自由—自由结构振动模态的一阶导数

空间飞行器和车辆等一大类结构属于自由—自由结构。本文讨论这类结构的振动模态－阶导数计算问题，提出了一种改进的截尾模态展开法，将未知模态对模态导数的贡献用已知模态和系统矩来表达。针对刚度阵奇异问题，提出了移位措施，通过选择的移位系数，不仅解决了奇异问题，而且加速了算法的收敛速度。给出了一个数值例子，算例表明本文方法十分有效。     

Semi-stochastic modification of second-order radial derivative of Abel–Poisson’s formula for validating satellite gravity gradiometry data

The geoid can be used to validate the satellite gravity gradiometry data. Validation of such data is important prior to their downward continuation because of amplification of the data errors through this process. In this paper, the second-order radial derivative of Abel–Poisson’s formula is modified stochastically to reduce the effect of the far-zone geoid and generate the second-order radial derivative of geopotential at 250 km level. The numerical studies over Fennoscandia show that this method yields the gradients with an error of 10 mE and when the long wavelength of geoid is removed from the estimator and restored after the computations (remove–compute–restore) the error will be in 1 mE level. We name this method semi-stochastic modification. The best case scenario is found when the degree of modification of the integral formula is 200 and the long wavelength geoid to degree 100 is removed and restored. In this case the geoid should have a resolution of 15′ × 15′ and the integration should be performed over a cap size of 3°.     

基于推阻平衡的喷管型面截短方法研究及试验验证

出于减小喷管壁面摩擦损失的考虑以及发动机的整体布局的受制,传统推力喷管设计方法得到的理想喷管通常需要进行适当截短。合理的截短方法有助于保持喷管性能,因此,通过壁面单元受力分析并考虑单元体内的推力与阻力关系,提出了一种推阻平衡的喷管截短设计方法。使用上述方法对一个三次曲线型面的三维原始完全膨胀喷管进行截短,使喷管长度减小25%,重量减小34%。通过风洞试验与数值模拟结果对比发现,截短后的喷管推力系数提高1.5%,升力也得到有效提高,验证了此种截短方法的正确性。截短后喷管处于欠膨胀状态,与理论分析得到的最大静推力状态结果相符。     

飞轮扰动经验模型参数的识别与改进

对飞轮扰动模型参数的精确识别是研究光学卫星高稳定度、高分辨率成像的基础. 目前, 飞轮的扰动模型识别主要有两种: 经验模型和分析模型. 经验模型需要识别的参数是谐波级数和幅值系数, 而当前存在的参数识别算法忽略了时域截断的影响, 导致幅值系数识别存在较大偏差, 这会引起扰动响应分析的不确定性. 针对上述情况, 提出了窗函数法和与其相关的频域恢复技术, 有效弥补了时域截断的影响. 通过实验仿真结果可见, 该方法大幅度提高了幅值系数的识别精度.      

利用差值定理降低飞行器速度和加速度拟合的截断误差

推导了差值定理及其推论,并以此作为数据拟合的有效点判据,显著降低了飞行器速度和加速度拟合的截断误差;探讨了该判据条件下滤波参数对拟合结果的影响及截断误差的判断条件,并采用实测数据对拟合效果进行了检验。     

挠性空间结构的低维控制

首先分析了具有Ｖｏｉｇｔ型粘性阻尼的挠性梁的动力学特性，构造了系统的有限维模态逼近模型，证明了其中Ｈ∞意义下的收敛性，进而构造了系统的低维控制规律，证明了闭环路控制的稳定性，从而形成了具有潜在工程应用前景的挠性空间结构振动控制的可靠方法。     

Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field

We present an integral-based approach for high-resolution regional recovery of the gravitational field in this article. We derive rigorous remove-compute-restore integral estimators relating the line-of-sight gravitational acceleration to an arbitrary order radial derivative of the gravitational potential. The integral estimators are composed of three terms, i.e., the truncated integration, the low-frequency line-of-sight gravitational acceleration, and the high-frequency truncation error (effect of the distant zones). We test the accuracy of the integral transformations and of the integral estimators in a closed-loop simulation over the Montes Jura region on the nearside of the Moon. In this way, we determine optimal sizes of integration radii and grid discretisation. In addition, we investigate the performance of the regional integral inversion with synthetic and realistic GRAIL observations. We demonstrate that the regional inversion results of the disturbing gravitational potential and its first order radial derivative in the Montes Jura mountain range are less contaminated by high-frequency noise than the global spherical harmonic models.     

减小截断误差并抑制野值的积分递归滤波方法

提出了一种依据运动学方程的积分递归滤波方法,在残差准则的控制下,可有效减小动力突变段的截断误差,且对野值具有很好的抑制能力。该方法在靶场的数据处理中得到了很好的应用。     

Generation of vertical–horizontal and horizontal–horizontal gravity gradients using stochastically modified integral estimators

The Earth’s gravity field modelling is an ill-posed problem having a sensitive solution to the error of data. Satellite gravity gradiometry (SGG) is a space technique to measure the second-order derivatives of geopotential for modelling this field, but the measurements should be validated prior to use. The existing terrestrial gravity anomalies and Earth gravity models can be used for this purpose. In this paper, the second-order vertical–horizontal (VH) and horizontal–horizontal (HH) derivatives of the extended Stokes formula in the local north-oriented frame are modified using biased, unbiased and optimum types of least-squares modification. These modified integral estimators are used to generate the VH and HH gradients at 250 km level for validation purpose of the SGG data. It is shown that, unlike the integral estimator for generating the second-order radial derivative of geopotential, the system of equations from which the modification parameters are obtained is unstable for all types of modification, with large cap size and high degree, and regularization is strongly required for solving the system. Numerical studies in Fennoscandia show that the SGG data can be estimated with an accuracy of 1 mE using an integral estimator modified by a biased type least-squares modification. In this case an integration cap size of 2.5° and a degree of modification of 100 for integrating 30′ × 30′ gravity anomalies are required.     

拐点平滑滤波技术研究

提出了滤波算法的一种新的有效点判断原则,即拐点平滑法;介绍了该技术的数学模型及滤波原理;通过仿真计算,探讨了应用该判据时滤波半径、拟合阶次等滤波参数对位置参数滤波结果的影响情况,并进行了实测数据解算。该判据在中心平滑算法的最佳应用条件下,综合考虑了截断误差,提高了飞行器位置参数的滤波精度,尤其适用于加速度剧烈变化的飞行轨迹。