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The transient response of vibrating systems containing random parameters

Dupal J.

Modelling and Optimization of Physical Systems

2007

z. 6

37--40

The paper deals with a methodology of statistical parameter (mean, covariance and standard deviation) determination of n-DOF linear vibrating system displacements in transient vibration. It is supposed a proportional damping which means that the damping matrix is linear combination of the mass and stiffness matrices. The perturbation approach [1] is applied to the parameter calculation and estimation of the upper and lower limits of displacements in the probability sense.