M.Sc. Tezi Görüntüleme

      Static, free and forced vibration analysis of axisymmetric structures under non-axisymmetric loadings such as wind and earthquake as well as axisymmetric loadings such as internal or external pressure were studied using harmonic solid ring finite elements. With the help of harmonic analysis physically three dimensional problems can be reduced to two dimensional problems by expressing non-axisymmetric loading in the form of Fourier series. The complete solution for the problem is obtained by superimposing a reasonable number of solutions for load components. 4-noded (Ring4) and 9-noded (Ring9) solid quadrilateral ring elements were used for the finite element analysis. A computer program for the purpose was coded in Matlab and verified solving several benchmark problems. During verification process these elements were compared with each other for accuracy, shear and volumetric locking. Ring9 seemed to be free of locking problems whereas Ring4 suffered from locking.

      Keywords: Axisymmetric Structures, Ring Finite Element, Harmonic Analysis, Fourier Series, Wind Loading, Hyperbolic Cooling Towers, Static and Dynamic Response, Free Vibration