Quantitative approach for damage detection of reinforced concrete frames
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Abstract
The objective of this paper is to provide an analytical basis for the quantitative evaluation of damage to a reinforced concrete structure based on the vibration data obtained by using the damage detection technique. A partial reinforced concrete system of a weak beam/strong column moment frame is chosen as an example. A pushover analysis is carried out in order to numerically examine both the story shear-relative displacement characteristics and the associated damage level. In the analysis, a two dimensional nonlinear finite element analysis is employed considering several constitutive models. As a result, the degradation of the stiffness at the damaged story is characterized in association with the story relative displacement. It is also pointed out that the rotation angle of the column-base is highly correlated with the story relative displacement. Based on the analytical findings, quantitative approaches for a structural health monitoring system are suggested considering both the current sensor technologies and those available in the future.
Keywords
nonlinear FEM analysis structural health monitoring reinforced concrete structure story stiffness rotation angle of column-baseAppendix
- c
Maximum strength reduction coefficient under a large transverse strain
- Ec
Initial elastic modulus
- Fi
Force at the ith story
- f’c
Uniaxial compressive strength
- f’cef
Effective compressive strength associated with the biaxial stress
- f’tef
Effective tensile strength associated with the biaxial stress failure criterion
- GF
Fracture energy needed to create a unit area of stress-free crack
- mj
Story mass
- NL
Column axial force
- QH
Lateral force
- rc
Compressive strength reduction coefficient
- wc
Post-peak compressive displacement
- wccr
Limit displacement at the complete release of stress
- wt
Crack opening displacement
- wtcr
Crack opening displacement at the complete release of stress
- wp
Equivalent plastic displacement
- wpcr
Limit plastic displacement at the complete release of stress
- xj
Acceleration at the jth story
- εc
Compressive strain
- εc0
Strain at the peak stress
- εl
Transverse strain (crack opening strain)
- εpco
Equivalent plastic strain at the peak stress
- εp/eq
Equivalent plastic strain
- σc
Compressive stress
- σt
Normal stress in the crack
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