Intelligent Fuzzy Input Estimator for the Input Force on the Rigid Bar Structure System
The intelligent fuzzy input estimator is used to estimate
the input force of the rigid bar structural system in this study. The
fuzzy Kalman filter without the input term and the fuzzy weighting
recursive least square estimator are two main portions of this method.
The practicability and accuracy of the proposed method were verified
with numerical simulations from which the input forces of a rigid bar
structural system were estimated from the output responses. In order to
examine the accuracy of the proposed method, a rigid bar structural
system is subjected to periodic sinusoidal dynamic loading. The
excellent performance of this estimator is demonstrated by comparing
it with the use of difference weighting function and improper the
initial process noise covariance. The estimated results have a good
agreement with the true values in all cases tested.
[1] P. E. Hollandsworth, and H. R. Busby, "Impact force identification using
the general inverse technique," International Journal of Impact
Engineering, vol. 8, pp. 315-322, 1989.
[2] H. R. Busby, and D. M. Trujillo, "Numerical solution to a twodimensional
heat conduction problem," International Journal for
Numerical Methods in Engineering, vol. 21, pp. 349-359, 1985.
[3] M. L. Wang, T. J. Kreitinger, "Identification of force from response data
of a nonlinear system," Soil Dynamics and Earthquake Eng., vol. 13, pp.
267-280, 1994.
[4] H. Inoue, N. Ikeda, K. Kishimto, T. Shibuya, and T. Koizumi, "Inverse
analysis of the magnitude and direction of impact force," JSME Int. J.,
Series A, vol. 38, pp.84-91, 1995.
[5] C. H. Huang, "A Generalized Inverse Force Vibration Problem for
simultaneously estimating the time-dependent external forces," Applied
Mathematical Modelling, vol.29, pp. 1022-1039. 2005.
[6] J. F. Doyle, "A genetic algorithm for determining the location of structural
impacts", Exp. Mech.,, vol. 34, no. 1, pp. 37-44, 1994.
[7] M. T. Martin, and J. F. Doyle, (1996), "Impact force location in frame
structures", Int. J. of Impact Eng., vol. 18, no. 1, pp. 79-97, 1996.
[8] P. C. Tuan, S. C. Lee, and W. T. Hou, "An efficient on-line thermal input
estimation method using Kalman Filter and recursive least square
algorithm," Inverse Problem Eng., vol. 5, pp. 309-333, 1997.
[9] P. C. Tuan and W. T. Hou, "Adaptive robust weighting input estimation
method for the 1-D inverse heat conduction problem," Numer. Heat
Transfer, vol. 34, pp. 439-456, 1998.
[10] M. H. Lee, and T. C. Chen, "Blast load input estimation of the Medium
Girder Bridge using inverse method," Defence Science Journal, Vol. 58,
no. 1, pp. 46-56, 2008.
[11] T. C. Chen, and M. H. Lee, "Inverse active wind load inputs estimation of
the multilayer shearing stress structure," Wind and Structures, An
International Journal vol. 11, no. 1, pp.19-33, 2008.
[12] T. C. Chen, and M. H. Lee, "Research on moving force estimation of the
bridge structure using the adaptive input estimation method," Electronic
Journal of Structural Engineering vol. 8, pp.20-28, 2008.
[13] P. C. Tuan, L. W. Fong, and W. T. Huang, "Analysis of On-Line Inverse
Heat Conduction Problems," Journal of Chung Cheng Institute of
Technology, vol. 25, no. 1, pp. 59 -73, 1996.
[14] P. Mario, Dynamics of Structures, Hsiao-Yuan Publication Company
Limited; 1986.
[15] L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability
Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1994.
[1] P. E. Hollandsworth, and H. R. Busby, "Impact force identification using
the general inverse technique," International Journal of Impact
Engineering, vol. 8, pp. 315-322, 1989.
[2] H. R. Busby, and D. M. Trujillo, "Numerical solution to a twodimensional
heat conduction problem," International Journal for
Numerical Methods in Engineering, vol. 21, pp. 349-359, 1985.
[3] M. L. Wang, T. J. Kreitinger, "Identification of force from response data
of a nonlinear system," Soil Dynamics and Earthquake Eng., vol. 13, pp.
267-280, 1994.
[4] H. Inoue, N. Ikeda, K. Kishimto, T. Shibuya, and T. Koizumi, "Inverse
analysis of the magnitude and direction of impact force," JSME Int. J.,
Series A, vol. 38, pp.84-91, 1995.
[5] C. H. Huang, "A Generalized Inverse Force Vibration Problem for
simultaneously estimating the time-dependent external forces," Applied
Mathematical Modelling, vol.29, pp. 1022-1039. 2005.
[6] J. F. Doyle, "A genetic algorithm for determining the location of structural
impacts", Exp. Mech.,, vol. 34, no. 1, pp. 37-44, 1994.
[7] M. T. Martin, and J. F. Doyle, (1996), "Impact force location in frame
structures", Int. J. of Impact Eng., vol. 18, no. 1, pp. 79-97, 1996.
[8] P. C. Tuan, S. C. Lee, and W. T. Hou, "An efficient on-line thermal input
estimation method using Kalman Filter and recursive least square
algorithm," Inverse Problem Eng., vol. 5, pp. 309-333, 1997.
[9] P. C. Tuan and W. T. Hou, "Adaptive robust weighting input estimation
method for the 1-D inverse heat conduction problem," Numer. Heat
Transfer, vol. 34, pp. 439-456, 1998.
[10] M. H. Lee, and T. C. Chen, "Blast load input estimation of the Medium
Girder Bridge using inverse method," Defence Science Journal, Vol. 58,
no. 1, pp. 46-56, 2008.
[11] T. C. Chen, and M. H. Lee, "Inverse active wind load inputs estimation of
the multilayer shearing stress structure," Wind and Structures, An
International Journal vol. 11, no. 1, pp.19-33, 2008.
[12] T. C. Chen, and M. H. Lee, "Research on moving force estimation of the
bridge structure using the adaptive input estimation method," Electronic
Journal of Structural Engineering vol. 8, pp.20-28, 2008.
[13] P. C. Tuan, L. W. Fong, and W. T. Huang, "Analysis of On-Line Inverse
Heat Conduction Problems," Journal of Chung Cheng Institute of
Technology, vol. 25, no. 1, pp. 59 -73, 1996.
[14] P. Mario, Dynamics of Structures, Hsiao-Yuan Publication Company
Limited; 1986.
[15] L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability
Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1994.
@article{"International Journal of Architectural, Civil and Construction Sciences:60572", author = "Ming-Hui Lee and Tsung-Chien Chen and Yuh-Shiou Tai", title = "Intelligent Fuzzy Input Estimator for the Input Force on the Rigid Bar Structure System", abstract = "The intelligent fuzzy input estimator is used to estimate
the input force of the rigid bar structural system in this study. The
fuzzy Kalman filter without the input term and the fuzzy weighting
recursive least square estimator are two main portions of this method.
The practicability and accuracy of the proposed method were verified
with numerical simulations from which the input forces of a rigid bar
structural system were estimated from the output responses. In order to
examine the accuracy of the proposed method, a rigid bar structural
system is subjected to periodic sinusoidal dynamic loading. The
excellent performance of this estimator is demonstrated by comparing
it with the use of difference weighting function and improper the
initial process noise covariance. The estimated results have a good
agreement with the true values in all cases tested.", keywords = "Fuzzy Input Estimator, Kalman Filter, RecursiveLeast Square Estimator.", volume = "4", number = "5", pages = "123-7", }