Identification method of Non Linear Generalized Maxwell Model for viscoelastic components

Jean-Luc Dion (1, 2) , Hanen Jrad (2, 3) , Franck Renaud (2, 1) , Imad Tawfiq (2, 1)

1 QUARTZ - Laboratoire QUARTZ
2 SUPMECA - SUPMECA - Institut supérieur de mécanique de Paris
3 ENIS - École Nationale d'Ingénieurs de Sfax | National School of Engineers of Sfax

The dynamic characteristics of viscoelastic components depend on frequency, amplitude, preload, and temperature. A Non Linear Generalized Maxwell Model (NLGMM), with only 4 independent parameters is proposed. The proposed NLGMM is based on the decomposition between the linear viscoelasticity and the non linear stiffness. This assumption is validated on a large range of experimental measures. The efficiency of the NLGMM is shown for different kinds of excitations in non linear dynamics : periodic, transient or random excitations. The non linear stiffness is represented by a simple polynomial function. Comparisons between measures and computed values have been carried on several viscoelastic samples. The NLGMM shows a good accordance with experimental results.

Mots clés: DMA tests; Generalized Maxwell Model; non linear viscoelasticity; identification technique

Domaines: Mécanique [physics]

Jean-Luc Dion, Hanen Jrad, Franck Renaud, Imad Tawfiq. Identification method of Non Linear Generalized Maxwell Model for viscoelastic components. CFM 2015 - 22ème Congrès Français de Mécanique, AFM, Aug 2015, Lyon, France. ⟨hal-03446442⟩