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Author:

Ma, Hui (Ma, Hui.) | Zeng, Jin (Zeng, Jin.) | Lang, Ziqiang (Lang, Ziqiang.) | Zhang, Long (Zhang, Long.) | Guo, Yuzhu (Guo, Yuzhu.) | Wen, Bangchun (Wen, Bangchun.)

Indexed by:

SCIE EI Scopus

Abstract:

In this study, the dynamic characteristics of a slant-cracked cantilever beam are studied based on a new finite element (FE) model where both plane and beam elements are used to reduce the computational costs. Simulation studies show that the proposed model has the same system natural frequencies and vibration responses as those in the pure plane element model but is computationally more efficient. Based on the new model, the effects of loads such as gravity F-g, excitation force amplitude F-0 and direction angles of excitation force phi, and crack parameters including slant crack angle theta, dimensionless crack depth s and dimensionless crack location p, on system dynamics have been analyzed. The results indicate that (1) the gravity has a more significant effect on the sub-harmonic resonance responses than on the super-harmonic resonance and resonance responses; (2) The amplitudes of the system responses at both excitation force frequencies f(e) and its harmonics such as 2f(e) and 3f(e) increase almost linearly with the increase of the excitation force amplitude F-0; (3) Under the constant excitation force in the flexural direction, the tensile and compressive forces along the longitudinal direction can lead to opposite breathing behaviors of the crack within the super-harmonic and sub-harmonic resonance frequency regions; (4) Vibration is most severe under the straight crack angle (theta=90 degrees) and near the straight crack angle such as theta=100 degrees and 110 degrees, and the vibration responses under smaller or larger crack angles such as theta=30 degrees and theta=150 degrees become weaker; (5) The resonance at 2f(e) is sensitive to the faint crack signals when s is small and p is large. In addition, the significant vibration responses at the multiple frequency of 3f(e) and the fractional frequency of 0.5f(e) can be regarded as a distinguishable feature of the serious crack with large s and small p. (C) 2015 Elsevier Ltd. All rights reserved.

Keyword:

Breathing effect Cantilever beam Finite element Nonlinear vibration Slant crack

Author Community:

  • [ 1 ] [Ma, Hui; Zeng, Jin; Wen, Bangchun] Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China
  • [ 2 ] [Ma, Hui] Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China
  • [ 3 ] [Lang, Ziqiang; Zhang, Long; Guo, Yuzhu] Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England
  • [ 4 ] [Ma, Hui]Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China
  • [ 5 ] [Zeng, Jin]Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China
  • [ 6 ] [Wen, Bangchun]Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China
  • [ 7 ] [Ma, Hui]Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China
  • [ 8 ] [Lang, Ziqiang]Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England
  • [ 9 ] [Zhang, Long]Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England
  • [ 10 ] [Guo, Yuzhu]Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England

Reprint Author's Address:

  • Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China.; Ma, H (reprint author), Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China.

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Source :

MECHANICAL SYSTEMS AND SIGNAL PROCESSING

ISSN: 0888-3270

Year: 2016

Volume: 75

Page: 261-279

4 . 1 1 6

JCR@2016

6 . 8 2 3

JCR@2020

ESI Discipline: ENGINEERING;

ESI HC Threshold:128

JCR Journal Grade:2

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 30

SCOPUS Cited Count: 52

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 12

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