Vibration and stability analysis of toroidal shells.
|Title:||Vibration and stability analysis of toroidal shells.|
|Abstract:||The present study is concerned with the vibration and stability analysis of toroidal shells. The study was conducted in two parts. The first part dealt with the vibration of toroidal panels, and the second with the stability of complete toroidal shells under distributed and concentrated loading. The natural frequency and mode shape analysis of toroidal panels formed the first part of the study. The problem has potential application to reactor vessels. Panels were considered cut from different positions of a toroidal surface. Solutions were set up using the Fourier series approach, finite element method, and the differential quadrature method. Comparisons between results were made, and parametric studies considering the effect of position, thickness, and boundary conditions were carried out. The linear elastic stability analysis of a partially submerged toroidal shell subject to concentrated loads forms the second part of the study. The problem has potential application to an offshore platform. The loading applied to the shell is idealized as a set of pads of normal surface stresses. A theoretical solution for the smallest buckling load based on the Donnell stability equations is developed. Sample results for the critical load and buckling mode are determined using the finite element method. Finally a hybrid solution based on shell theory and the differential quadrature method is presented.|
|Collection||Thèses, 1910 - 2010 // Theses, 1910 - 2010|