General Series Solutions for Stresses and Displacements in an Inner-fixed Ring

3rd International Conference on Energy Equipment Science and Engineering

Jiao, Yongshu^1 ; Liu, Shuo^1 ; Qi, Dexuan^1

School of Mechanical Engineering, Hebei University of Technology, Tianjin

300401, China^1

关键词: Airy stress function;    Displacement boundary conditions;    Geometric equations;    Inner surfaces;    Series solutions;    Stress and displacement fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/128/1/012104/pdf
DOI  :  10.1088/1755-1315/128/1/012104

来源: IOP

【 摘 要 】

The general series solution approach is provided to get the stress and displacement fields in the inner-fixed ring. After choosing an Airy stress function in series form, stresses are expressed by infinite coefficients. Displacements are obtained by integrating the geometric equations. For an inner-fixed ring, the arbitrary loads acting on outer edge are extended into two sets of Fourier series. The zero displacement boundary conditions on inner surface are utilized. Then the stress (and displacement) coefficients are expressed by loading coefficients. A numerical example shows the validity of this approach.