Mechanical study on initial profile solution for inflatable reflector made of orthotropic material

The woven fabric membrane materials are widely used in space and terrestrial inflatable reflectors. However the material?s anisotropy makes the design analysis more complex. The deviation from the desired shape, so-called “W-profile error”, influences the precision of the membrane surface significantly. In this study, a model of an axisymmetric paraboloid surface using membrane theory is established for the purpose of facilitating the surface precision optimization. Analytical solutions for displacements of the reflector are derived. An iteration method of initial reflector profile solution is stated and a finite element (FE) software employed in the solution is presented. A case study is illustrated to make a comparison between numerical and theoretical analyses. Finally, the conclusions are drawn that the analytical method and the FE iterative method for initial profile solution are feasible and efficient.     

主控格栅反射器基体结构/压电作动器参数集成优化设计

为提高反射器形面控制能力和减小在轨热变形，本文以锆钛酸铅压电陶瓷(PZT)驱动的主控格栅反射器为研究对象，开展反射器基体结构和PZT压电作动器参数的集成优化设计研究。首先，建立主控格栅反射器有限元模型并通过实验验证了有限元模型的正确性。然后，以形面控制能力最大和热变形最小为目标函数，以设计变量上限、下限和结构基频为约束，采用遗传算法(GA)和非支配排序遗传算法(NSGA II)求解。最后，给出多个仿真算例的优化结果。仿真结果表明，控制能力最大的单目标优化，其热变形远大于控制能力，多目标的帕累托(Pareto)最优前沿可以给出更合理的设计方案。通过优化设计可以显著提高形面控制能力和减小热变形。     

Gradient generation for parametric control models

This paper presents a numerical method for approximating the solution of complex optimal control problems by a constrained function minimization problem in a finite dimensional space. This end is achieved by approximating only the control functions by a finite set of parameters. The computation of gradients with respect to the parameters modeling the control is explored in depth. A hybrid technique combining the rapid gradient generation capability of the method of gradients with the rapid convergence characteristics of finite-dimensional, variable-metric function minimization algorithms is presented. An algorithm for mapping the impulsive response gradient trajectory generated by the method of gradients into a gradient vector of the performance index with respect to the parameters modeling the control function is presented. The class of local parameterizations is shown to have a distinct computational advantage, from a gradient generation point of view, over the class of continuous polynomial approximations. Detailed results are presented for piecewise linear parametric control models. An algebraic transformation is presented for improving inaccurate gradients generated by a widespread computer implementation of the method of gradients.     

大型反射面的充气展开动力学研究

为了掌握大型反射面从收拢状态到完全展开状态的动力学特性，采用气囊模型和控制体积(CV)法对反射面的充气展开过程进行研究。建立了包含中心轮毂、肋板、支撑杆、薄膜圆环和张拉绳的反射面有限元模型，提出逆解法获得折叠收拢状态下反射面的节点坐标，给出了充气展开动力学分析流程，获得了恒定充气速率下展开过程中圆环充气体积、环内压力等参数与展开时间的变化规律。结果表明，采用充气技术可进行大型反射面有序可控展开，反射面的充气展开过程分初始收拢状态、解锁释放、肋板展开、保压稳定四个阶段，地面充气展开试验结果验证了仿真分析的准确性。     

星载高精度反射面模具型面补偿设计方法

为满足高通量卫星对反射面高精度型面和低成本要求，从碳纤维蜂窝夹层结构反射面在固化成型过程中的固化收缩变形角度出发，根据模具型面补偿原理，提出了反射面模具型面补偿设计方法，并基于六面体单元有限元模型和三维正交各项异性材料属性及三点边界约束方法进行了试验验证。试验结果表明，通过型面补偿后的铸铁模具加工得到的两米口径反射面型面精度达到0.096mm均方根（root mean square,RMS），为模具型面补偿和高精度反射面提供了参考。     

面向大型反射面天线结构的机电综合设计与分析系统

针对天线机电分离设计的现状,研究了天线机电综合集成技术和天线组合结构理论, 并采用精确PO法分析天线远区辐射电场,建立了面天线参数化设计的层次结构,解决了由背 架、反射面和中心体等组成的组合结构网格自动划分难题,研制了天线结构分析与电磁计算 综合集成系统。实现了天线虚拟样机的参数化设计、机电性能分析与判断,可获得天线位移 云图、应力云图与电场方向图等准确的重要指标信息。该系统可用来指导天线结构设计人员 的工作,改进天线设计手段和方法,提升设计分析质量,达到缩短设计周期、降低设计成本 的目的。     

Structure design and mechanical measurement of inflatable antenna

This paper deals with the initial shape analysis, cutting-pattern analysis, surface accuracy measurement and modal testing of high-precision inflatable antennas reflectors that are intended for spaceflight applications. The initial shape analysis method, formulated on the basis of membrane theory and elastic mechanics, determines the required as-manufactured shape of the reflective surface of the antenna reflector. On the other hand, the cutting-pattern analysis method, with its formulation based on spring-mass representations, numerically calculates the required cutting pattern of the planar membrane gores that are to be assembled to form the 3-dimensional reflective surface. To validate the effectiveness of the proposed analysis methods, a 3.2-m antenna reflector model was designed, manufactured, and assembled for ground demonstration and testing. The reflective surface accuracy of this demonstration reflector model was measured by a photogrammetric measuring system. Shape adjustments of the reflective surface were performed by systematically adjusting the tension in the cables that were used to mount the reflector to its support structure. It was found that the reflective surface accuracy of the reflector model, as defined by its RMS error from a best-fit parabolic shape, was less than 1 mm. In addition, dynamic and RF tests were also performed on the demonstration reflector model. The test results indicated that the first-mode frequency of the reflector model agreed well with the corresponding analytical prediction, and its radiation pattern was also well focused.     

PLZT光致伸缩层合梁的非接触形状控制

以光电层合梁非接触形状控制问题为研究对象,阐述了PLZT光致伸缩驱动器的工作机理,建立了光-电-力-热耦合情况下的光电有限元模型,通过引入加强假定应变模式和假定自然应变法改善了单元的性能。在此基础上,以光致伸缩驱动器所受到的光强大小为设计变量,以光电层合梁的期望形状与控制形状的差值函数为目标函数,应用有限元法和遗传算法建立了求解基于PLZT光致伸缩驱动器层合梁非接触形状控制问题的一般方法。数值模拟的结果验证了该方法有效,表明该方法能够很好地实现光电层合梁结构的非接触形状控制。     

Dynamic characteristics analysis of deployable space structures considering joint clearance

The clearance in joints influences the dynamic stability and the performance of deployable space structures (DSS). A virtual experimental modal analysis (VEMA) method is proposed to deal with the effects of joint clearance and link flexibility on the dynamic characteristics of the DSS in this paper. The focus is on the finite element modeling of the clearance joint, VEMA and the modal parameters identification of the DSS. The finite element models (FEM) of the clearance joint and the deployable structure are established in ANSYS. The transient dynamic analysis is conducted to provide the time history data of excitation and response for the VEMA. The fast Fourier transform (FFT) technique is used to transform the data from time domain to frequency domain. The frequency response function is calculated to identify the modal parameters of the deployable structure. Experimental verification is provided to indicate the VEMA method is both a cost and time efficient approach to obtain the dynamic characteristics of the DSS. Finally, we analyze the effects of clearance size and gravity on the dynamic characteristics of the DSS. The analysis results indicate that the joint clearance and gravity strongly influence the dynamic characteristics of the DSS.     

基于三维有限元的火箭模态振型斜率预示方法研究

振型斜率火箭是姿控系统设计的重要参数,对飞行任务的可靠性与安全性有着至关重要的作用。依据全箭动特性的测量原理及参数定义,结合三维有限元建模方法和模型修正技术,全面考虑了速率陀螺、惯组安装位置处的局部刚度对振型和振型斜率的影响,建立了基于局部细节精细化建模的全箭模态振型斜率预示方法,并总结了3种不同的振型斜率提取方法,提高了振型斜率的预示精度。同时提供了三维模型振型一维化的方法,解决了使用三维有限元模型计算弹性运动方程式系数的难题。     

有限空间轴对称射流流场的数值模拟

本文在к－ε紊流模型下，采用罚有限元法对有限空间轴对称射流流场进行数值模拟。引用罚函数优化迎风格式和退化积分，建立有限元解法的数值矩阵，在不同截面上求得工，压力和紊流参数分布，计算结果与实验数据十分接近。本文研究结果可应用于火箭发动机的喷射设计和射流量论的研究。     

基于等几何分析的板壳结构形状-拓扑协同优化

板壳结构轻量化设计是工程中的常见问题,采用有限元法对板壳结构进行拓扑优化时,难以获得高质量的网格以精准描述几何模型,且单独使用拓扑优化受制于初始设计空间。提出了一种基于等几何分析的形状-拓扑协同优化方法,该方法执行先形状优化、后拓扑优化的步骤,在最佳结构形状的基础上实现最佳材料布局的优化目标。相比于其他组合形式的优化机制,极大地提高了计算精度与计算效率。采用3个数值算例验证了本方法的有效性与高效性,结果表明,与经典等几何拓扑优化方法相比,可得到更高性能的优化结构,有助于进一步拓宽结构优化的应用范围。     

星载双反射抛物面天线热变形分析

星载天线在轨运行时受到空间外热流的影响，会经历周期性的高低温交变，导致其反射面产生热变形。为了保证星载天线稳定运行，选取某型号星载双反射抛物面天线作为研究对象，采用有限元法对天线高温工况下的在轨温度场进行分析，进而将天线上分布的温度载荷作为边界条件映射到结构场中进行热变形分析；同时详细分析了材料属性、铝蜂窝芯厚度、碳纤维贴层厚度、反射面支撑约束位置等因素对双反射抛物面天线热变形的影响，以期为星载天线结构优化设计提供理论参考。     

Membrane-based space energy collector: A conceptual study

In this work the shape characteristics of a parabolic structure that consists of an initially flat circular membrane subject to solar radiation pressure in the space environment are examined. This problem arises in the analysis of space systems such as solar power collectors and solar sails. This paper presents parametric studies aimed at determining the power concentration capacity of a non-ideally reflecting flat circular membrane as a function of its radius size and thickness. The shape of the deformed membrane is close to parabolic. Both numerical simulations and analytical study show that the thin membrane subject solely to solar radiation pressure can concentrate the sunlight power several hundred times.     

基于均匀化方法的三维编织复合材料等效弹性性能预测

由于三维编织复合材料具有复杂的空间拓扑结构,其力学性能分析通过宏观有限元方法往往因为占用大量的计算机内存而难以实现。从细观结构入手,计算材料的等效弹性模量可大大降低计算量。现建立了等效弹性模量的均匀化列式及有限元求解方法,运用该方法对三维编织复合材料的等效弹性性能进行了预测,并提出了三种单胞模型的周期性边界条件的施加方法。通过该方法得到等效弹性模量与实验结果较为吻合,从而有利于进行下一步的细观应力场计算。     

风洞模型支撑机构有限元模型修正与确认

风洞模型支撑机构有限元建模对预测风洞试验中的结构动力学响应至关重要。然而采用模态试验修正有限元模型需要多轮迭代优化,随着修正参数的增多,数值优化耗时将呈指数化增长。为解决上述问题,联合ABAQUS、MATLAB搭建iSIGHT结构有限元模型修正平台,基于此平台开展某模型支撑机构有限元动力学模型修正,根据试验设计变量对响应的贡献量,筛选灵敏度较高的修正变量;构建前4阶频率差和振型相关性为多目标函数,使用近似建模得到修正变量和目标函数的响应面模型,采用多目标优化方法NSGA-II开展模型修正;修正后的模型前4阶频率差均在10%以内,振型相关性均大于0.8。对修正模型开展动力学响应确认,使用结构模态动力学响应与锤击试验响应作对比,结果显示,修正模型满足工程需求,可用作下一步复杂载荷作用下的结构动力学响应预测。     

星载赋形反射面数传天线优化设计

为了使星载赋形反射面数传天线的波束形状满足设计要求,应用Minimax算法对其进行了优化设计。首先基于几何光学原理得到反射面中截线的初始形状,然后采用Newton插值函数对中截线进行拟合并把插值函数的系数作为优化变量,最终利用Minimax算法对优化变量进行调整来使获得理想的赋形波束。通过对一个X波段赋形反射面天线优化结果的分析及与基于几何光学原理综合算法所得结果的对比,表明此方法的有效性和优越性。数值仿真结果表明：该方法能够保证覆盖角域内任意一点的增益均高于设计指标要求。     

星载天线反射器形面主动控制研究现状与展望

星载天线是卫星系统的重要载荷,在远距离微波遥感、深空探测、军事侦查以及通信等领域起着决定性作用.随着天线频率和增益需求的不断提高,大口径、高精度成为星载天线主要发展方向.传统被动方法难以保证反射器在轨形面精度,而主动控制技术正成为解决这一问题的重要选择.介绍了天线反射器形面主动控制技术相关研究工作的进展,内容涉及形面主...     

柔性绳网动力学建模与天地差异性分析

采用有限元模型研究了柔性绳网系统的动力学特性。针对空间绳网直接弹射展开方式,首先将绳网离散为若干单元,各单元处理为非线性“半阻尼弹簧”模型,然后分别计算各单元所受气动力和重力,最终建立绳网系统多柔体动力学模型。基于所建立的动力学模型分别对柔性绳网在地面和太空展开的动力学过程进行了仿真分析,研究了绳网在展开面积、空间位形和飞行距离等方面的天地差异性及其动力学机理,为未来空间绳网系统的分析设计提供理论参考。     

结构局部刚度变化对小卫星动特性影响

首先针对模块式小卫星动特性进行灵敏度理论分析，分析目标是寻找提高结构动特性的局部位置和参数。然后基于有限元法分析改变局部刚度对结构动特性的影响。小卫星结构动特性分析计算的主要问题是建立计算成本可控的有限元模型，本文详细讨论了小卫星有限元模型建模方法和简化途径，并通过7个算例考察改变模块底板局部刚度、改变适配器支撑刚度、模块问设置弹簧模拟阻尼器等对小卫星结构动特性的影响。灵敏度分析和计算表明，影响动特性的主要因素是模块盒底板刚度和星箭适配器的支撑刚度；增加模块局部刚度以及适配器支撑刚度可以屏蔽星体摆动和包带联结部位的某些频率，同时可以减缓部分中间模块的振幅；在部分模块间设置弹簧可以模拟阻尼器或减振器的效果。另一方面，降低适配器刚度可以增加隔振作用。因而优化模块刚度分布和支撑刚度分布是改进动力学性能的有效途径。本文分析为模块式小卫星动力学修改以及多功能结构设计和主动振动设计提供依据。