Abstract
The free vibrations of a spiral rod with straight portions on a number of supports are discussed. Since the spiral portion is a three-dimensional structure, the three-dimensional motions are coupled. Hence the transfer matrix for a three-dimensional curved rod with supports is presented first, and then the transfer matrix of a straight rod with supports is joined to that of the spiral rod. The frequency equations for the rod with consideration of three-dimensional motions are obtained. Numerical calculations are carried out for some typical problems.
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