An active method of vibration control of a smart sandwich plate (SSP) using discrete piezoelectric patches is investigated. In order to actively control the SSP vibration, the plate is equipped with three piezoelectric patches that act as actuators. Based on the classical plate theory, a finite element model with the contributions of piezoelectric sensor and actuator patches on the mass and stiffness of the sandwich plate was developed to derive the state space equation. LQR control algorithm is used in order to actively control the SSP vibration. The accuracy of the present model is tested in transient and harmonic loads. The applied piezoelectric actuator provides a damping effect on the SSP vibration. The amplitudes of vibrations and the damping timewere significantly reducedwhen the control is ON.
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Wave propagation in a thermo piezoelectric membrane immersed in an in finite fluid medium is discussed using three-dimensional linear theory of elasticity and thermos piezoelectricity. Three displacement potential functions are introduced to uncouple the equations of motion, heat and electric conduction equations. The frequency equations are obtained for longitudinal and flexural modes at the solid fluid interfacial boundary conditions. The numerical results are analyzed for PZT-4 material and the computed stress, strain, electric displacement and temperature distribution are presented in the form of dispersion curves and its characteristics are studied.
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Purpose: Present paper is continuation of earlier publications with stack of piezoelectric plates. This work is an author’s idea of calculations of complex systems with many elements. Design/methodology/approach: The base of calculation is matrix method and application of aggregation of graphs to determination characteristic parameters of bimorphic systems, as well as to drawing its characteristics. Findings: The analysis of complex piezoelectric system was shown to determinate characteristics of it. Research limitations/implications: In the article problem of mechatronic system analysis on example of longitudinal vibration of piezoelectric plates was presented. In the future analysis of plate with bending vibration will be done. Practical implications: Presented analysis method of piezoelectric effect in complex systems is well suited for determining the flexibility of bimorphic stack of piezoelectric plates in vibration sensors. This sensors are used to the level detection of materials. Originality/value: Thanks to the approach, introduced in this paper, analysis of bimorph system was done by means of the graph and structural numbers method.
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