Vibration Base Identification of Impact Force Using Genetic Algorithm

Authors: R. Hashemi, M.H.Kargarnovin

Abstract:

This paper presents the identification of the impact force acting on a simply supported beam. The force identification is an inverse problem in which the measured response of the structure is used to determine the applied force. The identification problem is formulated as an optimization problem and the genetic algorithm is utilized to solve the optimization problem. The objective function is calculated on the difference between analytical and measured responses and the decision variables are the location and magnitude of the applied force. The results from simulation show the effectiveness of the approach and its robustness vs. the measurement noise and sensor location.

Keywords: Genetic Algorithm, Inverse problem, Optimization, Vibration.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060539

References:

[1] K. K. Stevens, "Force identification problems (an overview)", Proc. of the SEM Conf. on Experimental Mechanics, pp. 838-844. Houston, TX, June, 1987.
[2] T.H.T. Chan, L.Yu, S.S. Law and T.H. Yung, "Moving force identification studies, I: theory", J. of Sound and Vib., vol. 247, pp. 59-76, 2001.
[3] T.H.T. Chan, L. Yu, S.S. Law and T.H.Yung, "Moving force identification studies, II: comparative studies", J. of Sound and Vibration; vol.247, pp.. 77- 95, 2001.
[4] X.Q. Zhu, S.S. Law, "Moving load identification on multi-span continuous bridges with elastic bearings", Mechanical Systems and Signal Processing, vol. 20, pp. 1759-1782, 2006.
[5] O. Iohn Callahan, F. Piergenitili, "Force estimation using operational data", Proc. of 8th International Modal analysis Conf., pp. 1586-1592, 1994.
[6] E. Parloo, P. Verboven, P. Guillaume, Van Overmeire M., "Force Identification by Means of operation Modal Models", Proc. of the 20th International Modal Analysis Conf., Los Angeles, California, 2002.
[7] B. T. Wang, C.H. Chiu, "Determination of unknown impact force acting on a simply supported beam", Mechanical System and Signal Processing, vol. 17, pp. 683-704, 2003.
[8] B. T. Wang, C. H. Chiu,"Prediction of Harmonic force acting on cantilever beam", Proc. of 21st International Modal analysis Conf., pp. 1230-1241. 2004.
[9] A.N. Thite, D.J. Thompson, "Selection of response measurement locations to improve inverse force determination", Applied Acoustics, vol. 67, pp. 797- 818, 2006.
[10] J. Zhu, Z. Lu, "A time domain method for identifying dynamic loads on continuous systems", J. of Sound and Vib., vol. 148, pp. 137-146, 1991.
[11] J. E. R. Flores, F. A. C. Viana, D. A. Rade, V. S. Jr, "Identification of external forces in mechanical systems by using LifeCycle model and stressstiffening effect", Mechanical Systems and Signal Processing, vol. 21, pp. 2900-2917, 2007.
[12] T. Obata, Y. Miyamori, "Identification of a human walking force model based on dynamic monitoring data from pedestrian bridges", Computers and Structures, vol. 84, pp. 541-548, 2006.
[13] J. H. Holland, "Adaptation in natural and artificial system", University of Michigan Press, Ann Arbor, MI, 1975.
[14] Z. Michalewicz, "Genetic Algorithm+Data Structures=Evolution Programs", Springer-Verlag, AI Series, New York, 1992.