Next Article in Journal
Chip-Based Cytometry Illuminated by a Blade-Shape Continuous Light for Multispectral Detection
Next Article in Special Issue
Design of Cold-Formed Steel Screw Connections with Gypsum Sheathing at Ambient and Elevated Temperatures
Previous Article in Journal
Optical and Transport Properties of Ni-MoS2
Article Menu

Export Article

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

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

1
School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China
2
Department of Automatic Control and System Engineering, University of Sheffield, Sheffield S13JD, UK
3
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)
View Full-Text   |   Download PDF [5611 KB, uploaded 13 August 2016]   |  

Abstract

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
Figures

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).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Appl. Sci. EISSN 2076-3417 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top