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Continuation techniques for analysis of whole aeroengine dynamics with imperfect bifurcations and isolated solutions

机译:用不完全分岔和孤立解决方案分析整个航空发动机动力学的连续技术

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摘要

The analysis of whole engine rotordynamic models is an important element in the design of aerojet engines. The models include gyroscopic effects and allow for rubbing contact between rotor and stator components such as bladed discs and casing. Due to the nonlinearities inherent to the system, bifurcations in the frequency response may arise. Reliable and efficient methods to determine the bifurcation points and solution branches are required. For this purpose, a multi-harmonic balance approach is presented that allows a numerically efficient detection of bifurcation points and the calculation of both continuous and isolated branches of the frequency response functions. The method is applied to a test case derived from a commercial aeroengine. A bifurcation structure with continuous and isolated solution branches is observed and studied in this paper. The comparison with time marching based on simulations shows both accuracy and numerical efficiency of the newly developed approach.
机译:整个发动机转子动力学模型的分析是航空发动机设计中的重要元素。该模型具有陀螺效应,并允许转子和定子部件(例如叶片盘和壳体)之间的摩擦接触。由于系统固有的非线性,可能会在频率响应中出现分歧。需要一种可靠且有效的方法来确定分叉点和解分支。为此目的,提出了一种多谐波平衡方法,该方法允许在数值上有效地检测分叉点,并计算频率响应函数的连续分支和孤立分支。该方法适用于衍生自商用航空发动机的测试案例。观察和研究了具有连续和孤立的溶液分支的分叉结构。与基于仿真的时间行进的比较显示了新开发方法的准确性和数值效率。

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