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Analytical solution of the electro-mechanical flexural coupling between piezoelectric actuators and flexible-spring boundary structure in smart composite plates

Authors :
Saeed Mouloodi
Colin Burvill
Hadi Rahmanpanah
F. Mozafari
S. Sharifi
Navid Moslemi
Soheil Gohari
Mozafari, Farzin
Source :
Archives of Civil and Mechanical Engineering
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

An analytical solution has been developed developed in this research for electro-mechanical flexural response of smart laminated piezoelectric composite rectangular plates encompassing flexible-spring boundary conditions at two opposite edges. Flexible-spring boundary structure is introduced to the system by inclusion of rotational springs of adjustable stiffness which can vary depending on changes in the rotational fixity factor of the springs. To add to the case study complexity, the two other edges are kept free. Three advantages of employing the proposed analytical method include: (1) the electro-mechanical flexural coupling between the piezoelectric actuators and the plate’s rotational springs of adjustable stiffness is addressed; (2) there is no need for trial deformation and characteristic function—therefore, it has higher accuracy than conventional semi-inverse methods; (3) there is no restriction imposed to the position, type, and number of applied loads. The Linear Theory of Piezoelectricity and Classical Plate Theory are adopted to derive the exact elasticity equation. The higher-order Fourier integral and higher-order unit step function differential equations are combined to derive the analytical equations. The analytical results are validated against those obtained from Abaqus Finite Element (FE) package. The results comparison showed good agreement. The proposed smart plates can potentially be applied to real-life structural systems such as smart floors and bridges and the proposed analytical solution can be used to analyze the flexural deformation response.

Details

ISSN :
16449665
Volume :
21
Database :
OpenAIRE
Journal :
Archives of Civil and Mechanical Engineering
Accession number :
edsair.doi.dedup.....c1d36f234e917c038ae24e04aa754fd2
Full Text :
https://doi.org/10.1007/s43452-021-00180-z