立铣加工颤振稳定性时域求解与分析研究(英文)

In this paper, the instantaneous undeformed chip thickness is modeled to include the dynamic modulation caused by the tool vibration while the dynamic regenerative effects are taken into account. The numerical method is used to solve the differential equations goveming the dynamics of the milling system. Several chatter detection criteria are applied synthetically to the simulated signals and the stability diagram is obtained in time-domain. The simulation results in time-domain show a good agreement with the analytical prediction, which is validated by the cutting experiments. By simulating the chatter stability lobes in the time-domain and analyzing the influences of different spindle speeds on the vibration amplitudes of the tool under a Fixed chip-load condition, conclusions could be drawn as follows： In rough milling, higher machining efficiency can be achieved by selecting a spindle speed corresponding to the axial depth of cut in accordance with the simulated chatter stability lobes, and in Fmish milling, lower surface roughness can be achieved by selecting a spindle speed well beyond the resonant frequency of machining system.     

The classical Laplace plane as a stable disposal orbit for geostationary satellites

The classical Laplace plane is a frozen orbit, or equilibrium solution for the averaged dynamics arising from Earth oblateness and lunisolar gravitational perturbations. The pole of the orbital plane of uncontrolled GEO satellites regress around the pole of the Laplace plane at nearly constant inclination and rate. In accordance with Friesen et al. (1993), we show how this stable plane can be used as a robust long-term disposal orbit. The current graveyard regions for end-of-life retirement of GEO payloads, which is several hundred kilometers above GEO depending on the spacecraft characteristics, cannot contain the newly discovered high area-to-mass ratio debris population. Such objects are highly susceptible to the effects of solar radiation pressure exhibiting dramatic variations in eccentricity and inclination over short periods of time. The Laplace plane graveyard, on the contrary, would trap this debris and would not allow these objects to rain down through GEO. Since placing a satellite in this inclined orbit can be expensive, we discuss some alternative disposal schemes that have acceptable cost-to-benefit ratios.     

On the Lagrange and Hill stability of motion in the three-body problem

In the three-body problem, we consider the Lagrange and Hill stability including the Lagrange stability for the manifold of symmetric motions that exists in the case where two of three bodies have equal masses. To analyze the stability, in addition to integrals of energy and angular momentum we use the Lagrange–Jacobi equality. We prove theorems on the Lagrange and Hill stability. The theorem on the Hill stability has effective application in the case where the mass of a body is much less than masses of two other bodies. In this case, as it is known, the model of the restricted three-body problem is usually applied.     

双组元统一推进系统气路稳定性分析

在建立双组元统一推进气路系统数学模型的基础上,对气路系统从启动到额定工况的工作过程进行数学仿真,证明在理想气体绝热流动的假设下,气路系统在稳态点附近的温度变化很小.通过建立气路系统的状态空间模型,得到了主要结构参数对于气路系统稳定性的影响规律.提出了改善减压阀和气路系统稳定性的主要措施.     

高空气球热力学模型与上升过程仿真分析

基于对高空气球热力学环境的分析,建立了热力学与动力学耦合的高空气球动力学模型;并采用该模型对某高空气球的上升与驻留过程进行仿真分析.结果表明:高空气球上升过程中内部氦气存在"超冷"现象,其中平流层区域"超冷"明显,氦气平均温差为-19 K;由于"超冷",其上升速度曲线呈双"V"形变化;强太阳辐射与弱对流环境使驻留过程中氦气呈现"超热"现象,平衡时氦气平均温度比环境温度高39 K,球内氦气超压648.8 Pa.数值仿真的速度、平均温度变化规律与相关飞行试验数据相吻合,说明该仿真模型是有效的.      

改善铷原子钟物理部分温度系数的研究

铷原子钟的温度系数是决定其长期频率稳定度的关键因素,物理部分的温度系数又是铷原子钟温度系数的重要组成部分.为了改善物理部分的温度系数,在理论分析的基础上开展了试验研究,结果表明:提出的改善物理部分温度系数的措施是有效的.这对于进一步提高星载铷原子钟频率稳定度具有积极作用.     

刚体卫星相平面控制闭环系统稳定性分析

摘要： 针对航天器姿态控制系统相平面控制的稳定性分析这一难题,本文提出一种简化相平面控制律,并选取刚体卫星作为被控对象,研究闭环控制系统的稳定性.利用相平面分析方法对闭环系统轨线进行定量估计,证明闭环控制系统存在特定的稳态区域,并给出该稳态区域的计算公式.采用相平面分析方法定量估计闭环系统轨线的思想,证明当控制律参数满足适当条件时,从任意初值状态出发的闭环控制系统轨线都可以在有限时间内到达稳态区域,并且一直保持在稳态区域中,从而证明闭环控制系统的全局一致最终有界性.推导出闭环控制系统的轨线从初值状态到达稳态区域所用时间的估算公式.仿真验证了结果的有效性.     

故障预测算法稳定性实时评估方法

针对现有故障预测算法性能评估指标受实际剩余使用寿命约束的问题,从稳定性角度提出一种评估算法性能的方法。通过研究对象系统健康退化过程,在对象系统实际剩余使用寿命未知情况下,利用可以实时获得的剩余使用寿命预测值和已消耗寿命值,通过计算虚构寿命值的变异系数指标来客观评估故障预测算法的性能。为了验证所提方法的有效性,结合机电作动器故障演化模型仿真生成数据对递归最小二乘和粒子滤波两种故障预测算法的稳定性进行了实时评价。仿真结果表明,所提方法与运用已有指标、在获知剩余使用寿命理想值前提下得出的评估结果保持一致。     

非线性系统的镇定控制理论概述

对近十年来非线性系统的镇定控制问题作一概述,介绍了相关的主要概念、理论和一些主要进展,重点侧重于构造性方法,这是当今非线性控制研究的重要特征,最后给出研究展望。     

包含处理机匣影响的压气机旋转失速稳定性模型

通过引入等价分布源方法,建立了处理机匣非定常壁面边界条件的数学模型,从而可以计算处理机匣对压力扰动波的影响。同时,将这一计算模块引入稳定性模型中,发展了可以包含处理机匣影响的稳定性模型。与某低压压气机以及NA SA的37号压气机的实验结果对比表明,所发展的三维旋转失速稳定性模型完全满足预测压气机稳定性的需求。此外,对37号压气机的数值计算表明,处理机匣的结构参数,如长度、背腔高度和壁面开孔率等都对稳定性有影响。理论上表明可以通过设计这些结构参数达到扩大压气机稳定性裕度的目的。