Vibration and characteristics of elliptic and ellipsoidal thin shell

In this thesis study; vibration characteristics of elliptical and circular cylindrical, spheroidal (ellipsoid of revolution) and ellipsoidal thin shells are investigated. The main goal of the study is to find the first few resonance frequencies of the thin shells which have these types of geometries. This aim is achieved by finding the natural frequencies of the shells. The geometrical and physical equations of the investigated shells have been derived by using the differential geometry mathematics and "Love thin shell theory". A finite element method with ring elements has been developed by using the energy expressions, for obtaining the numerical results. These results have been obtained by computer programmes which have been written in MATLAB. The results found by; the vibration experiment, the commercial analysis software IDEAS and the thesis study, have been compared to prove the validity of the derived equations and the written MATLAB programmes. A satisfactory harmony has been observed during the comparisons. Keywords: Vibration, thin shells, resonance, finite element method, elliptic and ellipsoidal geometries.