Content area
Full text
(ProQuest: ... denotes non-US-ASCII text omitted.)
Si-jia Chen 1, 2 and Ding-guo Zhang 2
Academic Editor:Xiaoting Rui
1, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China
2, School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, China
Received 9 July 2013; Revised 21 August 2013; Accepted 4 September 2013
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
1. Introduction
Dynamics of the flexible structures can be affected by many factors, such as the shape and the motion. It is found that the dynamics of the flexible structure with large overall motion has an essential difference from the dynamics of that on an immobile base. In the past three decades, the dynamic modeling of a rotating flexible beam has received extensive research efforts [1-18]. Kane et al. [1] investigated a rotating flexible cantilever beam by using the traditional coupling model, which showed that this model fails to describe the dynamic behavior of the beam when it is at high rotation speed; and "Dynamic Stiffening" [1] was first pointed out. Then, many methodologies were developed to capture the dynamic stiffening term. Yoo and Shin [6] derived the motion equations of a rotating cantilever beam based on a new dynamic modeling method. The derived equations (governing stretching and bending motions) were all linear, so they could be directly used for the vibration analysis including the coupling effect, which could not be considered in the conventional modeling method. References [7-10] presented the first-order approximation coupling (FOAC) model, which is based on the theory of continuum medium mechanics and the theory of analysis dynamics. The FOAC model considered the second-order coupling term of longitudinal displacement caused by transversal deformation, while the traditional zeroth-order approximation coupling (ZOAC) model assumed small deformation in structural dynamics, where the longitudinal and transversal deformations are uncoupled. However, the FOAC model can only be used in the case of small deformation. Liu and Hong [11] presented a high-order approximation coupling (HOAC) model and showed that the HOAC model can be approximated to the FOAC model in the case of small deformation. However, the distinctions between HOAC model and FOAC model were...