Theoretical and Experimental Investigation on Modal Characteristics of Rotating Flexible Beam under Dynamic Boundary Conditions

Author:

Yin Hai Bin1,Li Yu Feng1,Zhao Yan1,Cui Pei Juan2

Affiliation:

1. Wuhan University of Technology

2. China Academy of Launch Vehicle Technology

Abstract

In order to exactly formulate the dynamics and solve the flexible vibration in the studies on the flexible structure, it is inevitable to study the modal characteristics of the flexible structure; while the accuracy of the modal characteristics relies on the choice of its boundary conditions. This paper investigates the modal characteristics of a flexible beam considering dynamic boundary conditions. Firstly, the first three mode shape functions and frequencies of a sliding-mass beam model are obtained through theoretical solutions. The concept of dynamic boundary conditions is brought forward by the study of special boundary conditions. Secondly, a rotating-free beam model is proposed to describe the dynamic boundary conditions of the rotating flexible beam. The first three frequencies and the mode shape functions of the rotating-free beam model are obtained. Finally, a series of samples and experiments proves the validity of the proposal on the rotating-free beam model.

Publisher

Trans Tech Publications, Ltd.

Reference19 articles.

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2. G. Han, Y. Wu, Y. Wang and Z. Liu, Dynamic analysis of a rotating blade with a rigid-flexible coupling, pre-twisted angle and variable cross-section,J. of Harbin Eng. University, 2011, 32(6): 736-741. (In Chinese).

3. B. Zhu and H. Wu, Dynamic Stress Calculation of Steam Turbine Blade, Journal of Xi'an Jiaotong University, 2000, 34(1): 26-29. (In Chinese).

4. Y. Song, Y. Yu, C. Zhang and J. Ma,Summary on the Study of Dynamics Analysis and Vibration Control of Flexible Robots, Machine Design, 2003, 20(4): 1-4. (In Chinese).

5. D. Zhang and Z. Zhu, Dynamic Stiffening of Rigid-flexible Coupling System, Journal of Nanjing University of Science and Technology, 2006, 30(1): 21-25. (In Chinese).

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