Type synthesis of deployable mechanisms for ring truss antenna based on constraint-synthesis method

Space deployable antenna is the key equipment in realizing the communication and data transmission between the spacecraft and the earth. In order to enrich the configurations of deployable antennas, the type synthesis of deployable mechanisms for ring truss antenna is conducted in this study. First, the principle of the constraint-synthesis method based on screw theory is briefly described, the structure of the ring truss deployable antenna and its folding principle are analyzed, and the ring truss mechanism is divided into upper edges, lower edges and linkages. Then, based on the constraint-synthesis method, the type synthesis of the basic unit edges is carried out, a series of basic unit mechanisms are obtained from combining the basic unit edge mechanisms, and five mechanism units with fewer joints and simple structures are selected. Furthermore, simulation models of the five ring truss deployable mechanisms are built in Solidworks and Matlab software, and the deploying process is verified by the movement simulation. Finally, mechanism characteristics of the five mechanisms are analyzed and discussed, and a prototype is manufactured, verifying the analysis in this paper. This research provides a new way for the type synthesis of spatial deployable mechanisms, and the ring truss deployable mechanisms obtained in this study can be well applied in the field of aerospace.     

Design and analysis of a truss deployable antenna mechanism based on a 3UU-3URU unit

Space deployable structures with large calibers, high accuracy, and large folding ratios are indispensable equipment in the aerospace field. Given that the single-DOF 3RR-3RRR deployable unit cannot be fully folded, this study proposes a 3UU-3URU deployable unit with two kinds of DOF: folding movement and orientation adjustment. First, based on the G-K formula, the DOF of the 3UU-3URU unit is analyzed. Then, the 3UU-3URU unit is used to construct a deployable truss antenna with a curved surface, and the DOF of the whole deployable antenna containing multiple 3UU-3URU units is calculated. The structural design of a deployable antenna with two loops is carried out with specific parameters and geometric relations. Next, a DOF simulation of a basic combination unit composed of three 3UU-3URU units is performed. Finally, a prototype of the basic combination unit is manufactured, and the DOF of the mechanism is experimentally verified.     

3R-3URU可展单元机构及其在构架式可展天线中的应用

提出了一种空间单自由度(DOF)可展单元机构3R-3URU。首先,基于螺旋理论和修正的G-K公式分析了RURUR单闭环机构的自由度,建立了该机构中主动关节和被动关节速度之间的解析关系式,基于此关系式和3个RURUR机构共用首尾转动副的结构特点推导了3R-3URU单元机构的自由度,得到了3R-3URU机构具有1个自由度时各运动副的方向和位置满足的几何关系式。其次,将3R-3URU机构应用于3RR-3RRR四面体可展单元及其组成的球面构架式可展天线中,得到了具有收拢和调姿两种自由度的新型可展机构。最后,利用Adams软件对3R-3URU可展单元机构的自由度和其在四面体构架式可展天线中的应用进行了仿真验证。该3R-3URU可展单元机构具有单自由度、铰链种类少、结构简单等优点,可用于曲面构架式可展天线的支撑机构中,实现大折叠比。     

构架式可展天线机构自由度分析——拆杆等效法

针对四面体构架式可展天线机构的多环耦合特性,提出了一种空间多环耦合机构的自由度分析方法——拆杆等效法。首先拆除四面体基本可展单元机构的耦合约束链,将剩余部分视为一个并联机构,然后应用螺旋理论分析各输出节点的自由度数目及性质,进而构造各输出节点与定节点之间的等效串联运动链,最后复原拆除的耦合约束链得到四面体基本可展单元的等效机构,应用修正的G-K公式计算等效机构的自由度数目,并基于反螺旋理论分析等效机构的自由度性质,从而获得四面体基本可展单元的运动特性。根据四面体基本可展单元的等效机构及其组合方式对最小组合单元及大尺寸构架式可展天线机构的结构进行了化简,并根据其几何特征约束方程推导了最小组合单元及大尺寸构架式可展天线机构的自由度。建立了由27个四面体基本可展单元组成的构架式可展天线机构的仿真模型,对该机构的自由度进行了验证,结果表明提出的拆杆等效法求得的自由度正确,为进一步分析此类天线机构的运动学和动力学奠定了基础,同时为其他类型的空间多环耦合机构的自由度分析提供了一种新的思路。     

一类基于四面体组合单元的模块化构架式可展开天线机构

针对现有基于四面体单元的构架式天线机构结构复杂、收拢率低、运动副数量多等问题，基于3RR-3RRR四面体组合单元和基于3RR-3URU四面体对称组合单元分别提出了两种新型模块化可展结构。以3个组合单元组成的模块化结构为分析对象，首先，详细介绍了模块化结构的组成及虎克铰轴线布置，并利用组合单元本身的自由度数目及性质，采用拆杆-等效-复原的思想，应用螺旋理论和G-K公式分别对提出的两种模块化结构进行了自由度分析，得到了自由度数目及性质。其次，应用Adams动力学仿真软件对两种模块化结构进行运动仿真，仿真结果验证了自由度分析的正确性。以完全展开和完全收拢时机构所占的空间体积比值表征该机构的收拢率，计算现有基于四面体单元的非模块化机构与提出的模块化机构的收拢率。最后，对比分析非模块化机构与模块化机构的自由度数目、运动副数目及收拢率。分析结果表明，基于3RR-3URU四面体对称组合单元的模块化结构既能实现较大收拢率，自由度及运动副数目也相对减少，且组成大型天线时杆件类型较少。研究结果为该类模块化构架式可展天线结构的设计与分析提供一定理论依据。     

空间对称型7R机构运动特性分析及组合应用

提出了一种空间对称型7R机构，可利用此机构组合构造空间可展开机构。通过旋量拓扑图分析了其整体自由度，得到了其运动副轴线方位变化时整体机构自由度数目的变化情况；基于反螺旋理论分析了运动副轴线方位不同的情况下运动输出构件的自由度数目和性质，并针对其瞬时性做了判别，发现其在不同运动副轴线方位布置情况下会出现局部自由度与瞬时自由度；分析了机构在不同驱动情况下的奇异特性，得到了机构在不同的驱动下处于奇异位形时的几何条件；最后选定自由度为1时的空间对称型7R机构组合构造了一类单自由度多棱锥型空间可展开机构，通过设置其运动副轴线方位，可以使其具有较大收拢率，同时当机构完全展开时，奇异特性使得其具有较好的力学性能。通过多个棱锥型空间可展开机构的组合，可以构造出新型大尺度空间可展开机构，在航空航天领域具有较好的应用前景。     

星载平面可展天线支撑桁架的结构效率优化

针对折展结构性能存在多指标且这些指标之间又相互制约的特点,把结构效率引入到可展结构的优化设计中,应用多因素正交试验法对一种空间可展开平板天线支撑桁架的优化问题进行了研究。对其关键几何设计参数进行了分析,建立了桁架结构的优化数学模型,以结构效率最大化作为优化目标,对可展桁架进行了结构优化,得到了支撑桁架各杆件的设计参数。结果表明:结构效率综合考虑了质量和刚度的影响,使结构质量和刚度同时得到优化;长宽比(l/w)是影响可展桁架结构性能的主要因素,对不同优化目标产生影响的次要因素有所不同;截面积对结构效率影响不显著(置信度p=90%),在相同杆长参数配置下,等截面可展桁架的结构效率仅次于变截面方案,但工程经济性最佳。该研究方法有助于在概念设计阶段从系统设计的角度进行空间桁架结构的快速设计与优化。     

Geometric error analysis of an over-constrained parallel tracking mechanism using the screw theory

This paper deals with geometric error modeling and sensitivity analysis of an overconstrained parallel tracking mechanism. The main contribution is the consideration of overconstrained features that are usually ignored in previous research. The reciprocal property between a motion and a force is applied to tackle this problem in the framework of the screw theory. First of all, a nominal kinematic model of the parallel tracking mechanism is formulated. On this basis, the actual twist of the moving platform is computed through the superposition of the joint twist and geometric errors. The actuation and constrained wrenches of each limb are applied to exclude the joint displacement. After eliminating repeated errors brought by the multiplication of wrenches, a geometric error model of the parallel tracking mechanism is built. Furthermore,two sensitivity indices are defined to select essential geometric errors for future kinematic calibration. Finally, the geometric error model with minimum geometric errors is verified by simulation with SolidWorks software. Two typical poses of the parallel tracking mechanism are selected, and the differences between simulation and calculation results are very small. The results confirm the correctness and accuracy of the geometric error modeling method for over-constrained parallel mechanisms.     

Design and analysis of truss deployable antenna mechanism based on a novel symmetric hexagonal profile division method

As the deployment, supporting, and stability mechanisms of satellite antennas, space-deployable mechanisms play a key role in the field of aerospace. In order to design truss deployable antenna supporting mechanisms with large folding rate, high accuracy, easy deployment and strong stability, aiming at the geometric division of the parabolic reflector, a novel method based on symmetric hexagonal division and its corresponding modular truss deployable antenna mechanism is proposed, and the original method based on asymmetric triangular division and its corresponding mechanisms are presented for comparative analysis. Then, the screw theory is employed to analyze the mobility of different mechanisms. Furthermore, the improved three-dimensional mesh method is used to divide the reflector surface of a large parabolic antenna designed by the two different methods, and the profile accuracy and the type of links are taken as the evaluation indexes to quantitatively analyze the division results. Finally, a three-dimensional model of the modular deployable mechanism based on the symmetric hexagonal design is developed, and the deployable mechanisms with different configurations based on the two design methods are compared and analyzed from the mechanical perspective. The research results provide a good theoretical reference for the design of deployable truss antenna mechanisms and their application in the aerospace field.     

Optimizing accuracy of a parabolic cylindrical deployable antenna mechanism based on stiffness analysis

Accuracy of the fitted surface is of great importance to the performance of deployable antennas utilized in space. This paper proposes a stiffness analysis based fitting accuracy optimization method for achieving the optimal parameters of the parabolic cylindrical deployable antenna mechanism. The stiffness matrix of the proposed cylindrical antenna mechanism is established by assembling the stiffness of beams and tension cables. Structural deformations of the mechanism are calculated where the tensioned cable is substituted by a 2-node truss element and an equivalent force acting on the joint. Consideration of the tensity of tension cables, namely tensioned or slack, is transformed into a typical linear complementarity problem. Comparison between structural deformations of the mechanism fixed at different points is performed. Sensitivities of the geometric and structural parameters on fitting accuracy are investigated. Influence of force of the driven cable on structural deformations of antenna operated in different orbits is conducted. A fitting optimization method is proposed to minimize the structural deformations subject to constraints on volume and mass. Simulation result shows that the fitting accuracy of the antenna mechanism is improved significantly through the optimization. The proposed method can be utilized for the optimal design of other deployable mechanisms constructed by joining rigid links.     

Deployment of SMP Miura-ori sheet and its application: Aerodynamic drag and RCS reduction

Origami, such as Miura-ori, is the art of folding two-dimensional materials into complex, elaborate, and multifunctional three-dimensional objects. In this paper, SMP MO sheet are prepared, and the accuracy of deployable process is verified by experiments. The folding and deployable process of SMP MO sheet is divided into 4 stages, and each stage is described in detail. The stiffness of smart deployable stage is characterized by an exponential decline at the beginning and a gradual decrease to 0, and this is similar to the theoretical shear equivalent modulus in the Y direction. The effects of various parameters on strain and stress are also explored. The purpose of studying these mechanical characteristics is to provide driving force reference in application; In terms of application, the flow field and electromagnetic characteristics of MO sheet in different directions are studied. The aerodynamic drag and RCS reduction of MO unit cell and graded MO sheet during the deployable process are evaluated. When the dihedral fold angle is about 45°, the RCS reduction and drag reduction characteristics of MO sheet are relatively optimal, which is most beneficial to morphing aircraft.     

大型可展开天线太空结构频率预测

由于空间大型可展开天线口径较大,在地面模拟太空环境难度高,使得直接在天线原型上进行性能测试非常困难或不可能。为了解决该问题,提出了一种“两步法”,利用空间大型可展开天线的缩比模型进行地面性能测试,以预测天线原型在太空中的工作性能。据此对周边桁架可展开天线太空工作的结构固有频率进行性能预测研究,首先推导了结构固有频率的相似准则,然后考虑结构参数畸变的影响,得出其相似性经验公式,最后研究了温度变化对结构频率的影响,得出了预测大型天线太空工作性能的经验公式。仿真结果验证了该方法的有效性,该方法可应用于其他空间结构的设计和性能预测。     

Structural design and model fabrication of cable-rib tensioned deployable parabolic cylindrical antenna

Deployable mechanisms with light weight and high storage ratio have received considerable attention for space applications. To meet the requirements of space missions, a parabolic cylindrical deployable antenna based on cable-rib tension structures is proposed and verified by a physical prototype. The parabolic cylindrical antenna adopts simple parallel four-bar mechanisms to construct the basic deployable unit, and the cylindrical direction dimension can be easily extended by modularization, which has obvious advantages in storage ratio and area density. Considering the complexity of the entire antenna structure design, including cable networks and flexible trusses, the form-finding design optimization model of a parabolic cylindrical antenna is established using the force density sensitivity method, and then the kinematics analysis of the deployable mechanism is carried out. Finally, a single-module prototype with a deployable diameter of 4 m × 2 m was designed and fabricated. The results of the ground deployment process test and surface accuracy measurements show that the antenna has good feasibility and practicability.     

完全解耦3T2R并联机器人构型综合方法

针对并联机构内部耦合性带来运动学和动力学分析困难的问题,基于G_F集理论提出一种简单而有效的三移动两转动(3T2R)完全解耦构型综合方法。首先,阐述G_F集并联机器人构型理论;其次,根据G_F集的求和运算和转动轴线迁移定理,给出了机构输入运动副选择原则以及解耦支链设计准则;按照完全解耦并联机构设计步骤,列举出了3T2R并联机构各解耦分支运动链,综合出了含有单、双驱动支链的3T2R五自由度完全解耦并联机构,得到了大量新构型;通过所综合出的一种新型并联机构,运用约束螺旋法对机构的自由度数目和运动特性进行分析,根据机构输入与输出参数间关系式,求解得到机构雅可比矩阵,验证了机构的解耦特性,进一步证明了该构型方法的有效性。研究对解耦并联机构的构型设计具有理论指导意义。     

实现结构轻量化的新型平流层飞艇研究进展

平流层飞艇具有极高的实用价值,是国内外临近空间开发的研究热点。和中低空常规飞艇相比,由于单位体积所提供的浮力大大降低,使得平流层飞艇设计时存在艇体体积、阻力和重量之间的循环关系,飞艇结构轻量化成为平流层飞艇研发的首要课题,受到了各国研究机构的高度重视。本文对目前实现平流层飞艇结构轻量化的主要方法和技术进行了整理,给出了利用这些方法实现结构轻量化的平流层飞艇研究进展,比较了这些方法的优势和不足,并对新型的平流层展开飞艇技术进行了分析。分析结果认为改进蒙皮材料性能、改变飞艇的结构形式和利用新型的空中展开飞艇将是平流层飞艇实现结构轻量化的主要手段,新型空中展开飞艇能够有效地实现结构轻量化,具备较好的发展潜力。     

铰链对含铰结构非线性动力学特性影响分析

针对可展结构中铰链带来的展开后非线性动力学问题,建立了含铰结构的动力学模型。基于铰链侧向和径向的几何约束关系,分析了不同约束条件下的铰链非线性特性。基于谐波平衡法（HBM）,对含铰结构的非线性变量进行一次谐波展开,得到铰链非线性力的谐波展开表达式,将含铰可展结构的非线性动力学方程转化为代数方程。分析了铰链在不同非线性特性下各参数对结构动态特性的影响,得到结构固有频率随铰链间隙、刚度和激振力的变化规律。考虑铰链的非线性特性,通过固有频率脊线求解,得到结构固有频率极值随铰链数量、位置和刚度的变化曲面,并对其进行非线性拟合,得到铰链参数对结构固有频率的影响函数,其计算方法和结果在多维复杂结构中具有一定的扩展性,为可展结构的设计和研究提供参考。利用龙格库塔法对非线性结构进行数值仿真,得到结构的固有频率变化曲线,仿真结果表明了利用HBM进行含铰结构动力学分析的正确性。     

变刚度纤维曲线铺放复合材料层合板的有限元建模和拉伸特性分析

通过对变刚度铺放路径进行数学建模,得到变刚度复合材料层合板的拓扑构型,对复合材料层合 板内每个离散单元的每个铺层进行纤维角度和铺层厚度的独立设计。然后将拓扑构型数据导入有限元分析软 件GENESIS 中,实现层合板铺层信息的可视化显示和拉伸性能的分析,得出层合板的弹塑性本构关系。通过 仿真数据与实验测试数据进行对比,得出在所构建的变刚度复合材料层合板模型上进行拉伸实验仿真的准确 度可达95% 。该方法不仅可以可视化地展现出铺放过程中发生重叠的位置、整个复合材料层合板的厚度分布 以及每层上铺放角的分布,还可对其在弹塑性范围内的拉伸性能进行精确仿真。     

Limit cycle oscillation control of wing with static output feedback control method

This paper presents a static output feedback controller (SOFC) for aeroelastic control of a cantilevered rectangular wing in low subsonic flow. For this purpose, an optimal formulation of this control method is developed, and a solution method is proposed for the related matrix equation. This optimal solution is obtained by solving combined Lyapunov and Riccati equations. At first these equations are transformed into a set of nonlinear algebraic equations and then are solved with iterative Newton–Raphson?s method. This solution method is applicable to the full state feedback case. The controller is designed to extend flutter boundary and suppress limit cycle oscillation (LCO) of a low aspect ratio rectangular nonlinear structural wing. This structural nonlinearity is given by Von Karman plate theory. Both full and reduced order aerodynamic models are examined based on the modified vortex lattice theory. Results show combination of SOFC with reduced order aerodynamic model would be an effective choice for aeroelastic stabilization, and this controller has a very comparable result with linear quadratic regulator (LQR).     

返回舱/空间探测器热防护结构发展现状与趋势

针对中国天地往返和深空探测领域对热防护结构的需求，综述了国内外返回舱和空间探测器热防护材料/结构的发展现状，着重介绍了包括蜂窝增强热防护材料、纤维增强热防护材料、组合式热防护结构以及展开式热防护结构等在内的代表性热防护材料/结构的设计理念和性能特征。在系统总结热防护结构发展趋势的基础上，分析了返回舱和空间探测器热防护结构发展中存在的关键问题，可以看出：纤维增强热防护材料在热防护结构重量方面表现出了突出优势，材料拼接设计成为结构发展的重要阻碍；组合式热防护结构设计在现有材料发展水平的基础上，将成为提高热防护结构效率的有力途径；展开式热防护结构有望使航天器有效载荷重量显著提升，但受限于柔性热防护材料性能和结构工艺，仍有待发展。更加频繁的天地往返运输和深空探测项目的开展必将对热防护结构发展产生巨大的推动作用。     

主被动复合驱动空间探测柔性伸杆机构的参数匹配

基于主被动复合驱动的思想提出一种大伸展/收拢比、高载荷/自重比的新型伸缩式伸杆机构,以满足微纳探测器的实际应用需求,用于支撑各类探测载荷远离航天器本体,避免本体剩磁对空间待测信号的干扰,保证探测数据的准确性。首先,探索描述被动驱动源（弹簧铰链）的力矩驱动特性;然后,分析柔性伸杆的弯曲、扭转、压平和卷曲等力学性能。在此基础上,结合建立的柔性伸杆伸展速度、负载动能、弹簧铰链势能及主动驱动（电动机）力矩等参数的能量流约束方程,进行主、被动驱动和柔性伸杆的参数匹配研究;最后,利用有限元软件仿真和样机平台实验验证了参数匹配的合理性。仿真与实验结果表明,针对主被动复合驱动的空间探测柔性伸杆机构,通过合理的参数匹配,可实现柔性伸杆无褶皱地平稳伸展和收拢,为后续的机构设计和控制方案奠定了基础。