Abstract
The inverse problem of solving for impact force history using experimentally measured structural responses tends to be ill conditioned. A computationally efficient deconvolution method with similarities to Fourier analysis and wavelet analysis is introduced. Force reconstructions obtained using measured acceleration responses from beam and plate models are used to verify the method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Stevens, K.K., “Force Identification Problems: An Overview,” Proceedings of SEM Spring Meeting, Houston, 838–844 (1987).
Martin, M.T. andDoyle, J.F., “Impact Force Identification from Wave Propagation Responses,”Int. J. Impact Eng.,18,65–77 (1996).
Menke, W., Geophysical Data Analysis: Discrete Inverse Theory, Academic Press, Orlando (1984).
Press, W.H., Flannery, B.P., Teukolsky, S.A., andVetterling, W.T., Numerical Recipes, 2nd ed., Cambridge University Press, Cambridge (1992).
Doyle, J.F., “Further Developments in Determining the Dynamic Contact Law,” EXPERIMENTAL MECHANICS,24,265–270 (1984).
Doyle, J.F., “Determining the Contact Force During the Transverse Impact of Plates,” EXPERIMENTAL MECHANICS,27,68–72 (1987).
Doyle, J.F., “Experimentally Determining the Contact Force During the Transverse Impact of Orthotropic Plates,”J. Sound Vibration,118,441–448 (1987).
Rizzi, S.A. andDoyle, J.F., “Force Identification for Impact of a Layered System,”Computational Aspects of Impact and Penetration, L.E. Schwer andR.F. Kulak, eds., Elmepress International, Lausanne, Switzerland, 221–241 (1991).
Danial, A.N. and Doyle, J.F., “Force Identification on Folded Plate Structures,” Proc. SEM Spring Conference on Experimental Mechanics, Baltimore, 760–767 (1994, June).
Doyle, J.F. Wave Propagation in Structures, 2/E, Springer-Verlag, New York (1997).
Hollandsworth, P.E. andBusby, H.R., “Impact Force Identification Using the General Inverse Technique,”Int. J. Impact Eng.,8,315–322 (1989).
Daubechies, I., Ten Lectures on Wavelets, SIAM, Philadelphia, New York (1992).
Hilderbrand, F.B., Methods of Applied Mathematics, Prentice Hall, Englewood Cliffs, NJ (1965).
Danial, A.N. andDoyle, J.F., “Massively Parallel Implementation of the Spectral Element Method for Impact Problems in Plate Structure,”Comput. Sys. Eng.,5,375–388 (1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Doyle, J.F. A wavelet deconvolution method for impact force identification. Experimental Mechanics 37, 403–408 (1997). https://doi.org/10.1007/BF02317305
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02317305