Statistical analysis of the forced response of mistuned cyclic assemblies

Shih Tzung Wei, Christophe Pierre

Research output: Contribution to journalArticlepeer-review

72 Scopus citations

Abstract

A statistical investigation of the effects of random mistiming on the forced response of nearly cyclic assemblies made of mono-coupled single-mode component systems (blades) is presented. Various probabilistic methods of analysis are applied to generate the statistics of the forced response of this basic TV-degree of freedom cyclic system: an analytical first-order statistical perturbation method, a purely numerical Monte Carlo simulation, and a hybrid approach that combines the two. Means and variances of the component systems’ amplitudes are obtained. The limitation, accuracy, and computer costs of the various techniques are discussed. Also, the effects of the system parameters on the expected value of the largest amplitude experienced by the assemblies at any excitation frequency are investigated. It is found that weakly coupled systems are more sensitive to mistuning than strongly coupled ones through a greater increase in largest amplitude and that the accuracy of the various approaches depends strongly on the relative magnitudes of coupling, mistuning, and damping.

Original languageEnglish
Pages (from-to)861-868
Number of pages8
JournalAIAA journal
Volume28
Issue number5
DOIs
StatePublished - May 1990

Fingerprint

Dive into the research topics of 'Statistical analysis of the forced response of mistuned cyclic assemblies'. Together they form a unique fingerprint.

Cite this