Abstract
A theory for predicting the response of a linear vibratory system to impulses which occur at random times, and are of random strengths, is considered. It is shown that in a limiting case, the excitation may be regarded as a continuous, normally distributed process, called “nonstationary white noise”, and the practical significance of this process is discussed. The theory is used to find the mean square response of a single degree of freedom system to two simple types of random impulse excitation, and the concept of “mean square resonance” is introduced.
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