STUDY OF CIRCULAR CYLINDRICAL SHELLS WITH VARIOUS END CONDITIONS

Abstract

Three types of end conditions are considered in this thesis along the curved ends of the cylindrical shells with edge beams. These are : one end fixed and the other end may be fixed, simply supported or free. The basic functions derived by Prof. Inglis for vibration of shafts with different end conditions, are made use of . Load is expressed in a series of basic function loading and then the shell is analysed by two methods. i) Folded Plate _Approach, ii) Ritz Energy Method. For the analysis of folded plate, Whitney's method is used. It is found that the analysis will not differ much from that for simply supported case. In the energy method expressions for energy in the shell domain and edge beams are written to the accuracy of Donnell's equations in terms of suitably chosen displacement functions involving indetermined parameters. Minimising the total energy with respect to the unknowns yields linear simultaneous equations for determining them. An example is solved by the two methods and results compared. This shows that the displacement functions chosen in the energy method are not quite suitable. A study of convergence of results has also been made in the folded plate approach. Most of the forces are found to converge rapidly