C. T. F. Ross

Bio: C. T. F. Ross is an academic researcher. The author has contributed to research in topics: Conical surface & Buckling. The author has an hindex of 1, co-authored 1 publications receiving 34 citations.

Lobar buckling of thin-walled cylindrical and truncated conical shells under external pressures

Abstract: Numerical solutions have been produced for the asymmetric instability of thin-walled circular cylindrical and truncated conical shells under external pressure. The solutions for the circular cylinder have shown that the assumed buckling configurations of Nash and Kaminsky were quite reasonable for fixed ends. Comparison was also made of the finite-element solution of conical shells with other analyses. From these calculations, it was shown that the numerical solutions were superior to the analytical ones, as the former could be readily applied to vessels of varying thickness or those subjected to unsymmetrical loading or with complex boundary conditions.

Vibration analysis of laminated conical shells with variable thickness

Abstract: Effects of thickness variation on natural frequencies of laminated conical shells have been studied by using a semi-analytical finite element method. Love's first approximation thin shell theory is used to solve the problem. Effects of various parameters, such as the number of layers of the shell, the semi-vertex angle, the slant length to small end radius ratio and the thickness variation parameter (maximum to minimum thickness ratio), are studied, particularly on the lowest natural frequency. Shells of linear symmetrically varying thickness, about the mid-length of the shell, have been considered for the analyis. During the computation, the mass of the shell was kept constant for a particular slant length to small end radius ratio in order to provide useful examples of the effect of the thickness distribution on the natural frequencies.

Finite elements for the vibration of cones and cylinders

Abstract: Elemental mass matrices have been produced for the vibration of conical and cylindrical shells, based on a semi-analytical approach. Frequencies and modes of vibration have been compared with existing solutions and also with experimental results obtained from other sources. Good agreement has been found between theory and experiment for thin-walled circular cylinders and cones, a cone-cylinder combination, and a cooling tower model. A theoretical investigation was also made on the vibration of a circular cylinder when subjected to uniform pressure.

Free vibration of circular cylindrical shells with axially varying thickness

Abstract: A semi-analytical finite element analysis is presented for determining the natural frequencies of thin circular isotropic cylindrical shells with variable thickness. Love's first approximation shell theory is used to solve the problem. The effect of thickness distribution on natural frequencies was determined for two boundary conditions; viz., simply supported-simply supported and clamped-clamped with different length to radius ratios. The thickness distribution was assumed to be linear and quadratic along the axial direction.

The buckling of a corrugated carbon fibre cylinder under external hydrostatic pressure

Abstract: A theoretical and an experimental investigation was carried out, where a carbon fibre corrugated circular cylinder was tested to destuction under external hydrostatic pressure. The theoretical investigation was via the finite element method, where the structure was modelled with several orthotropic axisymmetric thin-walled shell elements. The experimental observations were aided with strategically placed strain gauges. Comparison between theory and experiment showed that the experimentally observed buckling pressure was a little lower than the theoretical prediction. This may have been due to the fact that the model had slight initial geometrical imperfections in the circumferenential direction.

Vibration analysis of orthotropic shells with variable thickness

Abstract: The free vibration characteristics of orthotropic circular cylindrical shells are analysed using Love's first approximation shell theory. Semianalytical finite element method is used as the method of solution. Shells of clamped-clamped and simply supported-simply supported boundary conditions are analysed with thickness varying along the axial direction. The influence of thickness distribution on natural frequencies, especially on lowest natural frequency, is studied. The effect of degree of orthotropy on natural frequencies of shells is also investigated.