期刊
JOURNAL OF SOUND AND VIBRATION
卷 393, 期 -, 页码 308-320出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2017.01.035
关键词
Axially moving string; Gyroscopic modes; Invariant manifold method; Multiple scale analysis
资金
- National Natural Science Foundation of China [11672007, 11672189, 11290152]
- Beijing Natural Science Foundation [3172003]
A novel idea that applies the multiple scale analysis to a discretized decoupled system of gyroscopic continua is introduced and an axial moving string is treated as an example. First, the invariant manifold method is applied to the discretized ordinary differential equations of the axially moving string. Complex gyroscopic mode functions that agree well with true analytical results are obtained. The gyroscopic modes are subsequently used for the discretized ordinary differential equations with gyroscopic and nonlinear coupling terms that yield a gyroscopically decoupled system. Further the method of multiple scales is used to obtain the equations at a slow scale. This novel procedure is compared to solutions obtained by directly applying the classical multiple scale analysis to the gyroscopically coupled system without decoupling. The modal decoupled system analysis yields better frequency with comparing to the classic method. The proposed methodology provides a novel alternative for nonlinear dynamic analysis of gyroscopic continua. (C) 2017 Elsevier Ltd. All rights reserved.
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