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Author:

Hao, Y. X. (Hao, Y. X..) | Liu, Y. Y. (Liu, Y. Y..) | Zhang, W. (Zhang, W..) | Liu, L. T. (Liu, L. T..) | Sun, K. C. (Sun, K. C..) | Yang, S. W. (Yang, S. W..)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, the blade is assumed to be a rotating variable thickness cantilever twisted plate structure, and the natural vibrations of variable thickness cantilever twisted plate made of metal porous material are studied. It is assumed that the thickness of the plate changes along spanwise direction and chordwise direction, respectively, and it changes in both directions. The classical thin shell theory, the first and second fundamental forms of surface and von Karman geometric relationship are employed to derive the total potential energy and kinetic energy of the cantilever twisted plate, in which the centrifugal force potential due to high rotational speed is included. Then, according to the Rayleigh-Ritz procedure and applying the polynomial functions which satisfy the cantilever boundary conditions, the dynamic system expressed by equations of motion is reduced to an eigenvalue problem. By numerical simulation, the frequency curves and the mode shapes of the twisted plate can be obtained to reveal the internal connection between natural vibration and the parameters. A series of comparison studies are performed to verify the accuracy of the present formulation and calculations, in which compared data come from experimental, finite element method and theoretical calculation, respectively. The influence of pre-twist angle, three different forms of thickness taper ratio and rotational speed on natural vibration, mode exchange and frequency veering phenomenon of the system is discussed in detail. In addition, the approach proposed here can efficiently extract analytical expressions of mode functions for rotating variable thickness cantilever twisted plate structures. (c) 2022 China Ordnance Society. Publishing services by Elsevier B.V. on behalf of KeAi Communications Co. Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Keyword:

Variable thickness Frequency veering Porous cantilever twisted plate Natural vibration Mode exchange

Author Community:

  • [ 1 ] [Hao, Y. X.]Beijing Informat Sci & Technol Univ, Coll Mech Engn, Beijing 100192, Peoples R China
  • [ 2 ] [Liu, Y. Y.]Beijing Informat Sci & Technol Univ, Coll Mech Engn, Beijing 100192, Peoples R China
  • [ 3 ] [Liu, L. T.]Beijing Informat Sci & Technol Univ, Coll Mech Engn, Beijing 100192, Peoples R China
  • [ 4 ] [Sun, K. C.]Beijing Informat Sci & Technol Univ, Coll Mech Engn, Beijing 100192, Peoples R China
  • [ 5 ] [Yang, S. W.]Beijing Informat Sci & Technol Univ, Coll Mech Engn, Beijing 100192, Peoples R China
  • [ 6 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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Source :

DEFENCE TECHNOLOGY

ISSN: 2096-3459

Year: 2023

Volume: 27

Page: 200-216

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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