Randomly excited vibratory systems with variable structure
The object of the paper is the analysis of a vibratory system that consists of many randomly excited different vibratory sub-systems. Each of such a vibratory sub-system and its analytical description can be identified as a certain structure (or mode) of the main system. Randomness of the environment, in which the system works, or randomness hidden in its elements involves the random switching between the structures. The appropriate stochastic differential equations give the global probability description of the system with random switching between different sub-systems (structures).
KeywordsStochastic Differential Equation Maximum Entropy Method Vibratory System Normalize Density Function Random Switching
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