Analytical/Numerical Procecdures for Investigation of Rotor Systems with Strong Local Nonlinearities

这侧重于程序的发展，它集成了现代动力系统理论和分析/数值技术，以表征具有强局部非线性的系统的动力行为。重点将放在非线性耦合转子/结构系统，如高速飞机发动机。转子系统的强局部非线性表现在阻尼器、间隙、流体相互作用、摩擦等方面。由于单轴或多轴和/或齿轮系统的旋转不平衡，系统可能分别受到单频或多频激励。一般程序将开发确定系统的多重，周期和准周期响应，他们的详细分岔和路线的混乱。将建立低阶转子模型来研究系统的规则和混沌行为影响其性能的非线性机制。特别有趣的是内部共振对这种行为的影响。这项研究将产生可靠的方法和程序，有助于从根本上理解具有强非线性的系统中的非线性现象。该方法将推广到有效地处理大订单转子系统，以帮助其仿真，设计，测试和监测；以及未来实验和分析研究的发展。* * * / /

This focuses on the development of procedures which integrate modern dynamical systems theory and analytical/numerical techniques to characterize the dynamical behavior of systems with strong local nonlinearities. The emphasis will be placed on nonlinearly coupled rotor/structural systems such as high speed aircraft engines. Strong local nonlinearities in rotor systems are manifested in dampers, clearances, fluid interactions, rubs, and others. The systems may be subjected to single or multi frequency excitation due to rotating imbalance in single, or multiple shaft and/or geared systems, respectively. General procedures will be developed for determining the system's multiple, periodic and quasi-periodic responses, their detailed bifurcations and routes to chaos. Low order rotor models will be constructed to study the nonlinear mechanisms by which the regular and chaotic behavior of the systems influence their performance. Of particular interest is the effect of internal resonances on that behavior. The research will yield reliable methods and procedures which will contribute to the fundamental understanding of nonlinear phenomena in systems with strong nonlinearities. The methods will be generalized to efficiently treat large order rotor systems to aid in their simulation, design, testing and monitoring; and for future developments in experimental and analytical studies.*** //