Identification of damage in beam and plate structures using parameter‐dependent frequency changes

Damage of a structure affects its stiffness properties and induces a shift in the free frequency spectrum. In the paper, an additional parameter is introduced, such as concentrated elastic or rigid support and mass. The evolution of natural frequencies is analyzed for varying parameter values with respect to damage location. This frequency variation is used in assessing the location and magnitude of damage by introducing the damage indices or by solving the identification problem requiring the minimization of the parameter dependent distance functional. The first part of the paper is concerned with the sensitivity analysis of damage indices with respect to support or mass location. The second part deals with the identification problem for which the specific examples are treated.

[1]  G. D. Jeong,et al.  Identification of Stiffness Reductions Using Natural Frequencies , 1995 .

[2]  Zenon Mróz,et al.  On a class of conservation rules associated with sensitivity analysis in linear elasticity , 1986 .

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

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

[5]  A. K. Pandey,et al.  Damage Detection in Structures Using Changes in Flexibility , 1994 .

[6]  D. E. Katsareas,et al.  Crack identification in frame structures , 1997 .

[7]  Nenad Bićanić,et al.  Damage identification in framed structures using natural frequencies , 1997 .

[9]  Seamus D. Garvey,et al.  Parameter subset selection in damage location , 1997 .

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

[11]  R. B. Testa,et al.  Modal Analysis for Damage Detection in Structures , 1991 .

[12]  David R. Owen,et al.  An introduction to finite element computations , 1979 .

[13]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[14]  Charles R. Farrar,et al.  Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review , 1996 .

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

[16]  G. D. Jeong,et al.  Assessment of structural damage from natural frequency measurements , 1993 .

[17]  Tomasz Lekszycki,et al.  On Optimal Support Reaction in Viscoelastic Vibrating Structures , 1983 .

[18]  Sensitivity of Buckling Load and Vibration Frequency with Respect to Shape of Stiffened and Unstiffened Plates , 1989 .

[19]  L. Berke,et al.  A method for system identification using the optimality criteria optimization approach , 1994 .

[20]  C. Fritzen,et al.  DAMAGE DETECTION BASED ON MODEL UPDATING METHODS , 1998 .

[21]  George C. Yao,et al.  Damage diagnosis of steel frames using vibrational signature analysis , 1992 .