Effective system properties and spectral density in random vibration with parametric excitation

Steen Krenk, Y. K. Lin, Finn Rüdinger

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The characteristic frequency and bandwidth of the random response to parametric excitation may be influenced by the excitation process. It is demonstrated that the effrective stiffness and damping properties can be expressed as conditional mean values for given displacement and energy levels, respectively. These properties are used to describe response in terms of its probability density function and its spectral density function. An example demonstrates the accuracy in predicting the change of frequency and damping of a praametrically excited oscillator, and another example extends the method to a self-excited oscillator with domains of negative damping.
Original languageEnglish
JournalJournal of Applied Mechanics
Volume69
Pages (from-to)161-170
ISSN0021-8936
Publication statusPublished - 2002

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