An analytical solution for dynamic behavior of thick doubly curved functionally graded smart panels

Salarieh, Hassan; Farsangi, Mohammad Amin Askari

doi:10.1016/j.compstruct.2013.07.039

Cited by 30 publications

(19 citation statements)

References 26 publications

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“…In two papers, Kiani et al [4,5] investigated the static and dynamic behavior of a FGM doubly-curved panel. Sayyadi and Farsangi [6] also presented an analytical solution for the free vibration and dynamic problem of thick doubly-curved FG smart panels.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Functionally Graded Porous Doubly-Curved Shells Based on the First-Order Shear Deformation Theory

et al. 2017

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Due to some technical issues that can appear during the manufacturing process of Functionally Graded Materials (FGMs), it can be extremely difficult to produce perfect materials. Indeed, one of the biggest problems is the presence of porosities. For this purpose, the vibrational behavior of doubly-curved shells made of FGM including porosities is investigated in this paper. With respect to previous research, the porosity has been added to the mechanical model that characterizes the through-the-thickness distribution of the graded constituents and applied to doubly-curved shell structures. Few papers have been published on this topic. In fact, it is easier to find works related to one-dimensional structures and beam models that take account the effect of porosities. The First-order Shear Deformation Theory (FSDT) is considered as the theoretical framework. In addition, the mechanical properties of the constituents vary along the thickness direction. For this purpose, two power-law distributions are employed to characterize their volume fraction. Strain components are established in an orthogonal curvilinear coordinate system and the governing equations are derived according to the Hamilton's principle. Finally, Navier's solution method is used and the numerical results concerning three different types of shell structures are presented.

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Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Functionally Graded Porous Doubly-Curved Shells Based on the First-Order Shear Deformation Theory

et al. 2017

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“…Liew et al [33] have organized a brief review of firstorder and higher-order shear deformation plate and shell theories, meshless methods with main emphasis on the element-free Galerkin method and reproducing kernel particle method for composite structures. Sayyaadi and Farsangi [34] have presented an analytical solution for free vibration and dynamic behavior of doubly curved laminated shell consisting of a functionally graded core layer and surface-attached functionally graded piezoelectric layers. They derived the governing equations of motion under mechanical loads as seven highly coupled partial differential equations using Hamilton's principle and Maxwell's equation.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid

Khorshidi

Bakhsheshy

2015

Acta Mech

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This study investigates the vibration analysis of a functionally graded (FG) rectangular plate partially in contact with a bounded fluid. The material properties are assumed to vary continuously through the thickness direction according to a simple power-law distribution in terms of volume fraction of material constituents. Wet dynamic transverse displacements of the plate are approximated by a set of admissible trial functions, which are required to satisfy the clamped and simply supported geometric boundary conditions. The fluid velocity potential satisfying fluid boundary conditions is derived, and wet dynamic modal functions of the plate are expanded in terms of finite Fourier series for compatibility requirement along the contacting surface between the plate and the fluid. Natural frequencies of the plate coupled with sloshing fluid modes are calculated using the Rayleigh-Ritz method based on minimizing the Rayleigh quotient. The proposed analytical method is validated with available data in the literature. In the numerical results, the effects of boundary conditions, aspect ratios, thickness ratios, gradient index, material properties of the FG plate, depth of the fluid and dimensions of the tank on the wet natural frequencies are investigated.

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“…Recently, Bodaghi et al presented the dynamic analysis of FG beams with FGPM layers in the thermal environment [38]. Sayyaadi and Askari Farsangi [39] analyzed the dynamic behavior of a doubly curved laminated FGM shell with FGPM layers. More recently, Saadatfar and AghaieKhafri [40,41] studied the thermoelastic problem of a long and short length FGM hollow cylinder bonded to FGPM layers in a constant magnetic field.…”

Section: Introductionmentioning

confidence: 99%

On the Behavior of a Rotating Functionally Graded Hybrid Cylindrical Shell with Imperfect Bonding Subjected to Hygrothermal Condition

Saadatfar

Aghaie-Khafri

2015

Journal of Thermal Stresses

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The static behavior of a rotating cylindrical shell with surface bounded sensor and actuator in an axisymmetric hygrothermal condition is analyzed. The shell is simply supported and could be rested on an elastic foundation. The material properties of the shell and piezoelectric sensor and actuator are assumed to be functionally graded in the radial direction. Using the Fourier series expansion method through the longitudinal direction and the differential quadrature method (DQM) across the radial direction, and governing differential equations are solved. The validity of the present work was verified by comparisons with other published works. Numerical results are presented to illuminate the effects of key parameters on the responses of the hybrid shell.

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An analytical solution for dynamic behavior of thick doubly curved functionally graded smart panels

Cited by 30 publications

References 26 publications

Free Vibration Analysis of Functionally Graded Porous Doubly-Curved Shells Based on the First-Order Shear Deformation Theory

Free Vibration Analysis of Functionally Graded Porous Doubly-Curved Shells Based on the First-Order Shear Deformation Theory

Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid

On the Behavior of a Rotating Functionally Graded Hybrid Cylindrical Shell with Imperfect Bonding Subjected to Hygrothermal Condition

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