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State space solution for thick laminated piezoelectric plates with clamped and electric open-circuited boundary conditions

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State space solution for thick laminated piezoelectric plates with clamped and electric open-circuited boundary conditions. / Sheng, H. Y.; Wang, H.; Ye, J. Q.
In: International Journal of Mechanical Sciences, Vol. 49, No. 7, 09.2007, p. 806-818.

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

Harvard

Sheng, HY, Wang, H & Ye, JQ 2007, 'State space solution for thick laminated piezoelectric plates with clamped and electric open-circuited boundary conditions', International Journal of Mechanical Sciences, vol. 49, no. 7, pp. 806-818. https://doi.org/10.1016/j.ijmecsci.2006.11.012

APA

Sheng, H. Y., Wang, H., & Ye, J. Q. (2007). State space solution for thick laminated piezoelectric plates with clamped and electric open-circuited boundary conditions. International Journal of Mechanical Sciences, 49(7), 806-818. https://doi.org/10.1016/j.ijmecsci.2006.11.012

Vancouver

Sheng HY, Wang H, Ye JQ. State space solution for thick laminated piezoelectric plates with clamped and electric open-circuited boundary conditions. International Journal of Mechanical Sciences. 2007 Sept;49(7):806-818. doi: 10.1016/j.ijmecsci.2006.11.012

Author

Sheng, H. Y. ; Wang, H. ; Ye, J. Q. / State space solution for thick laminated piezoelectric plates with clamped and electric open-circuited boundary conditions. In: International Journal of Mechanical Sciences. 2007 ; Vol. 49, No. 7. pp. 806-818.

Bibtex

@article{96ee3a906d96479f9b9641c6cb7feb71,
title = "State space solution for thick laminated piezoelectric plates with clamped and electric open-circuited boundary conditions",
abstract = "Based on the theories of 3-D elasticity and piezoelectricity and by assuming appropriate boundary functions, the state equation for laminated piezoelectric plate is established. By using the transfer matrix and recursive solution approach, an analytical solution that satisfies all boundary conditions, including the conditions on the top and bottom surfaces, of the laminates is presented. The solution can take into account all the independent elastic and piezoelectric constants for orthotropic and piezoelectric materials and satisfies the continuity conditions between plies of the laminates. Numerical examples are given at the end of the paper to verify the effectiveness of the present method. The results are compared with those of existing analytical and finite element models. ",
keywords = "Laminated piezoelectric plates, State equation , Boundary functions , Analytical solution ",
author = "Sheng, {H. Y.} and H. Wang and Ye, {J. Q.}",
year = "2007",
month = sep,
doi = "10.1016/j.ijmecsci.2006.11.012",
language = "English",
volume = "49",
pages = "806--818",
journal = "International Journal of Mechanical Sciences",
issn = "0020-7403",
publisher = "Elsevier Limited",
number = "7",

}

RIS

TY - JOUR

T1 - State space solution for thick laminated piezoelectric plates with clamped and electric open-circuited boundary conditions

AU - Sheng, H. Y.

AU - Wang, H.

AU - Ye, J. Q.

PY - 2007/9

Y1 - 2007/9

N2 - Based on the theories of 3-D elasticity and piezoelectricity and by assuming appropriate boundary functions, the state equation for laminated piezoelectric plate is established. By using the transfer matrix and recursive solution approach, an analytical solution that satisfies all boundary conditions, including the conditions on the top and bottom surfaces, of the laminates is presented. The solution can take into account all the independent elastic and piezoelectric constants for orthotropic and piezoelectric materials and satisfies the continuity conditions between plies of the laminates. Numerical examples are given at the end of the paper to verify the effectiveness of the present method. The results are compared with those of existing analytical and finite element models. 

AB - Based on the theories of 3-D elasticity and piezoelectricity and by assuming appropriate boundary functions, the state equation for laminated piezoelectric plate is established. By using the transfer matrix and recursive solution approach, an analytical solution that satisfies all boundary conditions, including the conditions on the top and bottom surfaces, of the laminates is presented. The solution can take into account all the independent elastic and piezoelectric constants for orthotropic and piezoelectric materials and satisfies the continuity conditions between plies of the laminates. Numerical examples are given at the end of the paper to verify the effectiveness of the present method. The results are compared with those of existing analytical and finite element models. 

KW - Laminated piezoelectric plates

KW - State equation

KW - Boundary functions

KW - Analytical solution

U2 - 10.1016/j.ijmecsci.2006.11.012

DO - 10.1016/j.ijmecsci.2006.11.012

M3 - Journal article

VL - 49

SP - 806

EP - 818

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

IS - 7

ER -