Abstract
The occurrence of jump phenomena in gear system to random excitation are investigated theoretically considering the transmission error as a stochastic process. First, the occurrence is examined from the standpoint of mean square value, and second, it is investigated about the probability density function in simplified form. As the result, it is made clear that the phenomena occur in case of a narrow band random excitation and the density function separates into independent parts, but the phenomena don't occur in case of a wide band excitation.
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