ABSTRACT: In this paper, the free three-dimensional vibrations of a rigid body connected with elastic and damping elements are discussed. The task of determining the Eigen values and Eigen vectors is solved. According to the degree of damping, their variation is monitored. This task also solves the problem of determining the natural frequencies and the oscillation forms that occur at zero damping. The article is theoretical, but it is directly related to solving a number of engineering problems.
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