The buckling of FGM truncated conical shells subjected to axial compressive load and resting on Winkler–Pasternak foundations

Mechanical and thermal stability of eccentrically stiffened functionally graded conical shell panels resting on elastic foundations and in thermal environment

“…(11) and (12) into Eqs. (10); and note that the terms in the resulting equations with subscript 0 satisfy the equilibrium equations and therefore drop out of the equations. In addition, the non-linear terms with subscript 1 are ignored because they are small compared to the linear terms.…”

“…Therefore, studies on the effects of elastic foundations on behaviour and loading capacity of the shells are very important. The non-linear buckling of the truncated conical shells made from FGMs surrounded by an elastic medium and Winkler-Pasternak type elastic foundations was presented in [10,11]. Other studies about vibration of FGM conical shell panels, such as investigation offree vibration of FGM conical shell panels, have been investigated by Akbari et al in [12] and Zhao et al in [13].…”

On the vibration and stability of shear deformable FGM truncated conical shells subjected to an axial load

“…For example, Naj et al [26] studied thermal and mechanical instability of FG truncated conical shells based on the CST. Sofiyev [27,28] presented the vibration and stability behaviors of FGM conical shells subjected to external pressures and axial load on the basis of the CST.…”

“…from(28) into Eqs. (21)-(24), and applying the Galerkin's method to the resulting equations, one obtains the following set of equations…”

Natural frequency of laminated orthotropic shells with different boundary conditions and resting on the Pasternak type elastic foundation

“…Sun and Huang [35] investigated the exact solution for the general bending problems of conical shells on a Pasternak type elastic foundation. Sofiyev [36,37] presented the buckling analyses of functionally graded truncated conical shells under the axial load and combined loads and resting on the two-parameter elastic foundation.…”