2109. Accurate prediction approach of dynamic characteristics for a rotating thin walled annular plate considering the centrifugal stress requirement
Zhong Luo1, You Wang2, Jingyu Zhai3, Yunpeng Zhu4
1, 2School of Mechanical Engineering and Automation, Northeastern University, Shenyang, P. R. China
3School of Mechanical Engineering, Dalian University of Technology, Dalian, P. R. China
4Department of Automatic Control and System Engineering, Sheffield University, Sheffield, UK
E-mail: email@example.com, firstname.lastname@example.org, email@example.com, firstname.lastname@example.org
Received 17 January 2016; received in revised form 15 April 2016; accepted 23 April 2016
Abstract. In allusion to the problem that experimental results of similitude models of a rotating turbine disc predict dynamic characteristics of the prototype, the accurate design method of dynamic similitude models of a rotating thin walled annular plate is investigated by considering the centrifugal stress requirement. The vibration differential equation is employed to deduce geometrically complete scaling laws of dynamic frequency and centrifugal stress. In order to determine accurate distorted scaling laws of dynamic frequency, the sensitivity analysis and determination principle are used. For distorted scaling laws of centrifugal stress, the average approach of candidate distorted scaling laws is proposed, and its mathematical form is simple. Furthermore, the numerical validation indicates that distorted scaling laws can predict dynamic characteristics of the prototype and reflect the strength conditions or even failures of a prototype with good accuracy, and applicable intervals of the distorted scaling law are calculated. Finally, an acceptable procedure of the similitude design method of a rotating thin walled annular plate is provided, which guides to the design of test models considering centrifugal stress requirement.
Keywords: rotating, annular plates, scaling laws, centrifugal stress, sensitivity.
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Cite this article
Luo Zhong, Wang You, Zhai Jingyu, Zhu Yunpeng Accurate prediction approach of dynamic characteristics for a rotating thin walled annular plate considering the centrifugal stress requirement. Journal of Vibroengineering, Vol. 18, Issue 5, 2016, p. 3104‑3116.
© JVE International Ltd. Journal of Vibroengineering. Aug 2016, Vol. 18, Issue 5. ISSN 1392-8716