High-precision shape approximation low-thrust trajectory optimization method satisfying bi-objective index

The shape approximation method has been proven to be rapid and practicable in resolving low-thrust trajectory; however, it still faces the challenges of large deviation from the optimal solution and inability to satisfy the specific flight time and fuel mass constraints. In this paper, a modified shape approximation low-thrust model is presented, and a novel constrained optimization algorithm is developed to solve this problem. The proposed method aims at settling the bi-objective optimization o...     

行星际小推力轨道Lambert解及应用

 为提高行星际小推力转移轨道初始设计精度,提出了基于N次逆多项式逼近的半解析Lambert算法,并基于该算法发展了一种转移轨道初始设计方法。首先,采用N次逆多项式近似小推力轨道形状,应用推力方向假设和位置速度边界条件推导出部分系数及推力大小解析式。接着,分析了飞行时间约束和轨道动力学约束下解的存在性,并给出了关键系数的可行域。然后,利用探测器质量消耗方程建立了Lambert问题求解模型并加以解决。最后,基于所提Lambert算法,通过对连续推力约束进行降维,提出一种求解多圈非固定时间的行星际小推力转移轨道初始设计方法。分别以固定和非固定时间转移任务为例对所提Lambert算法和初始轨道设计方法进行了数学仿真,数值结果表明：相比传统6阶方法,所提Lambert算法在目标轨道半长轴为5 AU时可减少速度增量需求36.63%;所提初始设计方法与最优化方法设计结果接近,可为转移轨道的精确设计提供可行的设计初值。     

惯导系统结构拓扑优化方法研究

针对惯导系统结构拓扑优化问题,提出了一种考虑多工况组合和等效边界处理的优化方法.以惯导系统结构件为研究对象,梳理了不同结构件的载荷工况;以刚度最大为 目标函数,以体积分数、结构频率和最大变形等作为约束条件,研究了变密度拓扑优化方法;以某惯导系统的盖板、惯性台体和外壳体3个结构件为例,进行了优化方法验证.结果表明,与传统设计相比,在满足系统刚度、频率及动态特性的前提下,优化后的3个结构件质量分别减小18.3％、22.6％和18.0％,整体质量减小18.7％,实现了惯导系统结构的轻量化设计.     

基于难度系数平衡的涡轴发动机总体设计方法

为了实现第5代涡轴发动机从概念至初步设计阶段的总体方案设计,发展一种兼顾涡轴发动机总体性能与尺寸质量的总体设计方法。统计并评估国内外典型型号涡轴发动机的技术参数,建立涉及总体性能、总体结构、部件的气动/结构/强度/材料等数据库;在概念设计阶段,应用难度系数选取涡轴发动机的技术参数,开发涡轴发动机总体性能和尺寸质量设计的计算模型及程序。基于设计准则完成涡轴发动机总体性能以及各转子部件气动、结构、强度、尺寸及质量等总体方案设计。结果表明:所提出的总体设计方法能够快速有效的实现涡轴发动机的总体方案设计,并以此方法设计完成轴动功率为1500kW的第5代涡轮发动机,耗油率为0.248kg/(kW·h),功质比为10.26kW/kg。      

低振动旋翼桨叶的动力学优化设计

从工程应用的角度，在桨叶气动外形参数和桨毂型式确定的情况下，探讨在设计阶段如何通过设计参数的选择设计桨叶使桨根切力最小，从而降低直升机相应的振动水平。研究了３种情况的桨叶设计：（１）控制桨叶的固有频率；（２）控制桨叶挥舞一阶振型节点位置；（３）振动水平指数最小。在分析比较的基础上给出了既能降低桨根切力减小直升机相应振动水平又能改善桨叶疲劳状况的桨叶动力学优化设计方法。     

多学科设计优化在非常规布局飞机总体设计中的应用

以飞翼布局飞机总体设计为例,展示如何将多学科设计优化(MDO)方法有效地应用于非常规布局飞机总体设计.基于二级优化方法,提出一种飞机总体MDO实施流程.该流程包括系统级优化、子系统级优化(或评估)和多学科模型生成器3个部分.系统级优化的任务是优化全局设计变量,使系统目标最优.子系统级优化涉及的学科包括气动、隐身、结构、...     

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。     

基于解析解的人字齿轮齿廓修形动态分析

根据人字齿轮传动的结构,考虑时变啮合刚度、齿侧间隙,并把齿廓修形作为一种时变齿侧间隙计入,建立了单级人字齿轮传动的弯-扭-轴耦合动力学模型和相应的非线性动力学方程.对方程的数值解进行分析,发现合理的修形使人字齿轮传动不发生齿面的完全分离.基于多尺度法对不发生齿面完全分离时的人字齿轮传动系统进行了摄动分析,得到了系统在主共振频率附近幅频响应的近似解析解.相比数值方法,解析法具有很高的求解效率.最后,根据近似解析解研究了修形参数对动载系数幅值的影响.研究发现:螺旋角越大使动载系数最小所需的修形量越大,而所需的修形长度越小.另外,使动载系数最小的最优修形参数解域呈新月形,其随着主动轮支承刚度的增大而先增大后减小;随着被动轮支承刚度的增大而持续减小.      

基于幅频特性曲线簇公共点的智能弹簧减振系统参数设计

研究了无阻尼智能弹簧减振系统的一种参数设计方法.采用等效线性化方法将系统中的干摩擦阻尼等效成黏性阻尼,建立系统的数学模型,推导出无量纲化的振动微分方程,得到系统频响特性的解析解.对系统幅频特性进行了数值分析,结果发现:幅频特性曲线簇通过一个公共点,该公共点随质量比的增大向左偏移,随刚度比的增大向右偏移;系统存在一个最优控制参数值,使系统幅频特性曲线峰值最小,其随质量比的增大而减小,但不受刚度比的影响.根据公共点的性质,得到幅频特性曲线簇公共点对应的频率比、最优控制参数和最小振幅的计算公式.确定系统参数的选用原则与范围,并利用公共点提出智能弹簧减振系统参数设计的方法和步骤.      

发动机机匣、支板系统结构动力分析

发展了在环向只能处理连续变量的常规有限条法。分析在环向由若干个离散分布的支板和支架支承的发动机机匣回转壳。各离散支板和支架回转壳刚度的贡献, 是通过支板和壳体连接处位移相等的变换, 将各支板的刚度阵叠加到回转壳的总体刚度阵上实现的。同时证明了位移在环向的Fourier级数展开式中, 只有n=0, n=1项对轴系的支承刚度有贡献。支板及支板附近的壳体的局部应力, 是由局部子结构空间板壳有限元分析得到, 该子结构的边界位移由整体的回转壳分析给出。算例表明, 本文提出的方法能有效地计算轴系的支承动刚度和壳体的局部应力。      

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.     

Low-Sensitivity Design of Optimal Linear Control Systems

The quadratic performance criterion, linear optimal control problem is reformulated to incorporate constraints on trajectory sensitivity. The open-loop solution is obtained for sensitivity functions defined for small plant-parameter variations. This approach has provided a beginning for other attempts to solve the low-sensitivity analytical design problem, as reported in the references.     

Precise output loads control of load-diffusion components with topology optimization

The purpose of this paper is to present a novel topology optimization approach to control precisely the output loads under static loads and harmonic excitations. We introduce the Artificial Bar Element (ABE) at the designated output positions, where the output loads are equivalently measured and constrained with the nodal displacements of ABE. Optimization model is then formulated considering the output load constraints as well as the minimization of strain energy and dynamic displacement responses respectively under the static and dynamic conditions. The influences of the ABEs stiffness, different material usages of the design domain, widths of the output loads constraint intervals and variation ratios of output loads are discussed in detail. The proposed method is verified with several numerical examples with clear and reasonable load transfer paths.     

弯扭复合大负载下电动舵机设计及性能试验研究

针对弯扭复合大负载工况下电动舵机快速性与稳定性匹配的问题,在分析有限空间质量约束下舵机设计要求的基础上,采用基于核心部件与系统仿真及试验验证相结合的手段,提出了一种高刚度高功率密度的抗弯扭复合大负载电动舵机设计方法。详细阐述了高功率密度伺服电机和高刚度传动机构的设计过程,并研制了工程样机。试验结果表明:该电动舵机伺服刚度与功率密度得到显著提升,在复合大负载工况下能够实现高动态高可靠稳定运行。     

复合材料格栅结构稳定性与优化分析

阐述了复合材料格栅结构稳定性及优化分析方法研究概况。指出在格栅结构初级设计阶段可利用拟膜分析法对等效的格栅平板、圆筒及锥筒进行整体屈曲计算即可,而对于复杂构型格栅结构,由于不对称性及拉-压-扭耦合效应存在很难获得解析解,需借助有限法对结构进行非线性求解而求得其真实力学响应,同时还介绍了其他算法,如遗传算法。最后介绍了复合材料格栅结构破坏机理的一些试验方法。     

Comprehensive sizing and optimization method for series-hybrid unmanned convertiplane

This paper presents a novel sizing and optimization approach for the emerging series-hybrid unmanned convertiplane, which can be used to translate the top-level design requirements into the design parameters corresponding to the optimal power supply strategy and minimum total takeoff weight. The method comprehensively considers the design constraints in the rotor, fixed-wing, and transition modes, and pays special attention to the characteristic response of Series Hybrid Electric System (S-HES) in complex application scenarios, especially the coupling of battery power, energy, and state-of-charge under high-power discharge conditions, the variation of fuel economy, and the adjustment of power supply strategy. With proposed method, it’s possible to rapidly explore the design space in the initial design stage and find out the optimal design results with high confidence. A case study was proposed to verify the approach. The results reveal the particularity of convertiplane in terms of power requirements, and prove the necessity to consider detailed S-HES characteristic responses during parameter determination. The optimal design parameters were obtained through the hybrid control parameter optimization, which verified the effectiveness of proposed method. Possible errors and corresponding correction methods were also presented.     

一种高空飞艇螺旋桨结构多目标优化设计方法

为了远离旋转激振力的影响避免桨叶共振,需要提高桨叶的弯曲频率,这不可避免的会增加质量。为了解决低质量与高频率之间的矛盾,提出了一种螺旋桨两目标优化方法。以桨叶最小质量和最大弯曲频率作为两个优化目标,以复合材料的铺层角度、铺层厚度和铺层区域作为设计变量,以最大应变、桨尖最大位移和桨叶50%、75%和85%剖面处的扭转角作为约束,使用非支配排序遗传算法(NSGA-Ⅱ)对螺旋桨进行优化设计,得到了关于质量和频率的Pareto解集。转速为520 r/min的两叶桨的转频为8.76 Hz,穿越频率为17.33 Hz,根据频率在Pareto解集上选取远离这两个点的方案。通过制造与测试,得到的实物桨叶频率为12.29 Hz,距离两个共振点都较远,有效的避免了桨叶共振。      

一种确定模型误差位置的方法

本文首先由解析有限元模型的模态矩阵,得到未测量自由度与已测量自由度模态之间的变换关系,利用该关系对解析模型进行缩聚。然后针对缩聚后的特征方程,利用解析刚度矩阵和质量矩阵以及实测的模态参数确定模型误差位置。模拟结果表明,该方法可行。     

民用飞机复合材料舱门优化设计

复合材料因其具有比刚度大、比强度高、可设计性强等特点而被广泛应用到民用飞机结构上。针对宽体复合材料舱门设计方案，建立有限元模型进行初步分析，然后以刚度设计要求和强度设计要求为约束条件，对复合材料舱门结构的铺层比例进行了优化，达到了复合材料舱门的减重目的。优化后复合材料舱门的重量降低了10%以上，并且满足所有刚度和强度设计要求。本文所做研究为复合材料气密舱门减重提供了一种有效的方法，并且为类似结构的设计提出了参考建议，在工程上具有一定的指导意义。     

Buckling of composite panels: A criterion for optimum stiffener design

In this paper a linear, closed-form analysis of the buckling behavior of an orthotropic plate with elastic clamping and edge reinforcement under uniform compressive load is presented. This is a typical structural situation found in aerospace engineering for instance as stiffeners in wings or the fuselage. All governing equations are transformed in a dimensionless system using common characteristic quantities to gain good analytical access. The buckling behavior is analyzed and generic buckling diagrams are presented. The solutions show excellent agreement with results from literature and numerical analyses.The minimum bending stiffness of the edge reinforcement needed to withstand buckling is examined and a minimum stiffness criterion is presented. Furthermore an absolute minimum bending stiffness is found which is sufficient to enable the reinforcement to act as a near-rigid support for arbitrarily long plates. These criteria are of interest for optimized lightweight design of stringers and stiffeners.