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Structural Engineering and Mechanics Volume 34, Number 4, March10 2010 , pages 449-474 DOI: https://doi.org/10.12989/sem.2010.34.4.449 |
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Steady-state response and free vibration of an embedded imperfect smart functionally graded hollow cylinder filled with compressible fluid |
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Z.G. Bian, W.Q. Chen and J. Zhao
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| Abstract | ||
| A smart hollow cylinder consisting of a host functionally graded elastic core layer and two surface homogeneous piezoelectric layers is presented in this paper. The bonding between the layers can be perfect or imperfect, depending on the parameters taken in the general linear spring-layer interface model. The effect of such weak interfaces on free vibration and steady-state response is then investigated. Piezoelectric layers at inner and outer surfaces are polarized axially or radially and act as a sensor and an actuator respectively. For a simply supported condition, the state equations with non-constant coefficients are obtained directly from the formulations of elasticity/piezoelasticity. An approximate laminated model is then introduced for the sake of solving the state equations conveniently. It is further assumed that the hollow cylinder is embedded in an elastic medium and is simultaneously filled with compressible fluid. The interaction between the structure and its surrounding media is taken into account. Numerical examples are finally given with discussions on the effect of some related parameters. | ||
| Key Words | ||
| free vibration; steady-state response; smart cylinder; interaction; imperfect interfaces; spring-layer model; state space approach. | ||
| Address | ||
| Z.G. Bian: Department of Civil Engineering, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, P.R. China W.Q. Chen: Institute of Applied Mechanics, Zhejiang University, Hangzhou 310027, P.R. China J. Zhao: Quzhou Highway Management Department, Quzhou 324000, P.R. China | ||