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18 August 2003 Identifying dynamic parameters of a structure using simplex method
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A new method for identifying dynamic parameters of a structure by measuring its first several frequencies and mode shapes is presented in this paper. Accurate estimates of the dynamic characteristics of a structure using limited measurement data are necessary for applications such as damage localization and finite element model verification. This method is developed from the unconstrained simplex method by introducing some pratical constraint conditions. The approach is not limited by either the minimum order of required eigenvalue and eigenvector pairs or the completeness of each order, for instance, even only a subset of frequencies or mode shapes are sufficient for a given order to yield acceptable identification results. Two numerical examples for identifying the stiffness distribution of a ten-story shear building under different health conditions are provided. The identified stiffness agrees with the physical model quite well. It is shown that this method has the advantages of good accuracy in calculation and great potentiality for most applications in similar structures or areas due to the fact that it is not only very robust but also not so strict with measurement methods and the amount of required information in field tests.
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Su-Yan Wang, Hong-Nan Li, and Dong-Sheng Li "Identifying dynamic parameters of a structure using simplex method", Proc. SPIE 5057, Smart Structures and Materials 2003: Smart Systems and Nondestructive Evaluation for Civil Infrastructures, (18 August 2003);

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