Crack damage detection of reinforced concrete beams using local stiffness indicator

This paper described the application of the generalized solution for transverse vibration to detect crack damages in reinforced concrete beams. A single crack was induced in a full-scale reinforced concrete beam by application of a point load. The load was increased in stages to obtain different crack heights to represent the extent and severity of the defect. Experimental modal analysis was performed on the beam prior to application of the load and after each load stage. The mode shape equation for the beams was obtained by using nonlinear regression. Global flexural stiffness was derived by utilizing the regressed variablel into the equation for transverse vibration of a Bernoulli-Euler prismatic beam. Local flexural stiffness at each coordinate point was derived by substituting the regressed data at that point and by using the centered-finite-divided-difference formula. The global stiffness decreased with increased severity of the crack in the beam. The results were compared with values computed using the secant modulus from the load-deflection plot obtained upon loading at each load stage and the trend was similar. The proposed algorithm could form the basis of a technique for structural health monitoring of load induced damaged reinforced concrete structures.   Key words: crack damage, defect severity, local stiffness indicator, reinforced concrete beam, structural health monitoring.

[1]  S. Law,et al.  VIBRATION OF A BEAM WITH A BREATHING CRACK SUBJECT TO MOVING MASS , 2006 .

[2]  Z. J. Ma,et al.  Damage Detection for Simply Supported Beams Using Mid-Span Displacement Indicator , 2010 .

[3]  J. E. Chance,et al.  A Simplified Approach to the Numerical and Experimental Modelling of the Dynamics of a Cracked Beam , 1994 .

[4]  M I Friswell,et al.  USING VIBRATION DATA STATISTICAL MEASURES TO LOCATE DAMAGE IN STRUCTURES , 1994 .

[5]  G. De Roeck,et al.  Damage localization in reinforced concrete beams by dynamic stiffness determination , 1999 .

[6]  Kenneth W. Neale,et al.  Flexural behaviour of reinforced concrete beams strengthened with prestressed carbon composites , 2009 .

[7]  P. Gudmundson Eigenfrequency changes of structures due to cracks, notches or other geometrical changes , 1982 .

[8]  Nal,et al.  Reinforcement of beams by using carbon fiber reinforced polimer in concrete buildings , 2009 .

[9]  Tae W. Lim,et al.  Structural damage detection using modal test data , 1991 .

[10]  J. R. Houghton,et al.  Damage Location in Structures Using Vibration Data and Its Sensitivity to Measurement Errors , 1995 .

[11]  C. Ratcliffe DAMAGE DETECTION USING A MODIFIED LAPLACIAN OPERATOR ON MODE SHAPE DATA , 1997 .

[12]  Genda Chen,et al.  Damage Detection of Reinforced Concrete Beams with Novel Distributed Crack/Strain Sensors , 2004 .

[13]  T. Jávor Damage classification of concrete structures. The state of the art report of RILEM Technical Committee 104-DCC activity , 1991 .

[14]  Tai-Yan Kam,et al.  DETECTION OF CRACKS IN STRUCTURES USING MODAL TEST DATA , 1992 .

[15]  Norris Stubbs,et al.  Non-destructive damage evaluation of a structure from limited modal parameters , 1995 .

[16]  Colin H. J. Fox,et al.  The location of defects in structures - A comparison of the use of natural frequency and mode shape data , 1992 .

[17]  Norris Stubbs,et al.  Damage Localization in Structures Without Baseline Modal Parameters , 1996 .

[18]  N Stubbs,et al.  NONDESTRUCTIVE DAMAGE EVALUATION IN COMPLEX STRUCTURES FROM A MINIMUM OF MODAL PARAMETERS , 1995 .

[19]  Pei-Ling Liu,et al.  Identification and Damage Detection of Trusses Using Modal Data , 1995 .

[20]  An experimental study on the use of dynamic tests for surveillance of concrete structures , 1994 .

[21]  Antonino Morassi,et al.  Localizing a Notch in a Steel Frame from Frequency Measurements , 1997 .

[22]  Arun Kumar Pandey,et al.  Damage detection from changes in curvature mode shapes , 1991 .

[23]  Siu-Seong Law,et al.  Nonlinear Characteristics of Damaged Reinforced Concrete Beam from Hilbert-Huang Transform , 2007 .

[24]  Mevlut Yasar Kaltakci,et al.  An experimental study of steel fibre reinforced concrete columns under axial load and modeling by ANN , 2010 .

[25]  Walter M. West,et al.  Illustration of the use of modal assurance criterion to detect structural changes in an Orbiter test specimen , 1986 .

[26]  Robert D. Adams,et al.  The location of defects in structures from measurements of natural frequencies , 1979 .

[27]  Nikos A. Aspragathos,et al.  Identification of crack location and magnitude in a cantilever beam from the vibration modes , 1990 .

[28]  Y. Narkis Identification of Crack Location in Vibrating Simply Supported Beams , 1994 .

[29]  J. G. Bouwkamp,et al.  Damage Detection in Offshore Platforms Using Vibration Information , 1986 .

[30]  T. C. Huang,et al.  The Sensitivity Study of the Modal Parameters of a Cracked Beam , 1994 .

[31]  G Koenig,et al.  IDENTIFICATION OF STRUCTURAL PROPERTIES USING DYNAMIC TESTS , 1989 .