Abstract
Active vibration control of a smart FG (functionally graded) cylindrical shell conveying fluid in thermal environment is studied theoretically by using a laminated piezoelectric actuator. Velocity feedback control law is implemented to activate the piezoelectric actuator. Considering the electric-thermo-fluid-structure interaction effect, a nonlinear dynamic model of the smart fluid-conveying FG cylindrical shell is developed based on Hamilton’s principle and von-Karman type geometrical nonlinear relationship. The inviscid, incompressible, isentropic and irrotational fluid is coupled into governing equations using the linearized potential theory. The Galerkin’s method is used to obtain the nonlinear governing equations of motion of the coupled system. The multiple time scales approach is applied to solve the resulting governing equations for analysing the nonlinear dynamic characteristics of the coupled system. The influence of fluid flow velocity, feedback control gains of piezoelectric voltage, external excitation and material properties of FGM on the frequency-response curves of system are investigated. The results indicate that the piezoelectric voltage is an effective controlling parameter for vibration control of the system, and the flow velocity can effect significantly the vibration amplitude and nonlinearity of the coupled system.
Highlights
Cylindrical shells conveying fluid have widely applications in various engineering fields, in aerospace, marine industry, biomechanical applications
The frequencyamplitude curves of the smart fluid-conveying FG cylindrical shell bonded with a laminated piezoelectric actuator, is deduced for the desire mode
In order to verify the validity of the present method, the natural frequencies of a homogeneous piezoelectric made of PZT-4 without conveying fluid are compared with the existing analytical results [7]
Summary
Cylindrical shells conveying fluid have widely applications in various engineering fields, in aerospace, marine industry, biomechanical applications These structures are prone to undergoing undesirable vibration and noise due to the coupled effect of fluidstructure interactions, which degrade the system performance and influence the structural integrity and reliability. A number of works have been employed to study the active control of nonlinear vibration of single structures such as beams, plates and shells without considering fluid effects. Considering fluid effects, some attention has been paid to explore the active control of coupled vibration due to fluid-structure interaction by numerical, experimental method and finite element method. Shigeki et al [4] employed a numerical method to study the active control by using piezoelectric materials for fluid-structure interaction problems. The active vibration control of the coupled system is investigated by using a laminated piezoelectric actuator
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