On the optimal location of sensors for parametric identification of linear structural systems

Abstract An outline of the field of optimal location of sensors for parametric identification of linear structural systems is presented. There are few papers devoted to the case of optimal location of sensors in which the measurements are modeled by a random field with non-trivial covariance function. It is assumed most often that the results of the measurements are statistically independent random variables. In an example the importance of considering the measurements as statistically dependent random variables is shown. The covariance of the model parameters expected to be obtained is investigated with variations in the number and location of sensors. Further, the influence of noise on the optimal location of the sensors is investigated. It is found that the optimal locations of sensors seem to become less sensitive to e.g. the noise-to-signal ratio within increasing number of sensors.

[1]  J. I.  The Design of Experiments , 1936, Nature.

[2]  W. J. Studden,et al.  Theory Of Optimal Experiments , 1972 .

[3]  R. B. Matthiesen,et al.  Earthquake Response and Instrumentation of Buildings , 1977 .

[4]  Firdaus E. Udwadia,et al.  A Methodology for Optimal Sensor Locations for Identification of Dynamic Systems , 1978 .

[5]  J.-N. Juang,et al.  Formulations and applications of large structure actuator and sensor placements , 1979 .

[6]  STRUCTURAL PARAMETER IDENTIFICATION OF MEMBER CHARACTERISTICS IN A FINITE-ELEMENT MODEL , 1979 .

[7]  R. K. Mehra,et al.  CHOICE OF INPUT SIGNALS , 1981 .

[8]  E. Rafajłowicz.  Design of experiments for eigenvalue identification in distributed-parameter systems , 1981 .

[9]  G. Schulz,et al.  Dislocated actuator/sensor positioning and feedback design for flexible structures , 1983 .

[10]  Axel Munack.  Optimal sensor allocation for identification of unknown parameters in a bubble-column loop bioreactor , 1984 .

[11]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[12]  Kazimierz Sobczyk.  Theoretic Information Approach to Identification and Signal Processing , 1987 .

[13]  Fred Y. Hadaegh,et al.  Optimal experiment design for identification of large space structures , 1988, Autom..

[14]  Optimal experiment design; vibrating beam under random loading , 1989 .

[15]  Zbigniew Kotulski.  Optimization of sensors' location in a stochastic extrapolation problem , 1990 .

[16]  Poul Henning Kirkegaard.  Optimal Design of Experiments for Parametric Identification of Civil Engineering Structures , 1991 .

[17]  Graham C. Goodwin,et al.  Identification: Experiment Design , 1992, Concise Encyclopedia of Modelling & Simulation.

[18]  Steen Krenk,et al.  Analytical Model for Fictitious Crack Propagation in Concrete Beams , 1995 .