高精度微分求积曲梁单元的建立与应用

首先由能量原理导出曲梁弯曲问题的控制微分方程，在此基础上应用微分求积法原理分别给出了曲梁内点和端点的微分求积方程，由此形成曲梁单元的刚度方程，从而建立了微分求积曲梁单元，并给出了曲梁结构刚度方程的边界条件。通过算例分析，得到了微分求积单元法结构离散时应使单元数量少的原则和求解精度与单元长度比基本无关的性质。与有限元方法的结果比较表明，本文导出的曲梁单元是一种具有很高求解精度的单元。》     

基于能量等效的直齿锥齿轮时变啮合刚度计算

针对直齿圆锥齿轮啮合刚度的计算问题,从微元思想出发,将变截面齿廓划分为若干等截面微段齿段,基于能量等效建立微段齿段啮合刚度计算模型,并利用积分方法获得单齿啮合刚度。此外,基于力平衡和变形协调条件进一步提出了齿轮时变啮合刚度计算模型,同时根据几何关系导出了相应传动误差计算式。利用有限元分析对解析计算模型进行了验证,并分析了误差来源。结果表明:利用该模型不仅能够将直齿锥齿轮啮合刚度计算精度保证在2%以内,还达到了快速求解的目的。      

曲线管道内颗粒运动及对管壁磨损的数值分析

根据张量分析理论,推导出非正交曲线柱坐标系中颗粒的运动方程。对三种类型弯管内两相流动的颗粒运动轨迹,颗粒与管壁面的碰撞以及颗粒对壁面的磨损进行了数值计算。     

动网格技术在增升装置优化中的应用

将基于Denaulay背景图的动网格方法应用于增升装置二维缝道参数优化设计过程中。针对二维增升装置的构型特点和翼型运动的特点,采用了添加辅助点的双层Denaulay背景图动网格方法,并详细论述了辅助点添加、运动技术。为了进一步提高动态网格质量,提出了针对前后缘运动位置中比较极端的两种位置生成两个初始网格,并采用两种初始网格进行动态网格的生成。结果表明新动态网格方法可以为二维增升装置提供高质量的动态网格。     

W型地下井发射环境数值模拟与分析

为研究导弹地下井发射环境,采用计算流体力学方法对W型井导弹发射过程的流场进行了数值模拟。通过将仿真数据与理论计算及试验结果进行对比,验证了计算模型和数值方法的准确性。采用动网格技术处理流场计算区域随导弹运动的变化过程。仿真结果表明,在整个发射过程中燃气流具有反射、引射和充分发展3个阶段,造成发射环境参数有较大变化。分析了压力和温度参数的变化规律。该数值算法和仿真结果可推广应用于发射井的设计、优化及改进。     

基于NURBS曲面的轴变形方法

对基于ＮＵＲＢＳ曲面提出一种轴变形方法。该方法首先定义一条轴线，使物体上每一点与轴上一点对应，然后通过操纵轴的变形来变形物体。该方法用于三维人体模型的建立取得满意效果。     

基于CFD动网格的内装式空射分离研究

研究了使用飞机发射运载火箭时的机箭分离过程.提出了一种可以解决内装式空射分离问题的整体解决方案,主要基于CAD三维实体建模方法、多体动力学方法和结合六自由度运动的计算流体力学(CFD)动网格方法.以CFD动网格计算为核心,进行了空射分离过程关键问题的研究,得到了火箭在载机气动干扰环境下的运动特性,为轨道卫星和弹道导弹的快速、廉价发射打下了研究基础.     

扇环形截面弯曲管道内的粘性流动

本文利用涡量－流函数法系统地研究了扇环形截面弯曲管道内的二次流动，计算结果表明了采用控制体积积分法对涡量－流函数方程进行离散来求解弯曲管道内粘性流动问题是成功的，这样可以避免对压力项的处理；对所得结果的分析揭示了该二次流动不仅受雷诺数和曲率影响，而且扇形中心角、内外径之比对该流动的影响也是显著的。     

Adaptive mesh refinement computation of acoustic radiation from an engine intake

A block-structured adaptive mesh refinement (AMR) method was applied to the computational problem of acoustic radiation from an aeroengine intake. The aim is to improve the computational and storage efficiency in aeroengine noise prediction through reduction of computational cells. A parallel implementation of the adaptive mesh refinement algorithm was achieved using message passing interface. It combined a range of 2nd- and 4th-order spatial stencils, a 4th-order low-dissipation and low-dispersion Runge–Kutta scheme for time integration and several different interpolation methods. Both the parallel AMR algorithms and numerical issues were introduced briefly in this work. To solve the problem of acoustic radiation from an aeroengine intake, the code was extended to support body-fitted grid structures. The problem of acoustic radiation was solved with linearised Euler equations. The AMR results were compared with the previous results computed on a uniformly fine mesh to demonstrate the accuracy and the efficiency of the current AMR strategy. As the computational load of the whole adaptively refined mesh has to be balanced between nodes on-line, the parallel performance of the existing code deteriorates along with the increase of processors due to the expensive inter-nodes memory communication costs. The potential solution was suggested in the end.     

Shape control of spacecraft formation using a virtual spring-damper mesh

This paper derives a distance-based formation control method to maintain the desired formation shape for spacecraft in a gravitational potential field. The method is an analogy of a vir-tual spring-damper mesh. Spacecraft are connected virtually by spring-damper pairs. Convergence analysis is performed using the energy method. Approximate expressions for the distance errors and control accelerations at steady state are derived by using algebraic graph representations and results of graph rigidity. Analytical results indicate that if the underlying graph of the mesh is rigid, the convergence to a static shape is assured, and higher formation control precision can be achieved by increasing the elastic coefficient without increasing the control accelerations. A numerical exam-ple of spacecraft formation in low Earth orbit confirms the theoretical analysis and shows that the desired formation shape can be well achieved using the presented method, whereas the orientation of the formation can be kept pointing to the center of the Earth by the gravity gradient. The method is decentralized, and uses only relative measurement information. Constructing a distributed virtual structure in space can be the general application area. The proposed method can serve as an active shape control law for the spacecraft formations using propellantless internal forces.