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Appl. Sci. 2016, 6(8), 228; doi:10.3390/app6080228

Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates

School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China
Department of Automatic Control and System Engineering, University of Sheffield, Sheffield S13JD, UK
AVIC Shenyang Aero-engine Design Institute, Shenyang 110042, China
Author to whom correspondence should be addressed.
Academic Editor: Zhong Tao
Received: 7 July 2016 / Revised: 26 July 2016 / Accepted: 1 August 2016 / Published: 13 August 2016
(This article belongs to the Special Issue Applications of Thin-Walled Structures)
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In the present study, a new method of predicting the dynamic behavior of a variable thickness (VT) cantilever plate by using a thin plate scaled model is proposed. The thin plate model, defined as the model thin (MT) plate, is designed by using the newly proposed similitude design method. The method is derived based on the transfer matrix of both the stepped thickness (ST) plate that is simplified by the VT plate and the thin plate. The thickness of the MT plate is calculated by introducing the equivalent thickness corresponding to each VT plate’s vibration modals, such that a series of accurate distorted scaling laws are provided to predict each corresponding property. Moreover, an algorithm of designing the MT plate is proposed and a design process is summarized in steps. Finally, an example, where the prototype VT plate is made of 42 CrMo and the MT plate is made of NO. 45 steel, is discussed to validate the proposed design method, showing that the MT plate, which is designed by using the proposed method, can accurately predict the dynamic properties of the prototype VT plate, and showing its significance in engineering practice. View Full-Text
Keywords: variable thickness; thin plate; transfer matrix; distorted model; scaling laws variable thickness; thin plate; transfer matrix; distorted model; scaling laws

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Luo, Z.; Zhu, Y.; Liu, H.; Wang, D. Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates. Appl. Sci. 2016, 6, 228.

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