ON THE INFLUENCE OF SLIGHT CURVATURE IN THE BENDING BEHAVIOR OF A ROTATING SHAFT.

摘要

Many scientists have studied the problem of stability in a rotating shaft. In each of these studies, a shaft with zero initial curvature has been assumed. This dissertation extends the classical theory by taking into account a slight curvature of the shaft. The slight curvature is approximated by a finite Fourier series. A theoretical model is developed which illustrates the behaviour of the shaft during rotation. It is observed that the solutions from this model are unique except at discrete values of the rotation speed. Two special cases from this general theory are considered in detail. Finally a practical method for estimating the maximum bending moment is presented. An example of its application to a shaft design problem is given. (Author)