0
Research Papers: Design and Analysis

Vibration-Based Structural Damage Identification and Evaluation for Cylindrical Shells Using Modified Transfer Entropy Theory

[+] Author and Article Information
Guohua Liu

Professor
Department of Hydraulic Engineering,
Zhejiang University,
866 Yuhangtang Road,
Hangzhou 310058, Zhejiang Province, China
e-mail: zjuliugh@zju.edu.cn

Ziyuan Yu

Department of Hydraulic Engineering,
Zhejiang University,
866 Yuhangtang Road,
Hangzhou 310058, Zhejiang Province, China
e-mail: 11312068@zju.edu.cn

Xu Liang

Professor
Department of Ocean Engineering,
Zhejiang University,
866 Yuhangtang Road,
Hangzhou 310058, Zhejiang Province, China
e-mail: liangxu@zju.edu.cn

Changpeng Ye

Department of Hydraulic Engineering,
Zhejiang University,
866 Yuhangtang Road,
Hangzhou, 310058, Zhejiang Province, China
e-mail: Changpeng89@126.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received February 23, 2018; final manuscript received August 12, 2018; published online November 12, 2018. Assoc. Editor: Kiminobu Hojo.

J. Pressure Vessel Technol 140(6), 061204 (Nov 12, 2018) (14 pages) Paper No: PVT-18-1044; doi: 10.1115/1.4041264 History: Received February 23, 2018; Revised August 12, 2018

In this paper, modified transfer entropy theory is combined with a surrogate data algorithm to produce a new method in order to identify nonlinearity in the vibration data of a damaged cylindrical shell. The proposed identification method can eliminate the necessity of acquiring baseline statistics by comparing the transfer entropy of original vibration data and that of surrogate data. Moreover, a new index ξ is established to reflect the degree of nonlinearity by quantifying the discreteness of the entropy of each group of surrogate data. Vibration tests are conducted and experimental data are analyzed to confirm the effectiveness of this method. Then, a semi-analytical method based on a Galerkin method and the classic shell theory is used to precisely predict the linear and nonlinear vibration response of a cylindrical shell under different damage circumstances. The corresponding results show that the proposed method can not only identify the structural damage but also be further applied to the evaluation of such damage for cylindrical shells. In addition, the influence of different load pressures and degrees of damage on the effectiveness of the identification method is analyzed and discussed. As verified, the proposed methodology can be potentially used for structural damage identification and evaluation in areas such as civil engineering, mechanical engineering, and ocean engineering.

Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Achenbach, J. D. , 2009, “ Structural Health Monitoring-What Is the Prescription,” Mech. Res. Com., 36(2), pp. 137–142. [CrossRef]
Zembaty, Z. , Kowalski, M. , and Pospisil, S. , 2006, “ Dynamic Identification of a Reinforced Concrete Frame in Progressive States of Damage,” Eng. Struct., 28(5), pp. 668–681. [CrossRef]
Zou, Y. , Tong, L. , and Steven, G. P. , 2000, “ Vibration-Based Model-Dependent Damage (Delamination) Identification and Health Monitoring for Composite Structures—A Review,” J. Sound Vib., 230(2), pp. 357–378. [CrossRef]
Bagchi, A. , Humar, J. , and Xu, H. P. , 2010, “ Model-Based Damage Identification in a Continuous Bridge Using Vibration Data,” J. Perform. Constr. Fac., 24(2), pp. 148–158. [CrossRef]
Schreiber, T. , 2000, “ Measuring Information Transfer Entropy,” Phys. Rev. Lett., 85(2), pp. 461–464. [CrossRef] [PubMed]
Overbey, L. A. , and Todd, M. D. , 2009, “ Dynamic System Change Detection Using a Modification of the Transfer Entropy,” J. Sound Vib., 322(1–2), pp. 438–453. [CrossRef]
Overbey, L. A. , and Todd, M. D. , 2009, “ Effects of Noise on Transfer Entropy Estimation for Damage Detection,” Mech. Syst. Signal Process, 23(7), pp. 2178–2191. [CrossRef]
Gotoda, H. , Asano, Y. , and Chuah, K. H. , 2010, “ Dynamic Behavior of Buoyancy-Induced Flame Oscillation Under Swirling Flow by a Use of Nonlinear Time Series Analysis in Combination With Surrogates Method,” Combust. Sci. Technol., 182(11–12), pp. 1820–1840. [CrossRef]
Yin, Y. , and Shang, P. J. , 2015, “ Modified Cross Sample Entropy and Surrogates Analysis Method for Financial Time Series,” Phys. A, 433(3), pp. 17–25. [CrossRef]
Gan, M. , Huang, Y. Z. , Ding, M. , Dong X. P., and Peng, J. B., 2012, “ Testing for Nonlinearity in Solar Radiation Time Series by a Fast Surrogates Test Method,” Sol. Energy, 86(9), pp. 2893–2896. [CrossRef]
Nichols, J. M. , Seaver, M. , and Trickey, S. T. , 2006, “ A Method for Detecting Damage-Induced Nonlinearities in Structures Using Information Theory,” J. Sound Vib., 297(1–2), pp. 1–16. [CrossRef]
Nichols, J. M. , Seaver, M. , Trickey, S. T. , Todd, M. D., Olson, C., and Overbey, L., 2005, “ Detecting Nonlinearity in Structural Systems Using the Transfer Entropy,” Phys. Rev. E, 72(4), pp. 1–11. [CrossRef]
Shi, Z. Y. , Law, S. S. , and Zhang, L. M. , 2000, “ Damage Localization by Directly Using Incomplete Mode Shapes,” J. Eng. Mech., 126(6), pp. 656–660. [CrossRef]
Schreiber, T. , and Schmitz, A. , 1996, “ Improved Surrogates for Nonlinearity Tests,” Phys. Rev. Lett., 77(4), pp. 635–638. [CrossRef] [PubMed]
Prichard, D. , and Theiler, J. , 1994, “ Generating Surrogates for Time Series With Several Simultaneously Measured Variables,” Phys. Rev. Lett., 73(7), pp. 951–954. [CrossRef] [PubMed]
Theiler, J. , Eubank, S. , Longtin, A. , Galdrikian, B., and Farmer, J. D., 1992, “ Testing for Nonlinearity in Time Series: The Method of Surrogates,” Phys. Rev D, 58(1–4), pp. 77–94.
Girish, J. , and Ramachandra, L. S. , 2005, “ Thermal Postbuckled Vibrations of Symmetrically Laminated Composite Plates With Initial Geometric Imperfections,” J. Sound Vib., 282(3–5), pp. 1137–1153. [CrossRef]
Lopatin, A. V. , and Morozov, E. V. , 2013, “ Buckling of the Composite Orthotropic Clamped-Clamped Cylindrical Shell Loaded by Transverse Inertia Forces,” Comp. Struct., 95, pp. 471–478. [CrossRef]
Wang, T. L. , and Tang, W. Y. , 2005, “ The Semi-Analytical Method to Solve Dynamic Response of Composite Cylindrical Shell,” J. Shanghai Jiaotong Univ.(Sci.), 39(3), pp. 1851–1857. http://link.springer.com/article/10.1007%2Fs11741-007-0306-1
Nguyen, D. , and Pham, T. , 2015, “ Nonlinear Dynamic Response and Vibration of Shear Deformable Imperfect Eccentrically Stiffened S-FGM Circular Cylindrical Shells Surrounded on Elastic Foundations,” Aero. Sci. Technol., 40(8), pp. 115–127.

Figures

Grahic Jump Location
Fig. 1

Overall process diagram of the methodology

Grahic Jump Location
Fig. 2

Experimental setup of the vibration test: (a) tentative layout, (b) schematic diagram, and (c) schematic illustration (mm)

Grahic Jump Location
Fig. 3

The transfer entropy of the original data and ten groups of surrogates for cases of different damage degrees: (a) damage degree: 0, (b) damage degree: 1, (c) damage degree: 2, and (d) damage degree: 3

Grahic Jump Location
Fig. 4

The evaluation index for each case

Grahic Jump Location
Fig. 5

Schematic diagram of a cylindrical shell

Grahic Jump Location
Fig. 6

The positions of two measuring points

Grahic Jump Location
Fig. 7

The vibration response of the midpoint: (a) P0 = 5 MPa and (b) P0 = 20 MPa

Grahic Jump Location
Fig. 8

The transfer entropy results for linear systems: (a) linear results when P0 = 5 MPa and (b) linear results when P0 = 20 MPa

Grahic Jump Location
Fig. 9

The transfer entropy results for nonlinear systems: (a) nonlinear results when P0 = 5 MPa and (b) nonlinear results when P0 = 20 MPa

Grahic Jump Location
Fig. 10

The original data of the displacement response and its surrogates: (a) P0 = 10 MPa, κ = 0 and (b) P0 = 10 MPa, κ = 0.1

Grahic Jump Location
Fig. 11

The transfer entropy of the original data and ten groups of surrogates: (a) P0 = 10 MPa, κ = 0 and (b) P0 = 10 MPa, κ = 0.1

Grahic Jump Location
Fig. 12

The vibration response of the midpoint for cases of different load pressures: (a) P0 = 5 MPa, κ = 0.15; (b) P0 = 7.5 MPa, κ = 0.15; (c) P0 = 10 MPa, κ = 0.15; and (d) P0 = 12.5 MPa, κ = 0.15

Grahic Jump Location
Fig. 13

The transfer entropy of the original data and ten groups of surrogates for cases of different load pressures: (a) P0 = 5 MPa, κ = 0.15; (b) P0 = 7.5 MPa, κ = 0.15; (c) P0 = 10 MPa, κ = 0.15; and (d) P0 = 12.5 MPa, κ = 0.15

Grahic Jump Location
Fig. 14

The vibration response of the midpoint for cases of different damage coefficients: (a) P0 = 12 MPa, κ = 0.05; (b) P0 = 12 MPa, κ = 0.1; (c) P0 = 12 MPa, κ = 0.2; (d) P0 = 12 MPa, κ = 0.3; and (e) P0 = 12 MPa, κ = 0.5

Grahic Jump Location
Fig. 15

The transfer entropy of the original data and ten groups of surrogates for cases of different damage coefficients: (a) P0 = 12 MPa, κ = 0.05; (b) P0 = 12 MPa, κ = 0.1; (c) P0 = 12 MPa, κ = 0.2; (d) P0 = 12 MPa, κ = 0.3; and (e) P0 = 12 MPa, κ = 0.5

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In