Damage localization using experimental modal parameters and topology optimization

This work focuses on the developement of a damage detection and localization tool using the Topology Optimization feature of MSC.Nastran. This approach is based on the correlation of a local stiness loss and the change in modal parameters due to damages in structures. The loss in stiness is accounted by the Topology Optimization approach for updating undamaged numerical models towards similar models with embedded damages. Hereby, only a mass penalization and the changes in experimentally obtained modal parameters are used as objectives. The theoretical background for the implementation of this method is derived and programmed in a Nastran input file and the general feasibility of the approach is validated numerically, as well as experimentally by updating a model of an experimentally tested composite laminate specimen. The damages have been introduced to the specimen by controlled low energy impacts and high quality vibration tests have been conducted on the specimen for dierent levels of damage. These supervised experiments allow to test the numerical diagnosis tool by comparing the result with both NDT technics and results of previous works (concerning shifts in modal parameters due to damage). Good results have finally been archieved for the localization of the damages by the Topology Optimization.

[1]  Dimitris A. Saravanos,et al.  EFFECTS OF DELAMINATIONS ON THE DAMPED DYNAMIC CHARACTERISTICS OF COMPOSITE LAMINATES: ANALYSIS AND EXPERIMENTS , 1996 .

[2]  Angel Moises Iglesias,et al.  Investigating Various Modal Analysis Extraction Techniques to Estimate Damping Ratio , 2000 .

[3]  Joseph Morlier,et al.  Significance of Low Energy Impact Damage on Modal Parameters of Composite Beams by Design of Experiments , 2009 .

[4]  Z. Zhang,et al.  Relation of damping and fatigue damage of unidirectional fibre composites , 2002 .

[5]  R. Protz,et al.  Fatigue failure criteria and degradation rules for composites under multiaxial loadings , 2006 .

[6]  M. Bendsøe.  Optimal shape design as a material distribution problem , 1989 .

[7]  Jae-Eun Kim,et al.  Damage detection by the topology design formulation using modal parameters , 2007 .

[8]  Joseph Morlier,et al.  Correlating Low-energy Impact Damage with Changes in Modal Parameters: A Preliminary Study on Composite Beams , 2009 .

[9]  J. C. Townsend,et al.  Very Large Scale Optimization , 2000 .

[10]  David J. Ewins,et al.  Modal Testing: Theory, Practice, And Application , 2000 .

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

[12]  H. P. Yin.  A new theoretical basis for the bandwidth method and optimal power ratios for the damping estimation , 2008 .

[13]  R. Gadelrab,et al.  THE EFFECT OF DELAMINATION ON THE NATURAL FREQUENCIES OF A LAMINATED COMPOSITE BEAM , 1996 .

[14]  Hoon Sohn,et al.  A review of structural health monitoring literature 1996-2001 , 2002 .

[15]  Raymond Panneton,et al.  New approach for the measurement of damping properties of materials using the Oberst beam , 2004 .

[16]  E. Peter Carden,et al.  Vibration Based Condition Monitoring: A Review , 2004 .

[17]  V. Li,et al.  Influence of Fiber/Matrix Interface Properties on Complementary Energy and Composite Damage Tolerance , 1997 .

[18]  H. Yin,et al.  An average inverse power ratio method for the damping estimation from a frequency response function , 2010 .

[19]  Peter Avitabile.  Experimental modal analysis : A simple non-mathematical presentation , 2001 .

[20]  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 .

[21]  Brian Schwarz,et al.  Experimental modal analysis , 1999 .

[22]  P. Guillaume,et al.  The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation? , 2004 .

[23]  O. S. Salawu.  Detection of structural damage through changes in frequency: a review , 1997 .

[24]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[25]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[26]  N. Kikuchi,et al.  Structural topology and shape optimization for a frequency response problem , 1993 .

[27]  G. G. Kulikov,et al.  Optimal spectral resolution in system identification , 2003, Autom..

[28]  Gerard C. Pardoen,et al.  Effect of Delamination on the Natural Frequencies of Composite Laminates , 1989 .

[29]  David L. Brown,et al.  Parameter Estimation Techniques for Modal Analysis , 1979 .

[30]  Peter Avitabile,et al.  Modal and operating characterization of an Optical telescope , 2001 .

[31]  Joseph Morlier,et al.  Original Statistical Approach for the Reliability in Modal Parameters Estimation , 2009 .

[32]  D. Roylance.  INTRODUCTION TO COMPOSITE MATERIALS , 2000 .

[33]  M. Richardson,et al.  Global Curve Fitting of Frequency Response Measurements using the Rational Fraction Polynomial Method , 1997 .

[34]  Li Cheng,et al.  Development in vibration-based structural damage detection technique , 2007 .

[35]  Charles R. Farrar,et al.  A summary review of vibration-based damage identification methods , 1998 .

[36]  Steve Vanlanduit,et al.  The use of multisine excitations to characterise damage in structures , 2004 .

[37]  Constantinos Soutis,et al.  Mechanisms of Internal Damage and Their Effect on the Behavior and Properties of Cross-Ply Composite Laminates , 2002 .

[38]  M. A. Mannan,et al.  CORRELATING MINUTE STRUCTURAL FAULTS WITH CHANGES IN MODAL PARAMETERS , 1993 .

[39]  Pierre Soille,et al.  Morphological Image Analysis: Principles and Applications , 2003 .

[40]  Joseph Morlier,et al.  Damage monitoring in sandwich beams by modal parameter shifts: a comparative study of burst random and sine dwell vibration testing , 2010 .

[41]  A. M. R. Ribeiro,et al.  A review of vibration-based structural health monitoring with special emphasis on composite materials , 2006 .

[42]  Grant P. Steven,et al.  VIBRATION-BASED MODEL-DEPENDENT DAMAGE (DELAMINATION) IDENTIFICATION AND HEALTH MONITORING FOR COMPOSITE STRUCTURES — A REVIEW , 2000 .