Vibration analysis of nonsmooth structural systems

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The objective of this research is to provide improved understanding, modeling, and prediction of the vibration response of complex possibly structural systems. This will be accomplished by developing innovative numerical methods capable of tackling the growing complexity of dynamical phenomena resulting from optimized designs and severe operational environments. Bladed disk systems found in aircraft and helicopter engines will serve as the preferred industrial applications of this analytical and computational program. Meticulous attention will paid to the numerical treatment of the vibrations of systems involving nonsmooth interface quantities, i.e. unilateral contact and friction conditions. Other modeling complexities will include large model size and time-delayed phenomena. To this end, the proposed Discovery Grant application will focus on two major thrusts: