On the Inverse Problem of Rectangular Plates Subjected to Elastic Impact, Part II: Experimental Verification and Further Applications

Author:

Yen Ching-Shih1,Wu Enboa1

Affiliation:

1. Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 106, ROC

Abstract

Experimental verification of the method developed in Part 1 to identify both the impact location and the force history from strain responses on a rectangular plate was performed. Results showed the validity of the method in a real impact event. Also, a method was developed to further identify the initial velocity and the mass of an impactor by which a transverse impact was induced. This was accomplished by solving algebraic equations obtained from the assumption that the lateral displacements of both the impactor and the plate at the impact point were coincident during the contact period. Moreover, the inverse problem using incomplete response signals as the given data was investigated. A procedure to temporarily reconstruct the lost portions of the recorded signals was first presented, and the identification problem could then be solved by similar methods as that used for the complete response signals. Experimental verification was also performed. The agreement between the measured and the identified results was very satisfactory.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference6 articles.

1. Fox, R. L., 1971, Optimization Methods for Engineering Design, Addison-Wesley.

2. Pao Y. H. , 1978, “Theory of Acoustic Emission,” Elastic Waves and Nondestructive Testing of Materials, ASME AMD Vol. 29, pp. 107–128.

3. Press, W. H., Flannery, B. P., Teukolsdy, S. A., and Vettering, W. T., 1986, Numerical Recipes, Cambridge University Press, Cambridge, U.K.

4. Rosen J. B. , 1960, “The Gradient Projection Method for Nonlinear Programming, Part 1,” Journal of the Society for Industrial and Applied Mathematics, Vol. 8, pp. 181–217.

5. Wu E. , YehJ. C., and YenC. S., 1994, “Identification of Impact Forces at Multiple Locations on Laminated Plates,” AIAA Journal, Vol. 32, No. 12, pp. 2433–2439.

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