Skip to main content
Top
Published in: Strength of Materials 1/2020

14-04-2020

Simulation of the Crack Geometry Effect on the Natural Vibration Frequency of a Plate Blade

Authors: C. W. Li, J. Li, Y. W. Fang

Published in: Strength of Materials | Issue 1/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Free and fixed plate blade root states were simulated with finite element analysis to reveal the crack effect on the natural vibration frequency of the blade. Natural vibration frequencies are obtained for blades with different crack locations and lengths. The crack is found to reduce the blade stiffness and to affect its natural vibration frequency. The longer the crack, the greater the change of the stiffness, and the more the natural vibration frequency decreases. In the free state, the effect of the cracks of the same length on the natural vibration frequency is basically identical when it lies between the two nodal lines of first-order bending vibrations. The crack effect at a height of one-half the blade in the free state on natural frequencies is very close to that of the cracks of the same length at a height of one-eighth the blade in the fixed state. Practical guidelines for the detection of fracture cracks are given and the crack length and location were evaluated by frequency variations.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference S. Li, L. Liang, and Q. Yu, “Theoretic study on inherent frequency of bending vibration of stepped beam,” J. Gansu Sci., 30, No. 4, 81–86 (2018). S. Li, L. Liang, and Q. Yu, “Theoretic study on inherent frequency of bending vibration of stepped beam,” J. Gansu Sci., 30, No. 4, 81–86 (2018).
2.
go back to reference Q. Sun, B. Wang, Q. Chai, et al., “The effects of the compressor blade fixed states to the nature frequency calculated results,” J. Air Force Eng. Univ.: Natural Science Edition, 4, No. 4, 8–10 (2003). Q. Sun, B. Wang, Q. Chai, et al., “The effects of the compressor blade fixed states to the nature frequency calculated results,” J. Air Force Eng. Univ.: Natural Science Edition, 4, No. 4, 8–10 (2003).
3.
go back to reference Q. Sun, Z. P. Zhang, C. W. Li, et al., “The study of the nature frequency for aero-engine pin fixed blade,” Chinese J. Appl. Mech., 23, No. 3, 470–472 (2006). Q. Sun, Z. P. Zhang, C. W. Li, et al., “The study of the nature frequency for aero-engine pin fixed blade,” Chinese J. Appl. Mech., 23, No. 3, 470–472 (2006).
4.
go back to reference Q. Sun, Z. P. Zhang, Q. Chai, et al., “The relationship between the aero-engine compressor blade nature frequency and the temperature,” Chinese J. Appl. Mech., 21, No. 4, 137–139 (2004). Q. Sun, Z. P. Zhang, Q. Chai, et al., “The relationship between the aero-engine compressor blade nature frequency and the temperature,” Chinese J. Appl. Mech., 21, No. 4, 137–139 (2004).
5.
go back to reference C. W. Li, H. Y. Li, C. Wang, et al., “A Study of influencing factors on frequencies and mode shapes of aeroengine turbine blades,” J. Air Force Eng. Univ.: Natural Science Edition, 15, No. 1, 5–9 (2014). C. W. Li, H. Y. Li, C. Wang, et al., “A Study of influencing factors on frequencies and mode shapes of aeroengine turbine blades,” J. Air Force Eng. Univ.: Natural Science Edition, 15, No. 1, 5–9 (2014).
6.
go back to reference W. H. Cai, “Equivalent bending stiffness calculation for rotating blade crack section,” J. Jilin Univ., 32, No. 3, 41–44 (2002). W. H. Cai, “Equivalent bending stiffness calculation for rotating blade crack section,” J. Jilin Univ., 32, No. 3, 41–44 (2002).
7.
go back to reference J. H. Kuang and B. W. Huang, “The effect of blade crack on mode localization in rotating bladed disks,” J. Sound Vib., 227, No. 1, 85–103 (1999).CrossRef J. H. Kuang and B. W. Huang, “The effect of blade crack on mode localization in rotating bladed disks,” J. Sound Vib., 227, No. 1, 85–103 (1999).CrossRef
8.
go back to reference O. Sadettin, “Analysis of free and forced vibration of a cracked cantilever beam,” NDT&E Int., 40, No. 6, 443–450 (2007).CrossRef O. Sadettin, “Analysis of free and forced vibration of a cracked cantilever beam,” NDT&E Int., 40, No. 6, 443–450 (2007).CrossRef
9.
go back to reference Y. P. Fang, Vibration Model Analysis [in Chinese], National Defence Industry Publishing House, Beijing (1994). Y. P. Fang, Vibration Model Analysis [in Chinese], National Defence Industry Publishing House, Beijing (1994).
10.
go back to reference ANSYS Help, Release 10.0 Documentation for ANSYS, ANSYS Inc., Pittsburgh, PA (2005). ANSYS Help, Release 10.0 Documentation for ANSYS, ANSYS Inc., Pittsburgh, PA (2005).
11.
go back to reference C. W. Li, X. Q. Luo, B. Y. Yang, et al., “Stress intensity factor calculation for aero-engine compressor blade with finite method,” Chinese J. Appl. Mech., 30, No. 3, 373–377 (2013). C. W. Li, X. Q. Luo, B. Y. Yang, et al., “Stress intensity factor calculation for aero-engine compressor blade with finite method,” Chinese J. Appl. Mech., 30, No. 3, 373–377 (2013).
Metadata
Title
Simulation of the Crack Geometry Effect on the Natural Vibration Frequency of a Plate Blade
Authors
C. W. Li
J. Li
Y. W. Fang
Publication date
14-04-2020
Publisher
Springer US
Published in
Strength of Materials / Issue 1/2020
Print ISSN: 0039-2316
Electronic ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-020-00154-1

Other articles of this Issue 1/2020

Strength of Materials 1/2020 Go to the issue

Premium Partners