Abstract
In this paper N. I. Muskhelishvili's method has been employed for solving problems of certain thin elastic plates having curvilinear boundaries and rotating steadily about an axis lying in the middle plane of the plate. Considered in detail is the problem of a plate having a regular curvilinear polygonal boundary, in general. The results for a circular, dumbbell-shaped, cycloidal and cogwheel-shaped plates have been derived as particular cases. The numerical results are presented in the form of tables and graphs.
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