Date of Award

Fall 1977

Document Type

Dissertation - Restricted

Degree Name

Doctor of Philosophy (PhD)


Mechanical Engineering

First Advisor

Kao, J. S.

Second Advisor

Heinen, James A.

Third Advisor

Nigro, N. J.


The finite element representation is extensively utilized in static and dynamic analysis of structural systems, and its impact on other numerical analysis is increasing. This dissertation is directed toward application of the technique to dynamic analysis of rotor-bearing systems. In addition, the use of reduced stiffness, mass, and damping matrices to represent the shaft, in place of the complete global stiffness matrices is explored. The basic element representations of rotating beam, disc, and bearing portions of the rotor are developed. The steady rotation about the rotor axis is shown to result in a skew-symmetric gyroscopic damping matrix in addition to the usual beam stiffness and mass matrices. The direct use of shear strain as a nodal variable, followed by reduction to retain only displacement· and slope degrees of freedom on an element or global basis, is described and implemented for a general tapered beam.



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