By Moussa Karama; Joël Alexis
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Introduction The demand for high performance damping materials is rapidly and continuously growing in a variety of aerospace, mechanical and civil systems. Damping is an important parameter for vibration control, fatigue endurance, impact resistance, etc. Although the damping of composite materials is not very high; it is significantly higher than that measured for most usual metallic materials. At the constituent level, the energy dissipation in fibre reinforced composites is induced by different mechanisms such as the fibre- matrix interface, the damping due to defects or damage, etc.
C. Lima, F. P. de Lima. International Thermal Spray Conference-ASM International-TSS ITSC 2004, São Paulo / Brazil.  M. Factor, I. Roman. Surface and Coatings Technology, Volume 132 (2000) Issues 2-3, pp181193.  D. Chicot, P. Démarécaux, J. Lesage. Thin Solid Films, 283 (1996) 151-157. Key Engineering Materials Vol. Bergheul3, * *Laboratoire des sciences aéronautique, département d’aéronautique. Université Saad Dahleb, BP 270 route de soumaa, Blida, Algérie. fr Keywords : Asymmetrical environment, Moisture concentration, Hybrid Composite.
L: the length of the beam. S: the section of the beam. ρ: the density. K G B T K des B M G B T M des B (1) Where: B is the Boolean matrix. Kdes and Mdes are unassembled matrix, they contain only elementary matrix of mass and stiffness. K 1 0 K des e N 0 K e (2) 36 Behaviour of Materials M 1 0 M des e N 0 M e (3) Resolution of the eigenvalue problem We have two cases where the structure is: Undamaged, Damaged. The equation of motion (undamped and free vibration): m q t k q t 0 (4) The equation (4) can be written in matrix form: M q K q 0 (5) With: q: the vector of degrees of freedom, For the first case [K] = [KG], For the second case [K] = [KGD].