Investigation on nonlinear lateral-torsional coupled vibration of a rotor system with substantial unbalance

Substantial unbalance may be caused by fan blade off during the operation period of gas turbine engines, and related dynamic problems are very critical to the safety design of rotor system in aero-engine. This article aims to understand lateral-torsional coupled vibration of the rotor system with substantial unbalance. The governing equation of a modified unbalanced rotor system is established based on Lagrangian approach. Then, a mathematical analytical method is proposed in which a linear approximation is derived and the Floquet theory and Hill’s method are incorporated, from which the modal characteristics of the unbalanced rotor are obtained. The modal characteristics of the unbalanced rotor system are revealed comprehensively for the first time. Furthermore, the relation between the modes and responses of the unbalanced rotor is discussed in detail. The results show that the lateral vibration and torsional vibration of the unbalanced rotor are coupled through the inertial terms in the governing equations. Due to the coupling, veering and lock-in phenomena occur between the frequencies of the forward whirl mode and the torsional mode. Furthermore, lock-in can lead to a kind of principal instability. With regard to the response of the unbalanced rotor, both natural vibration components and enforced vibration components appear in the lateral response, while only natural vibration components appear during torsional vibration. Moreover, natural vibration components play a crucial role in the response within the principal instability region and cause divergence of the vibration amplitudes in the lateral and torsional directions.     

Two-stream instability generation in the lunar ionosphere

The Two-stream Instability (TSI) generation is studied analytically in the lunar ionosphere. The TSI is a tiny perturbation in the electron plasma density, due to which an electric field grows with time and this growth is facilitated by the electron plasma in the background. In lunar ionosphere, the TSI comes into existence when the solar wind interacts unhindered with the tenuous lunar electron plasma in the surface bound exosphere. In this study, the conditions which allow the TSI to form and the subsequent instability growth with time i.e. the growth factor, is estimated. Initially, the threshold condition for the TSI to take place is determined. Thereafter, the solar wind and lunar plasma parameter contribution to trigger TSI is investigated along with the effect of these parameters in the evolution of TSI. The plasma TSI evolution with the passage of time is also depicted in phase space diagram with Particle-In-Cell simulations.     

受限空间内激波与火焰作用的三维计算

激波与火焰的相互作用常发生在超声速燃烧和燃烧转爆轰过程中,为深入了解这一现象,采用带化学反应的三维Navier-Stokes方程,对平面入射激波及其反射激波与火焰的作用进行了计算研究,其中燃烧过程使用单步反应模型描述。研究结果显示:在受限空间内模拟激波与火焰作用,能更好地符合实验结果,从而体现出受限空间的三维效应;火焰在入射激波的作用下主要经Richtmyer-Meshkov不稳定而发生变形,此时火焰变形以物理作用为主,燃烧膨胀效果相对不明显;当反射激波与变形火焰再次作用后,火焰迅速膨胀变形,放热率维持在较高水平,此时化学反应过程起主要作用;在反射激波的作用下,变形火焰复杂三维涡结构的形成能强化热量与质量的输送,提高燃烧速率。     

燃料裂解特性对供油系统稳定性的影响

通过实验研究发现了超临界吸热型碳氢燃料供油系统的压力降型不稳定现象。为了研究稳定机理和超临界吸热型碳氢燃料裂解特性对供油系统稳定性的影响,建立了零维平衡流模型,并针对不同裂解特性的燃料进行了对比仿真。研究结果表明,由于裂解反应的发生,超临界碳氢燃料供油系统存在临界区和裂解区两个不稳定区间。基于零维平衡流模型较好地复现不稳定实验现象,不稳定机理得到了详细的解释。密度随温度的变化是系统正反馈的重要环节之一,其剧烈的变化率是导致系统不稳定的主要原因,燃油裂解速率越快,其裂解产物密度相对变化率随温度变化越大,越容易引起供油系统的不稳定。      

涡轮叶尖间隙泄漏涡不稳定性分析

结合Rains间隙泄漏涡模型和长波不稳定性理论,应用高雷诺数k-ε湍流模型加壁面函数,基于压力修正的三维计算流体力学程序,对某一轴流涡轮平面叶栅叶尖间隙流场进行仿真,通过将叶尖间隙泄漏涡与其在机匣表面镜像形成的虚拟泄漏涡组合成一对泄漏涡,对涡轮叶尖间隙泄漏涡的不稳定性进行了分析,并计算了五个不同叶尖间隙高度下泄漏涡的最不稳定的波长及对应的频率。结果表明,利用长波不稳定性理论可以预测叶尖泄漏涡的不稳定性和最不稳定的波长及对应的频率,从而为采用合成射流控制方法去控制涡轮叶尖泄漏涡提供理论基础。     

82-92km高度范围大气湍流能量耗散率的一个个例研究

使用Chaff和落球火箭测量的垂直速度和温度数据研究湍流结构和它的产生.结果表明湍流存在多层桔构.在强湍流层,动力不稳定,和MST雷达回波功率间有好的相关,认为强湍流层和雷达回波与动力不稳定有关.水平速度垂直波数谱表明,观测谱与他和谱模式有极好的一致,认为强湍流层和雷达回波通过动力不稳定直接与重力波饱和相联系.      

某型轴流发动机气动不稳定试验

对某轴流式涡喷发动机节流过程中的气动不稳定现象进行了试验研究。通过定性分析和数据处理，揭示了节流过程中发动机气动失稳的过程和机理，压气机第1级静子机匣壁面静压脉动分量的形式和强度变化与上游转子端壁流动分离的程度密切相关，且静压脉动的概率密度函数分布可以反映这种变化。提出了一种检测失速征兆的新思路，即检测压气机第1级的流动分离，而不是直接检测出现在级负荷和轮毂比较高的压气机级中、导致压气机整机失速的模态扰动和(或)短周期扰动，来判断发动机工作点接近不稳定工作边界的程度。应用这种思路，预期可以提高失速征兆检测的时效性。     

太阳高能电子束通过空间振荡轴向场产生的电磁不稳定性

本文基于太阳高能电子和日冕区开放场及行星际磁场特征，建立了相对论电子束与伴有空间变化（空间周期变化）的轴向场相互作用模型，用数值方法研究了该体系产生的电磁不稳定性，结果指出只有当太阳高能电子束速度和空间振荡场波数大到一定程度时，该体系才可激发在旋电磁模不稳定性，当太阳高能电子束逐一通过日冕和行星际空间时，激发具有波频向低频漂移特征的电磁波．