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Abstract

Techniques for optimal control to increase system security attract a great deal of interest from industry. The presence of transversal cracks can considerably modify the dynamics of a system. In the case of closed-loop systems, i.e. controlled systems, these faults can cause the destabilization and variation of control performance. Consequently, such variations can be used to detect transversal cracks. Therefore, the present study proposes an investigation into the possibility of detecting structure modification based on estimated control performance by using the Rational Fraction Polynomial algorithm. This method is applied numerically to a multi-cracked controlled truss. Both the optimal control of the cracked structure and the possibility of detecting the presence of cracks by monitoring the evolution of control performance are studied. The efficiency of the proposed method is demonstrated through numerical simulations corresponding to different crack orientations and locations.

Keywords

Transversal cracks detection truss structure active control identification

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References

Badel

Guyomar

Lefeuvre

Richard

(2006) Piezoelectric energy harvesting using a synchronized switch technique. Journal of Intelligent Material Systems and Structures 17: 831–839.

Chomette

Chesne

Remond

Gaudiller

(2010) Damage reduction of on-board structures using piezoelectric components and active modal control—application to a printed circuit board. Mechanical Systems and Signal Processing 24: 390–397.

Chomette

Remond

Chesne

Gaudiller

(2008) Semi-adaptive modal control of on-board electronic boards using identification method. Smart Materials and Structures 17(6): 1–8.

Davies

Mayes

(1984) The vibrational behaviour of a multi-shaft, multi-bearing system in the presence of a propagating transverse crack. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design 106: 146–153.

Dilena

Morassi

(2002) Identification of crack location in vibrating beams from changes in node positions. Journal ofSound and Vibration 255: 915–930.

Doebling

Farrar

Prime

Shevitz

(1996) Damage Identification and Health Monitoring of Structural and Mechanical Systems from Changes in Their Vibration Characteristics: A Literature Review. Technical Report LA-13070-MS, Los Alamos National Laboratory.

Faverjon

Sinou

J-J

(2008) Robust damage assessment of multiple cracks based on the frequency response function and the constitutive relation error updating method. Journal of Sound and Vibration 312: 821–837.

Faverjon

Sinou

J-J

(2009) Identification of an open crack in a beam by using a posteriori error estimator on the frequency response functions with noisy measurements. European Journal of Mechanics – A/Solids 28: 75–85.

Gaudiller

Der Hagopian

(1996) Active control of flexible structures using a minimum number of components. Journal of Sound and Vibration 193: 713–741.

10.

Hac

Liu

(1993) Sensor and actuator location in motion control of flexibles structures. Journal of Sound and Vibration 137: 239–261.

11.

Lees

Friswell

(2001) The vibration signature of chordal cracks in asymmetric rotors. Proceedings of the 19th International Modal Analysis Conference (IMAC), Kissimmee, Florida. 1–6.

12.

Luenberger

(1971) An introduction to observers. IEEE Transactions on Automatic Control 16: 596–602.

13.

Preumont

(2002) Vibration Control of Active Structures: An Introduction, 2nd ed. Dordrecht: Springer/Kluwer Academic.

14.

Richardson

Formenti

(1985) Global curve fitting frequency response measurements using the rational fraction polynomial method. 1. Proceedings of the International Modal Analysis Conference and Exhibit (Union Coll, Schenectady, NY, USA)390–397.

15.

Salawu

(1997) Detection of structural damage through changes in frequency: a review. Engineering Structures 19: 718–723.

16.

Sinou

J-J

(2007) Damage assessment based on the frequencies' ratio surfaces intersection method for the identification of the crack depth, location and orientation. Structural Durability & Health Monitoring 3: 134–162.

17.

Sinou

J-J

(2009) A review of damage detection and health monitoring of mechanical systems from changes in the measurement of linear and non-linear vibrations. In: Sapri

(eds). Mechanical Vibrations: Measurement, Effects and Control. Nova Science Publishers.

18.

Sinou

J-J

Lees

(2005) The influence of cracks in rotating shafts. Journal of Sound and Vibration 285: 1015–1037.

19.

Sohn

Farrar

Hemez

Shunk

Stinemates

Nadler

(2003) A Review of Structural Health Monitoring Literature: 1996–2001. Technical Report LA-13976-MS, Los Alamos National Laboratory.

Crack detection based on optimal control

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