Stress distribution in a toroidal ring sector subjected to bending and twisting

Thesis Type: Doctorate

Institution Of The Thesis: Bursa Uludağ University, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 1999

Thesis Language: Turkish

Student: Şavkat Tursunov

Supervisor: YAŞAR PALA


This study is devoted to theoretical investigation of stress distribution in a toroidal ring sector with the cross-section of confocal ellipses. Göhner's method is modified for the present analysis. The importance of toroidal ring sector, the practical area of usage and the works related to this subject take place in Chapter 1 and 2. In Chapter 3, governing equations of elasticity, boundary conditions, the study of solution methods and the deduction of some basic equations used in our problem in the cylindrical coordinate system are studied. Chapter 4 is devoted to the application of Göhner's method to toroidal ring sector of solid circular section. In Chapter 5, theoretical background corresponding to the section of material and method is considered. First, pure torsion problem of the ring sector of confocal ellipses are solved. Later, pure bending problem of the same ring sector is taken into account. The results for combined loading are obtained by combining the results for pure bending and pure twisting. In the last step, the results for solid elliptical cross-section, solid circular cross-section and for the sections of confocal circles are found via the present method. The derivation of differential equations and the related proofs are given in Appendixes. Chapter 6 contains the solution of a approximate model of the problem by using ANSYS computer software. The last chapter, Chapter 7, includes the analysis of the results and the comparison of theoretical and computer results.