Calibration of Structural Models Using Fuzzy Mathematics
 

Sara Wadia-Fascetti
    Assistant Professor, Northeastern University

H. Allison Smith
    Assistant Professor, Stanford University
 

ABSTRACT

A calibration model is presented that quantifies the uncertainties associated with structural free vibration analysis.  System identification objectives and fuzzy set mathematics are integrated to formulate an analysis methodology that enables the a priori prediction of the most probably sources of modeling error.  By first developing fundamental fuzzy sets defining uncertainty in structural parameters such as stiffness and design loading, higher-level fuzzy sets governing dynamic behavior are obtained using the vertex method.  Uncertainty in the dynamic parameters (natural frequency, frequency ration, and structural response) are each represented using fuzzy mathematics, where membership functions are determined by performing multiple dynamic analyses involving confidence levels of model assumptions.  A numerical example is presented to demonstrate the calibration model for a 13-story steel structure located in San Jose, California.  Results show that the calibration model is capable of quantifying uncertainties in structural properties and behavior without requiring the measured data necessary for conventional system identification procedures.

Contact Information:

Prof. S. Wadia-Fascetti (swf@neu.edu)
Dept. of Civil & Env. Engineering
Northeastern University
Boston, MA  02115

Reference:

Wadia-Fascetti, S. and Smith, H. A., (1996) “Calibration of Structural Models Using Fuzzy Mathematics.”  Microcomputers in Civil Engineering.  11 (1), pp. 19-35, January 1996.

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