Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-24T01:20:15.950Z Has data issue: false hasContentIssue false
  • English
  • Français

Nondestructive Damage Detection of Two Dimensional Plate Structures Using Modal Strain Energy Method

Published online by Cambridge University Press:  05 May 2011

H.-W. Hu  and
C.-B. Wu
H.-W. Hu*
Affiliation:
Composite Materials and Lightweight Structures Laboratory, Department of Vehicle Engineering, National Pingtung University of Science and Technology, Pingtung, Taiwan 91201, R.O.C.
C.-B. Wu*
Affiliation:
Composite Materials and Lightweight Structures Laboratory, Department of Vehicle Engineering, National Pingtung University of Science and Technology, Pingtung, Taiwan 91201, R.O.C.
*
* Associate Professor, corresponding author
** Graduate student
Get access

Abstract

A nondestructive detection method of surface cracks in two dimensional plate structures using modal strain energy method is investigated in this paper. Experimental modal analysis (EMA) is conducted on an aluminum alloy 6061 thin plate to obtain the mode shapes before and after damage under a completely free boundary condition. The measured mode shapes are used to compute the strain energy of the plate. Limited by the measured points, a differential quadrature method is employed to compute the partial differential terms in strain energy formula. A damage index is then defined based on strain energy ratio of the plate before and after damage. This damage index is employed to identify the location of surface crack in plate structure. A finite element analysis (FEA) is also performed to access this approach and demonstrate a feasible process for the experimental work. Good correlation between FEA and EMA results is obtained. The damage index obtained from both FEA and EMA successfully identify the location of surface crack in the aluminum plate. Only few measured mode shapes of the plate are required in this method, which provides a quick, flexible, inexpensive and nondestructive technique to identify the damagein local and global 2D plate structures.

Keywords

Modal strain energyExperimental modal analysisDifferential quadrature methodDamage index
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 4 , December 2008 , pp. 319 - 332
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Doebling, S. W., Farrar, C. R. and Prime, M. B., “A Summary Review of Vibration-Based Damage Identification Methods,” The Shock and Vibration Digest, 30, pp. 91–105 (1998).CrossRefGoogle Scholar
2.Cawley, P. and Adams, R. D., “A Vibration Technique for Non-destructive Testing of Fiber Composite Structures,” J Comp Mater., 13, pp. 161–175 (1979).CrossRefGoogle Scholar
3.Cawley, P. and Adams, R. D., “The Location of Defects in Structure from Measurements of Natural Frequencies,” J. Strain Anal., 14, pp. 49–57 (1979).CrossRefGoogle Scholar
4.Tracy, J. J. and Pardoen, G. C., “Effect of Delamination on the Natural Frequencies of Composite Laminates,” J. Comp. Mater., 23, pp. 1200–1215 (1989).Google Scholar
5.Shen, M. H. H. and Grady, J. E., “Free Vibration of Delaminated Beams,” AIAA J., 30, pp. 1361–1370 (1992).CrossRefGoogle Scholar
6.Pandey, A. K., Biswas, M. and Samman, M. M., “Damage Detection form Changes in Curvature Mode Shapes,” J. Sound Vib., 145, pp. 321–332 (1991).CrossRefGoogle Scholar
7.Stubbs, N., Kim, J. T. and Topole, K., “An Efficient and Robust Algorithm for Damage Localization in Offshore Platforms,” Proc. ASCE 10th Structures Congress, pp. 543–546(1992).Google Scholar
8.Stubbs, N., Kim, J. T. and Farrar, C. R., “Field Verification of a Non-destructive Damage Localization and Severity Estimation Algorithm,” Proc. 13th Intel. Modal Anal. Conf., pp. 210–218 (1995).Google Scholar
9.Shi, Z. Y., Law, S. S. and Zhang, L. M., “Structural Damage Localization from Modal Strain Energy Change,” J. Sound Vib., 218, pp. 825–844 (1998).CrossRefGoogle Scholar
10.Shi, Z. Y., Law, S. S. and Zhang, L. M., “Structural Damage Detection from Modal Strain Energy Change,” J. Eng. Mech., 126, pp. 1216–1223 (2000).CrossRefGoogle Scholar
11.Shi, Z. Y., Law, S. S. and Zhang, L. M., “Improved Damage Quantification from Elemental Modal Strain Energy Change,” J. Eng. Mech., 128, pp. 521–529 (2002).CrossRefGoogle Scholar
12.Cornwell, P. J., Dobeling, S. W. and Farrar, C. R., “Application of the Strain Energy Damage Detection Method to Plate-Like Structures,” Proc. 15th Intel. Modal Anal. Conf., Orlando, FL, pp. 1312–1318 (1997).Google Scholar
13.Cornwell, P. J., Dobeling, S. W. and Farrar, C. R., “Application of the Strain Energy Damage Detection Method to Plate-Like Structures,” J. Sound Vib., 224, pp. 359–374 (1999).CrossRefGoogle Scholar
14.Choi, S., Park, P., Yoon, S. and Stubbs, N., “Nondestructive Damage Identification in Plate Structures Using Changes in Modal Compliance,” NDT & EIntel., 38, pp. 529–540 (2005).CrossRefGoogle Scholar
15.Zou, Y., Tong, L. and Steven, G. P., “Vibration-Based Model-Dependent Damage (Delamination) Identification and Health Monitoring for Composite Structures — A Review,” J. Sound Vib., 2, pp. 357–378 (2000).CrossRefGoogle Scholar
16.Hu, H., Wang, B. T., Lee, C. H. and Su, J. S., “Damage Detection of Surface Cracks in Composite Laminates Using Modal Analysis and Strain Energy Method,” Compo. Struct., 74, pp. 399–405 (2006).CrossRefGoogle Scholar
17.Hu, H., Wang, B. T. and Lee, C. H., “Damage Detection of Surface Crack in Composite Quasi-Isotropic Laminate Using Modal Analysis and Strain Energy Method,” Key Eng. Mater., 306–308, pp. 757–762 (2006).CrossRefGoogle Scholar
18.Bellman, R. E., Kashef, B. G. and Casti, J., “Differential Quadrature: A Technique for the Rapid Solution of Nonlinear Partial Differential Equation,” J. of Comp. Phy., 10, pp. 40–52(1972).CrossRefGoogle Scholar
19.Bert, C. W., Jang, S. K. and Striz, A. G., “Two New Approximate Methods for Analyzing Free Vibration of Structural Components,” AIAA J., 26, pp. 612–618 (1988).CrossRefGoogle Scholar
20.Shu, C. and Xue, H., “Solution of Helmholtz Equation by Differential Quadrature Method,” Comp Meth. Appl. Mech. Eng., 175, pp. 203–212 (1999).CrossRefGoogle Scholar
21.Wang, B.T., Chen, P. H. and Chen, R. L., “Finite Element Model Verification for the Use of Piezoelectric Sensor in Structural Modal Analysis,” Journal of Mechanics, 22, pp. 107–114 (2006).CrossRefGoogle Scholar