In this research, investigations are presented of the free vibration of porous laminated rotating circular cylindrical shells based on Love’s shell theory with simply supported boundary conditions. The equilibrium equations for circular cylindrical shells are obtained using Hamilton’s principle. Also, Navier’s solution is used to solve the equations of the cylindrical shell due to the simply supported boundary conditions. The results are compared with previous results of other researchers. The numerical result of this study indicates that with increase of the porosity coefficient the nondimensional backward and forward frequency decreased. Then the results of the free vibration of rotating cylindrical shells are presented in terms of the effects of porous coefficients, porous type, length to radius ratio, rotating speed, and axial and circumferential wave numbers.
In this study, the free vibration studies of rotating circular cylindrical shells composited of functionally graded materials (FGMs) layer with simply supported boundary condition has been investigated. The FGM S layer composed from metal and ceramic that metal has on the outer surface and ceramic has on the inner surface of the circular cylinder shells. Based on the Love's first approximation shell theory, relations between strain and displacement are expressed. Then, according to Hamilton's principle, the governing equations for the cylindrical shell are extracted. Also, due to the simply supported boundary condition, the Navier's solution is used to solve the equations of the cylindrical shell. Then the results obtained with the present method compared with the results of other investigations. The results are compared with a results that presented by other researchers. Finally, the results obtained from the rotating FGMs cylindrical shells for length to radius ratio, rotating speed, axial and circumferential wave number, are presented.
In this study, the effect of electric and magnetic potential on the free vibration of rotating circular cylindrical shell of functionally graded piezo electromagnetic composed with fiber reinforced polymers has been investigated. The laminated fiber reinforced polymer is in the core and is supported with the functionally graded material layer on the both sides, and two piezoelectric layers are mounted on the outside and inside of the cylindrical shells. Relationships between strain and displacement are expressed based on Love’s first approximation shell theory. Then according to Hamilton’s principle, the governing equations for the cylindrical shell are extracted. Also, the Navier’s solution is used to solve the equations of the cylindrical shell for the simply–simply supported boundary conditions. The numerical results of the analytical solution for the rotating functionally graded piezoelectric–fiber reinforced polymer cylindrical shells based on the effect of magnetic and electric potential, axial and circumferential wave number and speed rotation are obtained. These results are compared with other research and demonstrated a good agreement.
Free vibration analysis of adhesive joins between two laminates circular cylindrical along with conical laminated composite shells considering various boundary conditions are examined. The numerical analysis are studied based on the first order shear deformation shell theory (FSDT) and considering compatibility conditions. Using Hamilton principle method, the governing equations of composite cylindrical shell lap adhesive joined to the composite conical shells are obtained. The analysis for carbon/epoxy, glass/epoxy and aramid/epoxy laminated composite materials and various type of adhesive materials are studied. For solving the equilibrium equations of lap joined the cylindrical to the conical shells with adhesive layer, the generalized differential quadrature method (GDQM) is used. The effect of circumferential wave number, length to radius ratio of the shell, length of overlap to length of shell ratio, thickness to radius ratio and thickness of adhesive to thickness of shell ratio are investigated. Furthermore, the various cone angles of conical shell, type of materials and adhesive layer on the natural frequency of laminated circular cylindrical connected to the conical shells are studied. In order to validate the numerical results of present analysis with previous research compared that the result shown that these comparisons show very good agreement. Numerical results shown that with increasing the value of cone angle of the conical shell and the ratio of overlap length to shell length, due to increasing the structural stiffness, the non-dimensional frequency of the structure with adhesive layer increased.
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