By James T. P. Yao (auth.), G. A. Keramidas, C. A. Brebbia (eds.)
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Additional info for Computational Methods and Experimental Measurements: Proceedings of the International Conference, Washington D.C., July 1982
G. (1982)/, including their applications. Contrary to many computed examples, using simulated test models there are only a few real applications. One can mention the adjustment of the stiffness matrix by identified eigenfrequencies of Skylab /Demchak,L. Harcrow (1976)/, the adjustment of the flexibility matrix by identified eigenfrequencies of a commercial airplane/Zimmermann, H. et al. G. Schulze (1981)/ by identified eigenfrequencies. -P. (1981)/. K. (1979)/. 4. MORE SOPHISTICATED ESTIMATION METHODS A major disadvantage of the WLS is their biased results.
9: Power spectrum of the crack oscillator It is clear that this classical crack detection cannot be applied if there are alternations in the mass distribution or elastic bedding of the structure. To 37 avoid such disadvantages, the above measured resonance frequency fR has to be separated into both crack frequencies f 1 and f so that the quadratic difference 2 g related to f 1 gives a direct measure for the loss of stiffness y without any influence of the structural mass. (6) A qualified measuring procedure is performed in two steps.
2) If verification is not achieved, the parameter estimation has to be carried out. The parameter to be estimated may be denoted by a:= faj} , j = 1 (1)J, ~ E RJ. ;-f (~). The compuEfc~ionel model then may be characterized by ~ 0 : ~ r 0 = ~ r (~ 0 ). The second step in indirect identification consists in defining an aim functional corresponding to the extended WLS: J(~l==~*T(~l~w~l~l+ (~-9_ 0 lT~ 0 (~-~ 0 ). (3) v*T denotes the conjugate complex and transposed residuum vector, ~w and ~a are positive definite weighting matrices of the orders mN and J respectively.