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Analytical solution of the electro-mechanical flexural coupling between piezoelectric actuators and flexible-spring boundary structure in smart composite plates
- 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.
- Subjects :
- Materials science
Analytical solution
Smart laminated piezoelectric composite rectangular plates
business.industry
Differential equation
Mechanical Engineering
Linear elasticity
Structural engineering
Higher-order unit step function
Piezoelectricity
Flexural response
Finite element method
Higher-order Fourier integral function
Flexural strength
Spring (device)
Plate theory
Boundary value problem
business
Flexible-spring boundary
Civil and Structural Engineering
Subjects
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