“…Gas turbines are the most important pivotal rotating machines belonging to the family of internal combustion engines that are used intensively in oil and gas industrial plants. Indeed, it is used to achieve the main function of generating mechanical energy in form of shaft rotation from kinetic energy of gases produced in the combustion chamber (Djaidir et al, 2015(Djaidir et al, , 2016Djeddi et al, 2015Djeddi et al, , 2016Eshati et al, 2013;Jurado and Carpio, 2006;Kim et al, 2011). However, these machines are subject to some phenomena inducing important vibrations that can be very critical to their mechanical state.…”