TY - JOUR
T1 - Free vibration of an extensible rotating inclined Timoshenko beam
AU - Lee, Sen Yung
AU - Sheu, Jer Jia
N1 - Funding Information:
This research work was supported by the National Science Council of Taiwan, ROC under Grant NSC 92-2751-B-006-012 and is gratefully acknowledged.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2007/7/24
Y1 - 2007/7/24
N2 - An exact power-series solution for free vibration of a rotating inclined Timoshenko beam is developed. It is shown that both the extensional deformation and the Coriolis force will have significant influence on the natural frequencies of the rotating beam when the dimensionless rotating extension parameter is large. Without numerical analysis, several general qualitative relations among the inclination angle, the hub radius and the natural frequencies of the beam are revealed. In addition, the influence of extensional deformation in the centrifugal stiffening force term on the natural frequencies evaluated by the Timoshenko and the Euler beam theories is also studied and compared.
AB - An exact power-series solution for free vibration of a rotating inclined Timoshenko beam is developed. It is shown that both the extensional deformation and the Coriolis force will have significant influence on the natural frequencies of the rotating beam when the dimensionless rotating extension parameter is large. Without numerical analysis, several general qualitative relations among the inclination angle, the hub radius and the natural frequencies of the beam are revealed. In addition, the influence of extensional deformation in the centrifugal stiffening force term on the natural frequencies evaluated by the Timoshenko and the Euler beam theories is also studied and compared.
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U2 - 10.1016/j.jsv.2007.03.005
DO - 10.1016/j.jsv.2007.03.005
M3 - Article
AN - SCOPUS:34248583564
SN - 0022-460X
VL - 304
SP - 606
EP - 624
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 3-5
ER -