概念辨析过程中的数学变式教学--以矩阵的相似与合同为例

矩阵的相似与矩阵的合同这两个概念很容易混淆,所以需要对它们进行辨析.它们的相同点、不同点及二者的相互转化,都体现着数学变式教学的观点.以这一观点作为出发点和归宿,既验证了数学变式教学本身的解释力,又为辨析矩阵的相似与矩阵的合同这两个概念找到新的研究视角.     

Mathematica在一类数学问题中的应用

文章利用Mathematica从另一个角度给出了一类和式结果的算法,该算法简单实用。这不但进一步加深了对Mathematica的认识,而且提供了利用Mathematica解决某些数学问题的思想脉络。     

尺寸公差公差带与配合的选择——对GB/T1801-1999的分析

分析了国家标准极限与配合中的公差带与配合在常用尺寸段和大尺寸段时的选择 ,详细介绍了新增的配置配合的概念、应用和表示法。     

微分学基本定理在极限计算中的应用

本文讨论了微分学的基本定理在极限求解过程中的三种应用,总结了一些简化极限运算的方法.     

适用于含多个隐式极限状态方程的飞机结构系统安全分析新方法

工程复杂随机结构的概率安全分析中，最重要的两个步骤是建立所有失效模式的极限状态方程和计算所建立极限状态方程的失效概率。一般来说大型复杂工程结构的极限状态方程都是隐式的，且当材料参数、结构参数和外载荷等均为随机变量时，极限状态方程均为非线性的，为此文中提出了建立真实复杂结构多模式隐式极限方程的等效方法。该方法对于单个极限状态方程采用在均值点展开成线性项和高次项修正的方式，在概率等效的基础上，建立起原非线性隐式极限状态方程的概率等效线性显式极限状态方程。当结构系统所有极限状态方程都建立了其等效显式线性极限状态方程后，即可利用可得的可靠性分析方法来计算结构系统的等效失效概率。所提方法被用于真实飞机结构翼身连接接头的强度刚度多模式可靠性分析，与迭代响应面法计算结果的对比表明，所提方法具有较高的精度。并且所提方法可以与任何标准有限元程序相结合，而标准有限元程序是当今处理结构力学分析与设计的强有力的工具，文中方法提供了力学分析与概率安全分析相结合的合理连接，其应用前景将是十分广泛的。     

喉栓式变推力固体火箭发动机内弹道调节特性

发展了一套电动伺服驱动的喉栓式变推力固体火箭发动机试验系统,研制了喉栓式变推力固体火箭发动机,进行了喉栓式变推力固体火箭发动机内弹道调节特性试验.试验研究表明,耐烧蚀喉栓的轴向运动可实时调节发动机内弹道特性,目前已实现压强的四级调节;发动机内弹道变化相对喉栓运动有一定延迟,但其延迟可为工程所接受.     

带孔拉深的极限孔径确定和孔变形分析

结合带孔圆饭拉深过程中的筒底变形，建立力学模型，得到了根据材料性质和拉深系数确定极限孔径的计算式，同时，定量分析了一定拉深条件下的孔变形。     

涡流阀式固体变推力集成原理样机设计与实验

针对涡流阀式变推力发动机,初步建立了设计方法,并设计了长尾管和环形燃气发生器组合的集成式原理样机,开展了考核试验.实验结果表明,设计的原理发动机实现了设计要求；涡流阀式变推力发动机具有存在旋流损失,可实现推力调节比大于压强调节比的工作特性；实验推力调节比达到9:1.     

空间核动力技术概览与发展脉络初探

在概略介绍现有技术方案基础上,初步探讨空间核动力技术的发展脉络,并分析其未来发展方向.基于固体核反应堆的空间核电源、核电推进及核热推进,是经过试验验证可行、具有一定技术基础并可预期实现空间应用的空间核动力技术.更先进的概念方案包括:基于气体核反应堆的核电源/核热推进、脉冲核爆推进、核裂变碎片推进等,它们的性能逐代跨越直至逼近理论极限.要充分利用核能的潜力,一方面需要提高单位质量核燃料的核能释放率,另一方面也需要减少核反应产物动能转换为无轨热运动的比率.核能潜力的充分利用需要以增加系统质量为代价.为满足未来宽广的空间任务需求,多物理机制驱动的大深度变工况一体化核能空间动力系统是未来必然发展趋势.     

冲压发动机超声速进气道研究进展

超声速进气道是冲压发动机的关键部件之一。简要介绍了冲压发动机常用的典型进气道。重点叙述了进气道的最新研究成果,主要包括等溢流角弯曲前缘侧壁压缩进气道设计概念、支板引射压缩进气道、双模态超燃冲压发动机变几何进气道、全外压缩式超声速“参数进气道”、固定型面方转椭圆形超声速进气道（REST）等的设计概念与方案。最后概括了先进进气道的发展趋势。     

On the stability of the track of the space elevator

A string moving with geostationary angular velocity in its radial relative equilibrium configuration around the Earth, reaching from the surface of the Earth far beyond the geostationary height, could be used as track for an Earth to space elevator. This is an old dream of mankind, originating about 100 years ago in Russia. Besides the question of feasibility from a technological point of view also the question concerning the stability of such a configuration has not yet been completely solved. Under the assumption that a proper material (carbon nanotubes) is available, making the connection possible technologically, we address the question of existence and stability of the radial relative equilibrium of a tapered string on a circular geosynchronous trajectory around the Earth, reaching from the surface of the Earth far beyond the geostationary height.     

On the Possibility of the Existence of Volatile Compounds in the Region of the Scott Crater on the Moon

In this paper, we analyze the illumination conditions, the thermal regime, and the possibility of deposits of volatile compounds existing in the vicinity region (NSR S5 region) near the southern pole of the Moon. It has been found that there are no permanently shadowed zones near the Scott crater and the NSR S5 region, though the temperature conditions allow the of compounds such as CH₃OH, SO₂, NH₃, CO₂, H₂S, C₂H₄, and water to remain stable relative to evaporation for a long time (≥1 Gyr). It has been also shown that compounds like CO and CH₄ cannot stably exist in these regions.     

Estimation of the current density and analysis of the geometry of the current system surrounding the Earth

The results of an investigation of the distribution of plasma pressure, pressure gradients, and magnetic field near the equatorial plane in the plasma ring surrounding the Earth under magneto-quiet conditions are presented. Observational data obtained during the international THEMIS mission are used. The picture of the distribution of transverse-current density near the equatorial plane was obtained under assumption of observing the magnetostatic balance condition at geocentric distances from 6 to 12R _E. In estimating the integral transverse current it was accepted that in daytime sector the magnetic-field minima on magnetic field lines are not localized in the equatorial plane. Estimates of the integral transverse current were obtained, which demonstrate the possibility of closing nighttime transverse currents at geocentric distances of up to ～12R _E inside the magnetosphere, which form a high-latitudinal continuation of the ring current.     

对老年人体育锻炼负荷量监控方法的探讨

通过对老年人体育锻炼活动的情况进行相关调查，发现目前老年人体育锻炼中存在一些误区。因此本文针对这些现实情况提出，应根据实际情况运用一些简单易行的方法来对老年人体育锻炼实施医务监督，达到提高老年人体育锻炼的科学性。     

Estimating the accuracy of the technique of reconstructing the rotational motion of a satellite based on the measurements of its angular velocity and the magnetic field of the Earth

The paper has studied the accuracy of the technique that allows the rotational motion of the Earth artificial satellites (AES) to be reconstructed based on the data of onboard measurements of angular velocity vectors and the strength of the Earth magnetic field (EMF). The technique is based on kinematic equations of the rotational motion of a rigid body. Both types of measurement data collected over some time interval have been processed jointly. The angular velocity measurements have been approximated using convenient formulas, which are substituted into the kinematic differential equations for the quaternion that specifies the transition from the body-fixed coordinate system of a satellite to the inertial coordinate system. Thus obtained equations represent a kinematic model of the rotational motion of a satellite. The solution of these equations, which approximate real motion, has been found by the least-square method from the condition of best fitting between the data of measurements of the EMF strength vector and its calculated values. The accuracy of the technique has been estimated by processing the data obtained from the board of the service module of the International Space Station (ISS). The reconstruction of station motion using the aforementioned technique has been compared with the telemetry data on the actual motion of the station. The technique has allowed us to reconstruct the station motion in the orbital orientation mode with a maximum error less than 0.6° and the turns with a maximal error of less than 1.2°.     

实施“三位一体”教育模式 提高学生的综合素质

本文介绍了“三位一体”教育模式的内容,描述亍我们实施该模式所采取的措施及取得的成效。实践表明,“三位一体”教育模式能够提高学生的综合素质,为学生毕业后的发展打下坚实基础,对教育模式的改革具有一定的指导意义。     

从应变计现状看电阻式传感器的前景

电阻式传感器的核心部件——电阻应变计是目前最常用的应力分析的敏感元件。也常用于测量力、压力、扭矩和加速度等物理量。作者简要回顾了电阻应变计的发展历史，介绍了电阻应变计的结构、分类及现状，展望了电阻式传感器的前景。     

System of works on numerical modeling of the dynamics of the structure of the Space Radiotelescope in the RadioAstron project

The results of modeling the dynamics of the Space Radiotelescope are presented. The results of ground-based vibration-dynamic tests are used to validate the calculation models and estimate the damping levels. The dynamic distortions of the reflecting surface caused by the operation of the pointing mechanism of the high-gain antenna are estimated.     

Optimization of the trajectory of the spacecraft insertion into the system of heliocentric orbits

The possibility of the spacecraft insertion into the system of operational heliocentric orbits has been analyzed. It has been proposed to use a system of several operational heliocentric orbits. On each orbit, the spacecraft makes one or more revolutions around the Sun. These orbits are characterized by a relatively small perihelion radius and relatively high inclination, which allows one to investigate the polar regions of the Sun. The transition of the spacecraft from one orbit to another has been performed using an unpowered gravity assist maneuver near Venus and does not require the cruise propulsion operation. Each maneuver transfers the spacecraft into the sequence of operational heliocentric orbits. We have analyzed several systems of operational heliocentric orbits into which the spacecraft can be inserted by means of the considered transportation system with electric propulsion (EP). The mass of the spacecraft delivered to these systems of operational orbits has been estimated.     

火箭推进剂液体晃动关机响应的数值仿真

本文采用VOF方法对火箭发动机关机阶段所引起的液体晃动进行了数值仿真，以氧化剂贮箱为例，得到了贮箱无阻尼环和带阻尼环时的晃动仿真图和液体质心变化曲线，检验了VOF方法处理碎波的能力。