Dynamic buckling of an elastic orthotropic conical shell whose thickness varies as a power function


Sofiyev A., Aksogan O.

Teknik Dergi/Technical Journal of Turkish Chamber of Civil Engineers, cilt.13, sa.DECEMBER, ss.797-812, 2002 (Scopus) identifier

Özet

This study considers the dynamic buckling of an orthotropic elastic truncated conical shell with variable thickness, subject to a uniform external pressure which is a power function of time. At first, the fundamental relations and the Donnell type stability equations of an orthotropic elastic conical shell, subject to an external pressure, are obtained. Then, employing Galerkin's method, those equations are reduced to a system of time dependent differential equations with variable coefficients. Finally, applying a modified form of the method given in reference [1], the critical static and dynamic loads, the corresponding wave numbers and the dynamic factor are found analytically. Using those results, some problems, in which the shell thickness varies as a power function, are solved numerically. The effects of the variations of the power in the thickness expression, the semi-vertex angle, the power of time in the external pressure expression and the ratios En /E77 and h, /ho on the critical parameters are studied in length [2]. It is observed, from the computations carried out, that these factors have appreciable effects on the critical parameters of the problem in the heading.