中心支撑610mm圆形主镜的超轻量化设计

为满足轻小卫星相机质量更轻、性能更好的要求,对某离轴三反空间相机610mm口径圆形主镜进行了超轻量化设计.选用背部中心单点支撑方式,采用变筋厚和变筋高的设计形式,结合集成优化方法,设计的主镜质量仅为6.23kg,面密度约为21.3kg/m2.并设计了主镜的支撑结构,仿真分析了组件的静、动力学性能.结果表明:三个方向重力工况下主镜的面形准确度(RMS值)均优于6nm,4℃均匀温变载荷工况下主镜的面形准确度优于1nm;主镜组件的一阶自然频率为112 Hz,频响分析的最大应力发生在钛合金柔性连接件的螺栓孔处,最大应力值为104 MPa,远小于钛合金的屈服极限870 MPa.主镜轻量化效果显著,主镜组件的静、动力学性能均满足设计要求,本文所述单点支撑形式的最大适用口径为683mm,为同类型空间反射镜的超轻量化设计提供了思路和参考.     

FINITE ELEMENT METHODS FOR A BI-WAVE EQUATION MODELING D-WAVE SUPERCONDUCTORS

In this paper we develop two conforming finite element methods for a fourth order bi-wave equation arising as a simplified Ginzburg-Landau-type model for d-wave superconductors in absence of applied magnetic field. Unlike the biharmonic operator A2, the bi-wave operator □^2 is not an elliptic operator, so the energy space for the bi-wave equation is much larger than the energy space for the biharmonic equation. This then makes it possible to construct low order conforming finite elements for the bi-wave equation. However, the existence and construction of such finite elements strongly depends on the mesh. In the paper, we first characterize mesh conditions which allow and not allow construction of low order conforming finite elements for approximating the bi-wave equation. We then construct a cubic and a quartic conforming finite element. It is proved that both elements have the desired approximation properties, and give optimal order error estimates in the energy norm, suboptimal （and optimal in some cases） order error estimates in the H1 and L^2 norm. Finally, numerical experiments are presented to guage the efficiency of the proposed finite element methods and to validate the theoretical error bounds.     

结构可靠性仿真方法研究简

可靠性仿真是对复杂结构系统进行可靠性分析计算最为有效的方法,引起了研究者越来越广泛的关注. 综合目前结构可靠性仿真方法研究现状,介绍了蒙特卡罗（Monte-Carlo,MC）法、极限状态方程重构法、随机有限元法（stochastic finite element method,SFEM）进行结构可靠性仿真计算的特点及发展现状,归纳了固体火箭发动机（solid rocket motor,SRM）结构可靠性的特点及当前进行仿真的方法;并在此基础上分析了目前结构可靠性仿真方法及对SRM 结构可靠性进行仿真分析计算时存在的不足及需要进一步研究的内容.     

明渠层流近床面颗粒拖曳力研究

泥沙颗粒受到的拖曳力是泥沙运动的主要驱动力,而当前应用于计算流体力学-离散颗粒法(CFD-DPM)耦合模型进行水沙运动模拟的泥沙颗粒拖曳力公式均没有考虑明渠流底床边壁作用的影响。求解不可压缩Navier-Stokes方程,对明渠层流不同雷诺数条件下床面附近不同高度处颗粒所受拖曳力进行了模拟,根据模拟结果变化规律,提出了综合考虑床面和水流惯性对标准拖曳力影响的修正拖曳力计算公式。与常用的单颗粒标准拖曳力公式和考虑遮蔽效应的多颗粒拖曳力公式相比,采用本文修正公式得到的水沙作用力更接近高精度数值解,应用于CFD-DPM输沙模拟获得的输沙结果与输沙率公式结果一致,应用分析表明输沙模拟应当采用粗糙底床边界。     

Finite element modeling of acoustic scattering from an encapsulated microbubble near rigid boundary

This article proposes a finite element model (FEM) for predicting the acoustic scattering from an encapsulated microbubble near rigid boundary. The validity of the model is first examined by comparing the acoustic nonlinear response of a free microbubble with that obtained by the Church model. Then this model is used to investigate the effect of the rigid boundary on acoustic scattering signals from microbubble. The results indicate that the resonance frequency decreases while the oscillation amplitude increases as the microbubble approaches the rigid boundary. In addition, the fundamental component of the acoustic scattering signal is enhanced compared with that of the free microbubble.     

背部支撑主反射镜的面形分析与支撑点优化

应用有限元方法对背部支撑的主反射镜进行静力学分析.分别对三点支撑和九点支撑进行计算,得到主镜反射面的变形值.以齐次坐标变换法和最小二乘法为理论依据求解反射面变形的PV/RMS值.利用有限元分析软件提供的二次开发功能,编写计算程序,在软件内部调用该程序直接获得PV/RMS值,利用该值作为优化分析的目标函数,寻求背部支撑的最佳支撑点位置.     

一种考虑界面相物性影响的界面单元法

界面是由复杂的界面相简化而成的,界面破坏实际是界面相材料的破坏。数值计算为了方便,如经典模型和内聚力模型等,都把很薄的界面相作无厚度化处理。导致只能考虑界面的面力,而无法考虑界面相内的应力(平行于界面方向的应力)。使界面失效准则先天性地排除了界面相内部应力的影响,从界面相材料失效机理的角度来看这是不够严谨的。本文将界面相材料等效为一种弹性连续体,由界面本构关系推导得到了一种新的界面单元。该单元具有界面参数易确定、对界面相物性可以进行等效描述等优点。通过商用有限元软件ABAQUS和用户子程序UEL实现了数值分析,并与直接物理模型的数值模拟结果进行对比,证明了本方法的简便及准确性。通过对不同界面相厚度结构的进一步分析,探讨了本文方法的可行范围。     

海水养殖鱼类肌肉中微量元素的测定

应用原子吸收光谱法测定了湛江海域十种养殖鱼类肌肉中微量元素的含量。结果表明,海水养殖鱼肌肉中含有丰富的K、Na、Mg、Ca、Zn、Fe等微量元素,经常食用,可以提高机体的免疫力,增强体质,能较好地满足人体对微量元素的需要。     

不可压缩流的并行两水平稳定有限元算法

提出一种数值求解定常不可压缩Stokes方程的并行两水平Grad-div稳定有限元算法。首先在粗网格中求解Grad-div稳定化的全局解, 再在相互重叠的细网格子区域上并行纠正。通过对稳定化参数、粗细网格尺寸恰当的选取, 该方法可得到最优收敛率, 数值结果验证了算法的高效性。     

Magnetic shielding property for cylinder with circular,square, and equilateral triangle holes

The shielding property of cylinder with circular, square, and equilateral triangle holes was investigated by finite element analysis(FEA). The hole area(S_(hole)) plays an important role in magnetic circuit on the surface of cylinder. When Sholeis less than the critical area(S_H), cylinder with three shapes of holes obtained the same remanent magnetization inside,indicating that the shielding property is unaffected by the shape of the hole. Hence, high-permeability material is the major path of the magnetic field. On the condition of S_(hole) S_H, the sequence of the shielding property is equilateral triangle square circular, resulting from magnetoresistance of leakage flux in air dielectric. Besides, the anisotropy of shielding property caused by hole structural differences of the cylinder is evaluated. We find that a good shielding effectiveness is gained in the radial direction, compared with the axis direction. This research focuses on providing a theoretical support for the design of magnetic shield and improvement on the magnetic shielding ability.