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In the study of vibrations of an elastic tube bundle (of mass m and stiffness k) placed in a cross-flow, Chen, from physical considerations [1], poses the tube movement equations a priori in the form: (m + M) + C + (k + K)s = 0, in which s is the displacement vector of the group of tubes; M, C, K are respectively the added mass, stiffness and damping matrices, due to the presence of the fluid (for a general study of fluid-structure interaction and its applications, we refer to Gibert [2], Ohayon [3]).
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Reduced Frequency Fig, Aeroelasticity Module, Academic Press, New York, Journal of Fluid Mechanics, Maximum Stenos
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