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Structural Engineering and Mechanics
  Volume 67, Number 4, August25 2018, pages 359-368

Structural identification based on substructural technique and using generalized BPFs and GA
Hosein Ghaffarzadeh, T.Y. Yang and Yaser Hosseini Ajorloo

    In this paper, a method is presented to identify the physical and modal parameters of multistory shear building based on substructural technique using block pulse generalized operational matrix and genetic algorithm. The substructure approach divides a complete structure into several substructures in order to significantly reduce the number of unknown parameters for each substructure so that identification processes can be independently conducted on each substructure. Block pulse functions are set of orthogonal functions that have been used in recent years as useful tools in signal characterization. Assuming that the input-outputs data of the system are known, their original BP coefficients can be calculated using numerical method. By using generalized BP operational matrices, substructural dynamic vibration equations can be converted into algebraic equations and based on BP coefficient for each story can be estimated. A cost function can be defined for each story based on original and estimated BP coefficients and physical parameters such as mass, stiffness and damping can be obtained by minimizing cost functions with genetic algorithm. Then, the modal parameters can be computed based on physical parameters. This method does not require that all floors are equipped with sensor simultaneously. To prove the validity, numerical simulation of a shear building excited by two different normally distributed random signals is presented. To evaluate the noise effect, measurement random white noise is added to the noise-free structural responses. The results reveal the proposed method can be beneficial in structural identification with less computational expenses and high accuracy.
Key Words
    identification; substructural technique; block pulse operational matrix; genetic algorithm; noise effect
Hosein Ghaffarzadeh: Department of Structural Engineering, University of Tabriz, Tabriz, Iran
T.Y. Yang: Department of Civil Engineering, University of British Columbia, 6250 Applied Science Lane, Vancouver, BC V6T 1Z4, Canada
Yaser Hosseini Ajorloo: Department of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran

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