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Three-dimensional piezo-viscoelastic behavior of FGM cylindrical panel with piezoelectric layers under electro-mechanical loads
In the framework of 3D elasticity theory, the static behavior of functionally graded viscoelastic cylindrical panels with piezoelectric layers under electro-mechanical loads is investigated. The viscoelastic material is modeled using Boltzmann's integral model, and its Poisson's ratio is constant, and for its time-dependent Young’s modulus, spatially, the power distribution in the radial direction is considered. Modulus time changes are also expressed using the Prony series. For simply supported edges, the state space method and Fourier expansion, and for other boundary conditions, the semi-analytical approach by the state space differential quadrature method (DQM) are used. Equations of motion are solved in the Laplace domain and by the Laplace inverse technique, results are transferred back to the time domain numerically. Also, the results of this research have been validated with other similar research. Finally, the effect of different parameters such as the type of supports, the relaxation time constant, thickness of the piezoelectric layer, and other important parameters on the static response of the panel have been investigated. Results demonstrate that if the ratio of the total layer thickness to the piezoelectric thickness exceeds a specified value, the effect of the thickness of the piezoelectric layer on mechanical behavior can be disregarded. Furthermore, when relaxation time constant increases, the amount of stress remains constant for a constant thickness and equals the amount of stress in the elastic panel. However, the amount of displacement decreases.
Three-dimensional piezo-viscoelastic behavior of FGM cylindrical panel with piezoelectric layers under electro-mechanical loads
In the framework of 3D elasticity theory, the static behavior of functionally graded viscoelastic cylindrical panels with piezoelectric layers under electro-mechanical loads is investigated. The viscoelastic material is modeled using Boltzmann's integral model, and its Poisson's ratio is constant, and for its time-dependent Young’s modulus, spatially, the power distribution in the radial direction is considered. Modulus time changes are also expressed using the Prony series. For simply supported edges, the state space method and Fourier expansion, and for other boundary conditions, the semi-analytical approach by the state space differential quadrature method (DQM) are used. Equations of motion are solved in the Laplace domain and by the Laplace inverse technique, results are transferred back to the time domain numerically. Also, the results of this research have been validated with other similar research. Finally, the effect of different parameters such as the type of supports, the relaxation time constant, thickness of the piezoelectric layer, and other important parameters on the static response of the panel have been investigated. Results demonstrate that if the ratio of the total layer thickness to the piezoelectric thickness exceeds a specified value, the effect of the thickness of the piezoelectric layer on mechanical behavior can be disregarded. Furthermore, when relaxation time constant increases, the amount of stress remains constant for a constant thickness and equals the amount of stress in the elastic panel. However, the amount of displacement decreases.
Three-dimensional piezo-viscoelastic behavior of FGM cylindrical panel with piezoelectric layers under electro-mechanical loads
Archiv.Civ.Mech.Eng
Maslak, A. Taheri (author) / Alibeigloo, A. (author)
2023-11-27
Article (Journal)
Electronic Resource
English
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