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Solar arrays are structures which are connected to satellites; during launch,they are in a folded position and submitted to high vibrations. In order tosave mass, the flexibility of the panels is not negligible and they may strikeeach other; this may damage the structure. To prevent this, rubber snubbers aremounted at well chosen points of the structure; a prestress is applied to thesnubber; but it is quite difficult to check the amount of prestress and thesnubber may act only on one side; they will be modeled as one sided springs(see figure 2). In this article, some analysis for responses (displacements) inboth time and frequency domains for a clamped-clamped Euler-Bernoulli beammodel with a spring are presented. This spring can be unilateral or bilateralfixed at a point. The mounting (beam +spring) is fixed on a rigid support whichhas a sinusoidal motion of constant frequency. The system is also studied inthe frequency domain by sweeping frequencies between two fixed values, in orderto save the maximum of displacements corresponding to each frequency. Numericalresults are compared with exact solutions in particular cases which alreadyexist in the literature. On the other hand, a numerical and theoreticalinvestigation of nonlinear normal mode (NNM) can be a new method to describenonlinear behaviors, this work is in progress.

Finite Elements for a Beam System With Nonlinear Contact Under Periodic Excitation