The study presented in this thesis aims to explore other ways of vibration reduction in structures with bolted connections. The first way studied is based on the energy dissipation provided by the deformation of piezoelectric elements connected to an adapted electric circuit. The proposed second way is based on the property of the bolted joint of changing the natural frequencies of a structure according to the applied tightening force. This property is used via several control laws to avoid vibration on critical frequency ranges.Thereafter a probabilistic study is made to determine the robustness of the vibration reduction in relation to a variation of some model parameters. The robustness study is done through non-intrusive stochastic methods, among them a dedicated method that we propose. A stochastic model reduction is allowed which reduces dramatically the computation time without losing quality of stochastic results.
