Free vibrations of a conical shell with temperature-dependent material properties

Sie sind hier: Homepage > Suche

Free vibrations of a conical shell with temperature-dependent material properties

Mecitoglu, Z.

A conical shell is one of the common structural elements used in modern airplane, missile, booster, and other space vehicles. A severe consequence of air flow over aerospace structures is aerodynamic heating. Structural designers must select materials and design structures that can withstand the aerothermal loads of high-speed-flight. Aerodynamic heating is the predominant structural load and is extremely important because induced elevated temperatures can affect the structural behavior by decreasing the material's ability to withstand loads. For instance, the elastic properties such as Young's modulus, are significantly reduced by elevated temperatures. This article presents an analysis of the free vibrations of a truncated conical thin shell subjected to thermal gradients. The governing equations of the shell are based on the Donnell-Mushtari theory of thin shells. Simply supported and clamped boundary conditions are considered at both ends of truncated conical shell. Temperature loading due to supersonic flow is assumed to vary along the meridian and across the thickness of the shell. Hamilton's principle is used to derive the appropriate governing equations of a conical shell with temperature-dependent material properties. The shell material has a kind of inhomogeneity due to the varying temperature load and temperature dependency of material properties. The resulting differential equations are solved numerically using the collocation method. The results are compared with certain earlier results. The influence of temperature load on the vibration characteristics is examined for the conical shells with various geometrical properties.