A mass moving uniformly along a Bernoulli-Euler beam with a periodically nonuniform cross section lying on an elastic foundation has been examined. It is shown analytically that a parametric instability takes place in the system. The instable zones for different values of nonuniformity have been obtained.
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ACKNOWLEDGMENTS This work was supported in part by the Russian Foundation for Basic Research, project no. 08-08-970577-r–povolzh’e–a.
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