DETERMINATION OF MEAN SQUARE VALUES OF RANDOM PARAMETRIC VIBRATIONS OF AN IMPERFECT ELASTIC BEAM
Keywords:
Beam, hysteresis, spectral density, random parametric vibration, mean-square value.Abstract
This paper addresses the problem of analytically determining the mean-square values of displacements for a beam with elastic dissipative characteristics of the hysteresis type under random parametric excitations. The nonlinear, multi-valued functional representing the dissipative property of the beam material is accounted for in a linear form using the statistical linearization method. Using the Ito method, an analytical expression for the mean-square values of the beam displacements is derived for narrow-band and wide-band random processes.
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