Abstract: A pobabilistic approach to design variables optimization of vibrationsystems with mutil-degrees of freedom is presented. The proposed method is based onmathematical modelling of the system. Optimization is understood as a calculation of themean values and standard deviations and choosing of the random parameters which in thefeasible domain minimizes the objective function. Feasible domain is defined by probabilisticconstraints.The method is illustrated for the optimization of parameters of a linear torsiona...