Abstract
This is a research on rigorous theory for the natural vibration analysis of blade, a geometrically and environmentally complicated beam. The reason why the term "rigorous" is emphasized here is that (1) all the factors related to beam deformation are taken into consideration, and (2) those factors are combined to form an organically unified theory of non-contradiction, which is fully confirmed. In the 1st report, such a unified theory has been formulated in the form of a set of state equations. In this 2nd report, they are converted into a set of transfer matrices, assuming lumped inertia. The reason of acceptability of this assumption is that the order of major blade vibrations of engineering importance is much lower than the number of lumped inertia. The reason of beneficialness of this assumption is that it separates inertia, Coriolis and centrifugal-force matrices from stiffness matrix to enable theoritical development of good perspective.
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