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Stresses set up by rotation in limacon-shaped blades

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Summary

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.

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Dhaliwal, R.S., Chowdhury, K.L. Stresses set up by rotation in limacon-shaped blades. J Eng Math 14, 1–16 (1980). https://doi.org/10.1007/BF00042861

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