The complex variable method has been used to find stresses set up in Booth's Lemniscate shaped thin isotropic elastic blade rotating steadily about a normal axis passing through its center. The complex potentials and the hoop stress are found in the closed form. The numerical values for the hoop str
Stresses set up by rotation in limacon-shaped blades
β Scribed by R. S. Dhaliwal; K. L. Chowdhury
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 568 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0022-0833
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper deals with finding the stresses in steadily rotating limacon-shaped thin blades of homogeneous isotropic elastic material. The complex potentials, involving real parameters, have been obtained in closed form. Giving suitable values to the parameters involved, the solutions are derived for the following four positions of the axis of rotation: (a) the line of symmetry of the limacon, (b) any line perpendicular to the line of symmetry and lying in the plane of the blade, (c) any line passing through a point on the line of symmetry and perpendicular to the plane of the blade, (d) normal axis passing through the centroid. The hoop stress and its stationary points have been calculated in all the cases. The results have also been derived for circular blades. The numerical results are presented in the form of tables and graphs.
π SIMILAR VOLUMES