APA

Fan, J., & Ye, J. (1990). Exact Solutions for Axisymmetric Vibration of Laminated Circular Plates. Journal of Engineering Mechanics, 116(4), 920-927. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:4(920)

Vancouver

Fan J, Ye J. Exact Solutions for Axisymmetric Vibration of Laminated Circular Plates. Journal of Engineering Mechanics. 1990 Apr;116(4):920-927. doi: 10.1061/(ASCE)0733-9399(1990)116:4(920)

Author

Fan, Jiarang ; Ye, Jianqiao. / Exact Solutions for Axisymmetric Vibration of Laminated Circular Plates. In: Journal of Engineering Mechanics. 1990 ; Vol. 116, No. 4. pp. 920-927.

Bibtex

@article{45ca1df8602743d88507fc573d5be157,
title = "Exact Solutions for Axisymmetric Vibration of Laminated Circular Plates",
abstract = "Based on fundamental equations of three‐dimensional elasticity and giving up any assumptions about displacement models and stress distribution, the state equations for the axisymmetric free vibrations of transversely isotropic circular plates are established. Because the four quantities appearing in the state equations happen to be the compatibility quantities of the interfaces, it is extremely convenient to develop the state equations of laminated circular plates with transversely isotropic layers. The exact solutions for such problems with simply supported and clamped edges are presented in this paper. Every fundamental equation of three‐dimensional elasticity can be exactly satisfied and all five elastic‐flexibility constants can also be taken into account by the present method. No matter how many layers are considered, the calculation always leads to solving a set of linear algebraic equations of the second order. Numerical results are obtained and compared with the results calculated using the Reissner and Mindlin theories, respectively.",
keywords = "Isotropy, Plates , Laminates , Inertia , Shear deformation , Vibration , Three‐dimensional analysis , Elasticity",
author = "Jiarang Fan and Jianqiao Ye",
year = "1990",
month = apr,
doi = "10.1061/(ASCE)0733-9399(1990)116:4(920)",
language = "English",
volume = "116",
pages = "920--927",
journal = "Journal of Engineering Mechanics",
issn = "0733-9399",
publisher = "American Society of Civil Engineers (ASCE)",
number = "4",

}

RIS

TY - JOUR

T1 - Exact Solutions for Axisymmetric Vibration of Laminated Circular Plates

AU - Fan, Jiarang

AU - Ye, Jianqiao

PY - 1990/4

Y1 - 1990/4

N2 - Based on fundamental equations of three‐dimensional elasticity and giving up any assumptions about displacement models and stress distribution, the state equations for the axisymmetric free vibrations of transversely isotropic circular plates are established. Because the four quantities appearing in the state equations happen to be the compatibility quantities of the interfaces, it is extremely convenient to develop the state equations of laminated circular plates with transversely isotropic layers. The exact solutions for such problems with simply supported and clamped edges are presented in this paper. Every fundamental equation of three‐dimensional elasticity can be exactly satisfied and all five elastic‐flexibility constants can also be taken into account by the present method. No matter how many layers are considered, the calculation always leads to solving a set of linear algebraic equations of the second order. Numerical results are obtained and compared with the results calculated using the Reissner and Mindlin theories, respectively.

AB - Based on fundamental equations of three‐dimensional elasticity and giving up any assumptions about displacement models and stress distribution, the state equations for the axisymmetric free vibrations of transversely isotropic circular plates are established. Because the four quantities appearing in the state equations happen to be the compatibility quantities of the interfaces, it is extremely convenient to develop the state equations of laminated circular plates with transversely isotropic layers. The exact solutions for such problems with simply supported and clamped edges are presented in this paper. Every fundamental equation of three‐dimensional elasticity can be exactly satisfied and all five elastic‐flexibility constants can also be taken into account by the present method. No matter how many layers are considered, the calculation always leads to solving a set of linear algebraic equations of the second order. Numerical results are obtained and compared with the results calculated using the Reissner and Mindlin theories, respectively.

KW - Isotropy

KW - Plates

KW - Laminates

KW - Inertia

KW - Shear deformation

KW - Vibration

KW - Three‐dimensional analysis

KW - Elasticity

U2 - 10.1061/(ASCE)0733-9399(1990)116:4(920)

DO - 10.1061/(ASCE)0733-9399(1990)116:4(920)

M3 - Journal article

VL - 116

SP - 920

EP - 927

JO - Journal of Engineering Mechanics

JF - Journal of Engineering Mechanics

SN - 0733-9399

IS - 4

ER -