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Condition assessment of structures
under unknown support excitation
Zhang Kun1 , S. S. Law2 and Duan Zhongdong 1
1. School of Civil Engineering, Harbin Institute of Technology,
Harbin 150090, China
2. Civil and Structural Engineering Department, Hong Kong Polytechnic
University, Hung Hom, Kowloon, Hong Kong, China
Abstract: A new method is proposed to assess the condition of
structures under unknown support excitation by
simultaneously detecting local damage and identifying the support
excitation from several structural dynamic responses. The support
excitation acting on a structure is modeled by orthogonal polynomial
approximations, and the sensitivities of structural dynamic response
with respect to its physical parameters and orthogonal coefficients are
derived. The identification equation is based on Taylor¡¯s first order
approximation, and is solved with the damped least-squares method in an
iterative procedure. A fifteen-story shear building model and a
five-story three-dimensional steel frame structure are studied to
validate the proposed method. Numerical simulations with noisy measured
accelerations show that the proposed method can accurately detect local
damage and identify unknown support excitation from only several
responses of the structure. This method provides a new approach for
detecting structural damage and updating models with unknown input and
incomplete measured output information.
Keywords: condition assessment; damage detection; support
excitation; identification; dynamic response; sensitivity
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