Identifying Unknown Dynamic Forces Applied on Two Dimensional Frames

A time domain approach is used in this paper to identify unknown dynamic forces applied on two dimensional frames using the measured dynamic structural responses for a sub-structure in the two dimensional frame. In this paper a sub-structure finite element model with short length of measurement from only three or four accelerometers is required, and an iterative least-square algorithm is used to identify the unknown dynamic force applied on the structure. Validity of the method is demonstrated with numerical examples using noise-free and noise-contaminated structural responses. Both harmonic and impulsive forces are studied. The results show that the proposed approach can identify unknown dynamic forces within very limited iterations with high accuracy and shows its robustness even noise- polluted dynamic response measurements are utilized.


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References:
[1] Kerschen G., Worden K., Vakakis A.F.and GolinvalJ. (2006), "Past, Present and Future of Nonlinear System Identification in Structural Dynamics” Journal of Mechanical Systems and Signal Processing, 20, pp. 505–592.
[2] Beck J., and Yuen K. (2004),”Model Selection Using Response Measurements: Bayesian Probabilistic Approach”, Journal of Engineering Mechanics, ASCE, Vol.130, No.2, pp. 192-203.
[3] Koh C.G, Chen Y.F, and Liaw C. Y. (2003),” A hybrid computational strategy for identification of structural parameters”, Journal of Computers and Structures, Vol.81, pp. 107-117.
[4] Hu N., Fukunaga H., Matsumoto S., Yan B., and Peng X.H. (2007)," An efficient approach for identifying impact force using embedded piezoelectric sensors", International Journal of Impact Engineering, Vol, 34, No. 7, pp. 1258-1271.
[5] Allen M., and Carne T. (2008)," Delayed, multi-step inverse structural filter for robust force identification", Mechanical Systems and Signal Processing, Vol. 22, No. 5, pp. 1036-1054.
[6] Yan G., and Zhou L.(2009)," Impact load identification of composite structure using genetic algorithms", Journal of Sound and Vibration, Vol. 319, No. 3–5, 23, pp. 869-884.
[7] Xu B., He J., Rovekamp R., and Dyke S. (2012)," Structural parameters and dynamic loading identification from incomplete measurements: Approach and validation", Mechanical Systems and Signal Processing, Vol. 28, pp.244-257.
[8] Wang D. and Haldar A. (1994) "An element level SI with unknown input information,” Journal of EngineeringMechanics, vol. 120, no. 1, pp. 159–176.
[9] SAP 2000 Structural Analysis Program, Berkeley, California.