Crack detection based on optimal control

Baptiste Chomette (1, 2) , Jean-Jacques Sinou (2)

1 DALEMBERT - Institut Jean Le Rond d'Alembert
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

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(RFP) algorithm. This method is applied numerically to a multi-cracked controlled truss. Both the optimal control of thecracked structure and the possibility of detecting the presence of cracks by monitoring the evolution of control performanceare studied. The efficiency of the proposed method is demonstrated through numerical simulations correspondingto different crack orientations and locations.

Mots clés: vibration; crack detection; optimal control

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Mécanique [physics.med-ph]; Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Baptiste Chomette, Jean-Jacques Sinou. Crack detection based on optimal control. Journal of Vibration and Control, 2012, 18 (11), pp.1737 - 1749. ⟨10.1177/1077546311429839⟩. ⟨hal-00729343⟩