Solving the Stress Problem for Hollow Cylinders with Corrugated Elliptical Cross Section

Buckling behavior of a radially loaded corrugated orthotropic thin-elliptic cylindrical shell on an elastic foundation

“…On the other hand, the stability studies of corrugated shells resting on elastic medium are very scarce, in spite of devoted to smooth shells of a circular profile, but there are a few important publications related to this study as follows [14][15][16][17][18] in which the authors are investigated the stability behavior of the isotropic circular and conical cylindrical shells resting on the Winkler and Pasternak type foundations by using the modified Donnell-type theory and their stability equations are solved by Galerkin's method. As it is found recently, a few researchers are devoting their studies to the stress analysis of orthotropic corrugated shells with circular and elliptical cross section under effect of an elastic foundation for instance Vasyunyk [19], Grigorenko and Rozhok [20,21] and Grigorenko et al [22]. In contrary, despite the great value of engineering applications for the non-uniform shells of corrugated cross-section are no previous considerations for studying their buckling behavior embedded in an elastic medium, except the free smooth elliptic and oval cylindrical shells of variable thickness under compression and radial loads have been studied by Silvestre [23], Wan and Chen [24] and Khalifa [25].…”

Vibrations of an elastic orthotropic unmoment open cylindrical shell with variable curvature and free end, when other edges are rigid–clamped.

“…Особый интерес представляют задачи, связанные с цилиндрическими оболочками переменной кривизны. Для решения таких задач применяются различные аналитические и численные методы [2][3][4][5][6][7]. Для цилиндрических оболочек со свободным краем первые частоты распределены очень густо [8][9][10][11].…”