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Journal of Vibration Testing and System Dynamics 2(1) (2018) 53--67 | DOI:10.5890/JVTSD.2018.03.006

Zhong Luo$^{1}$,$^{2}$, Yunpeng Zhu$^{3}$, YouWang$^{4}$, FeiWang$^{1}$,$^{2}$, Qingkai Han$^{5}$

$^{1}$ School of Mechanical Engineering & Automation, Northeastern University, Shenyang, China

$^{2}$ Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang, Liaoning, China

$^{3}$ Department of Automation Control and System Engineering, University of Sheffield, Sheffield S13JD, UK

$^{4}$ Shenyang Institute of Automation Chinese Academy of Sciences, Shenyang, China

$^{5}$ School of Mechanical Engineering, Dalian University of Technology, Dalian, China

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Abstract

This study investigates the non-linear dynamic scaling laws for a rotating thin-wall short cylindrical shell. By introducing the geometric non-linear term, corresponding governing equations are employed to establish the non-linear scaling laws. Both the natural frequency and single-point excitation response of the rotating cylindrical shell are investigated. The applicability of the scaling laws of the rotating thin-wall short cylindrical shell is verified numerically. In addition, the scaling laws for linear and non-linear vibrations are compared. Analytical results indicate that the scaled model designed by the non-linear scaling laws are more restrictive than that of using the linear scaling laws. In addition, they predict the characteristics of the prototype with good accuracy.

Acknowledgments

This work was supported by the National Science Foundation of China under the grant number 11572082; the Fundamental Research Funds for the Central Universities of China under the grant numbers N160312001 and N150304004; and the Excellent Talents Support Program in Institutions of Higher Learning in Liaoning Province of China under the grant number LJQ2015038.

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