Transmissibility of nonlinear output frequency response functions with application in detection and location of damage in MDOF structural systems

Z.Q. Lang (1) , G. Park (2) , C.R. Farrar (2) , M.D. Todd (3) , Z. Mao (3) , L. Zhao (1) , K. Worden (4)

1 Department of Automatic Control and Systems Engineering
2 The Engineering Institute
3 UC San Diego - Department of Structural Engineering [Univ California San Diego]
4 Department of Mechanical Engineering [Sheffield]

Transmissibility is a well-known linear system concept that has been widely applied in the diagnosis of damage in various engineering structural systems. However, in engineering practice, structural systems can behave nonlinearly due to certain kinds of damage such as, e.g., breathing cracks. In the present study, the concept of transmissibility is extended to the nonlinear case by introducing the Transmissibility of Nonlinear Output Frequency Response Functions (NOFRFs). The NOFRFs are a concept recently proposed by the authors for the analysis of nonlinear systems in the frequency domain. A NOFRF transmissibility-based technique is then developed for the detection and location of both linear and nonlinear damage in MDOF structural systems. Numerical simulation results verify the effectiveness of the new technique. Experimental studies on a three-storey building structure demonstrate the potential to apply the developed technique to the detection and location of damage in practical MDOF engineering structures.

Mots clés: Transmissibility; Nonlinear MDOF systems; Damage detection and location

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

Z.Q. Lang, G. Park, C.R. Farrar, M.D. Todd, Z. Mao, et al.. Transmissibility of nonlinear output frequency response functions with application in detection and location of damage in MDOF structural systems. International Journal of Non-Linear Mechanics, 2011, ⟨10.1016/j.ijnonlinmec.2011.03.009⟩. ⟨hal-00753958⟩