Use of the generalized complex modal method to calculate the oscillations of an elastic-structure/viscous-liquid damping-coatings system

摘要

We examine the numerical solution of the problem of calculating the oscillations of a system consisting of an elastic structure plus a viscous liquid plus damping coatings. The visco-elastic properties of the damping coatings are described by differential operators, and the behavior of the viscous liquid is described by the linear Navier-Stokes equations. The resulting matrix equation is solved with the use of expansion into a series in the generalized complex modes. The effectiveness of the obtained solutions is demonstrated for examples of the calculation of specific structures.