Equations of Motion of an Asymmetric Timoshenko Shaft

被引:0
|
作者
F. A. Raffa
F. Vatta
机构
[1] Politecnico di Torino -,Dipartimento di Meccanica corso Duca degli
来源
Meccanica | 2001年 / 36卷
关键词
Asymmetric shaft; Rotordynamics; Continuum mechanics; Fields theory;
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摘要
The equations of motion of an asymmetric Timoshenko shaft, that is having unequal principal moments of inertia, are derived within the framework of the Lagrangian formulation for continuous systems and fields. The Lagrangian density of the system is calculated in a moving frame, that is a rotating frame attached to the deformed shaft, and proves to depend on the four Lagrangian variables (fields) of the system and their first derivatives w.r.t. space and time.
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页码:201 / 211
页数:10
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