32. Study of the structure size interval of incomplete geometrically similitude model of the elastic thin plates

Zhong Luo1, Yunpeng Zhu2, You Wang3, Xueyan Zhao4

1, 2, 3School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China

4Department of Automatic Control and System Engineering, University of Sheffield, Sheffield, UK

1Corresponding author

E-mail: 1zhluo@mail.neu.edu.cn, 2270641532@qq.com, 3515077587@qq.com, 4zhaoxueyan1773@163.com

(Received 30 June 2013; accepted 8 December 2013)

Abstract. To design the similitude test model having the same nature characteristics with the prototype of the elastic thin plates, an innovative method of confirm the structure size applicable interval of distorted (incomplete geometrically) similar model was proposed. Firstly, the complete scaling laws and the distortion scaling laws between the model and its prototype were established by using the governing equation analysis. Then, under the study of the structure size applicable interval which kept the same first-order nature characteristic (nature frequency and vibration mode), through the research of the vibration mode control interval (each order of the mode keep the same) and the predict interval of frequency, the method of structure size applicable interval of distorted similar model was obtained, which they were in different orders with the same nature characteristic. Finally, the proposed calculation method is verified by experiment.

Keywords: elastic thin plate, inherent characteristic, distorted similitude model, interval.


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Cite this article

Luo Zhong, Zhu Yunpeng, Wang You, Zhao Xueyan Study of the structure size interval of incomplete geometrically similitude model of the elastic thin plates. Journal of Measurements in Engineering, Vol. 1, Issue 4, 2013, p. 207‑218.


Journal of Measurements in Engineering. December 2013, Volume 1, Issue 4
Vibroengineering. ISSN Print 2335-2124, ISSN Online 2424-4635, Kaunas, Lithuania