| Summary: | 碩士 === 國立高雄海洋科技大學 === 輪機工程研究所 === 99 === This paper presents the scaling laws that provide the geometry and dynamic similitude conditions between the damped rotor-shaft system and its scale model, so that the torsional vibration characteristics of the full-size rotor-shaft system can be predicted from those of its scale model. The last scaling laws are determined from the equations of motion of the full-size rotor-shaft system and its scale model. Then, the scaling factors, that establish the relationship between the last two systems, involved in the preceding scaling laws (i.e., explicit scaling factors) are determined according to the fundamental physical properties of each scalable parameter of the system, while those not involved in the scaling laws (i.e., the implicit scaling factors) are determined based on the theory of dimensional analysis. Both the free and forced torsional vibration characteristics of the full-size rotor-shaft system and those of its scale model are used to validate the presented scaling laws and scaling factors.
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