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Author:

Chen, Lihua (Chen, Lihua.) | Xue, Jian (Xue, Jian.) | Zhang, Zhijie (Zhang, Zhijie.) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus SCIE

Abstract:

An all-over breathing crack on the plate surface having arbitrary depth and location is assumed to be nonpropagating and parallel to one side of the plate. Based on a piecewise model, the nonlinear dynamic behaviors of thin plate with the all-over breathing crack are studied to analyze the effect of external excitation amplitudes and frequencies on cracked plate with different crack parameters (crack depth and crack location). Firstly, the mode shape functions of cracked thin plate are obtained by using the simply supported boundary conditions and the boundary conditions along the crack line. Then, natural frequencies and mode functions of the cracked plate are calculated, which are assessed with FEM results. The stress functions of thin plate with large deflection are obtained by the equations of compatibility in the status of opening and closing of crack, respectively. To compare with the effect of breathing crack on the plate, the nonlinear dynamic responses of open-crack plate and intact plate are analyzed too. Lastly, the waveforms, bifurcation diagrams, and phase portraits of the model are gained by the Runge-Kutta method. It is found that complex nonlinear dynamic behaviors, such as quasi-periodic motion, bifurcation, and chaotic motion, appear in the breathing crack plate.

Keyword:

Author Community:

  • [ 1 ] [Chen, Lihua]Beijing Univ Technol, 100 Pingleyuan, Beijing, Peoples R China
  • [ 2 ] [Xue, Jian]Beijing Univ Technol, 100 Pingleyuan, Beijing, Peoples R China
  • [ 3 ] [Zhang, Zhijie]Beijing Univ Technol, 100 Pingleyuan, Beijing, Peoples R China
  • [ 4 ] [Zhang, Wei]Beijing Univ Technol, 100 Pingleyuan, Beijing, Peoples R China

Reprint Author's Address:

  • [Chen, Lihua]Beijing Univ Technol, 100 Pingleyuan, Beijing, Peoples R China

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Source :

ADVANCES IN MATERIALS SCIENCE AND ENGINEERING

ISSN: 1687-8434

Year: 2016

Volume: 2016

ESI Discipline: MATERIALS SCIENCE;

ESI HC Threshold:305

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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