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The purpose of this paper is the nonlinear calculation of the forced response of a vanesegment (a sector of a row of stator blades) for aeronautical applications in the presence of multiple joints using a coupled static/dynamic method to calculate the contact forces between assembled components. The solution of the static/dynamic equilibrium equations is calculated using the Multi Harmonic Balance Method (MHBM) that is a technique widely accepted as an effective approach to calculate the steady-state forced response in the frequency domain in spite of the Direct Time Integration (DTI).The MHBM technique allows, in fact, a strong reduction of the computation in particular when non-linearities are introduced as in this case for a more realistic modeling of the physical behavior of the joints and system response in general. The non-linearity is introduced by means of contact elements that produce additional stiffening and damping in the system due the introduction of contact stiffness and friction forces based on Coulomb’s law. Since the periodical nonlinear contact forces may depend on the history of the motion of the vibrating system, the MHBM steady-state solution may lead to a poor correlation with the DTI solution. To consider this dependence, in this paper, it is presented a coupled method which permits to solve together the static balance equations and the dynamic balance equations to have a better approximation of the real behavior of the system. A sensitivity analysis is performed to investigate the effect of numerical, geometrical and contact parameters to optimize the design of the system. Calculated responses are finally compared with the uncoupled approach where the static equilibrium is calculated independently from the vibratory response calculation as usually done to investigate the difference of the two methods.

NONLINEAR FORCED RESPONSE OF A STATOR VANE WITH MULTIPLE FRICTION CONTACTS USING A COUPLED STATIC/DYNAMIC APPROACH