KEYWORDS: Earthquakes, Damage detection, Finite element methods, Chemical elements, Complex systems, Sensors, Data modeling, Systems modeling, Lithium, System identification
Many civil and mechanical engineering structures exhibit nonlinear hysteretic behavior when subject to dynamic loads,
such as earthquakes. The modeling and identification of non-linear hysteretic systems with stiffness and strength
degradations is a practical but challenging problem encountered in the engineering field. A recently developed
technique, referred to as the adaptive quadratic sum-square error with unknown inputs (AQSSE-UI), is capable of
identifying time dependant parameters of nonlinear hysteretic structures. In this paper, the AQSSE-UI technique is
applied to the parametric identification of nonlinear hysteretic reinforced concrete structures with stiffness and strength
degradations, and the performance of the AQSSE technique is demonstrated by the experimental test data. A 1/3 scaled
2-story RC frame has been tested experimentally on the shake table at NCREE, Taiwan. This 2-story RC frame was
subject to different levels of ground excitations back to back. The structure is firstly considered as an equivalent linear
model with time-varying stiffness parameters, and the tracking of the degradation of the stiffness parameters is carried
out using the AQSSE-UI technique. Then the same RC frame is considered as a nonlinear hysteretic model with inelastic
hinges following the generalized Bouc-Wen model, and the time-varying nonlinear parameters are identified again using
the AQSSE-UI technique. Experimental results demonstrate that the AQSSE technique is quite effective for the tracking
of: (i) the stiffness degradation of linear structures, and (ii) the non-linear hysteretic parameters with stiffness and
strength degradations.
It is well-known that the damage in a structure is a local phenomenon. Based on measured vibration data from sensors,
the detection of a structural damage requires the finite-element formulation for the equations of motion, so that a change
of any stiffness in a structural element can be identified. However, the finite-element model (FEM) of a complex
structure involves a large number of degree-of-freedom (DOFs), which requires a large number of sensors and involves a
heavy computational effort for the identification of structural damages. To overcome such a challenge, we propose the
application of a reduced-order model in conjunction with a recently proposed damage detection technique, referred to as
the adaptive quadratic sum-square error with unknown inputs (AQSSE-UI). Experimental data for the shake table tests
of a 1/4-scal 6-story steel frame structure, in which the damages of the joints were simulated by loosening the connection
bolts, have been available recently. Based on these experimental data, it is demonstrated that the proposed combination
of the reduced-order finite-element model and the adaptive quadratic sum-square error with unknown inputs is quite
effective for the damage assessment of joints in the frame structure. The proposed method not only can detect the
damage locations but also can quantify the damage severities.
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