Harmonic Response Analysis of Stochastic Rods Using Spatial Stochastic Averaging
The vibration analysis of engineering structures possessing randomly varying elastic, mass and damping properties constitutes a challenging class of problems in the area of stochastic structural mechanics, see references [1–4], for a survey of the state of art. These problems are of fundamental importance in the safety assessments of engineering structures, especially, when the frequency range of excitation encompasses several modes of vibration. In an ongoing program of research aimed at understanding the dynamical behavior of stochastic continuous systems, we have studied the free and forced vibration characteristics of random rod and beam elements [5–8].
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