Vibration analysis of nonsmooth structural systems

这项研究的目的是改善对复杂的可能结构系统的振动响应的理解、建模和预测。这将通过开发创新的数值方法来实现，这些方法能够处理由于优化设计和恶劣的操作环境而产生的日益复杂的动力学现象。在飞机和直升机发动机中发现的叶片盘系统将作为该分析和计算程序的首选工业应用。对于含有非光滑界面量的系统振动的数值处理，即单面接触和摩擦条件，将给予极大的关注。其他建模复杂性将包括较大的模型尺寸和时间延迟现象。为此，拟议的探索拨款申请将重点放在两个主要方面：

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: