基于图形变形法的固体火箭发动机优化设计

基于图形变形法探索固体火箭发动机优化设计空间，通过可视化展示设计空间形态，能够提高固体火箭发动机优化设计效率和质量。采用试验设计方法对设计变量和约束条件重要性进行排序，简化优化模型；采用图形变形法对简化优化模型在不同试验设计点进行可视化分析；可视化选取可行设计空间中目标函数较小的点作为初始点。应用三种常规优化算法对4个不同初始点进行优化计算，计算结果表明，图形变形法优选的初始点使优化效率有不同程度的提高，优化结果具有更好的全局最优解特性；与遗传算法比较，效率提高400倍以上。     

An aerospace bracket designed by thermo-elastic topology optimization and manufactured by additive manufacturing

Combination of topology optimization and additive manufacturing technologies provides an effective approach for the development of light-weight and high-performance structures. A heavy-loaded aerospace bracket is designed by topology optimization and manufactured by additive manufacturing technology in this work. Considering both mechanical forces and temperature loads, a formulation of thermo-elastic topology optimization is firstly proposed and the sensitivity analysis is derived in detail. Then the procedure of numerical optimization design is presented and the final design is additively manufactured using Selective Laser Melting (SLM). The mass of the aerospace bracket is reduced by over 18%, benefiting from topology and size optimization, and the three constraints are satisfied as well in the final design. This work indicates that the integration of thermo-elastic topology optimization and additive manufacturing technologies can be a rather powerful tool kit for the design of structures under thermal-mechanical loading.     

稳态热传导下基于多相材料的一体化设计

提出一种基于多相多孔材料的一体化模型。模型以结构散热弱度最小为目标,以结构体积比与材料微结构质量为约束。引入独立的宏观设计变量和微观相设计变量,通过单元相密度建立两类变量间的联系;基于对等混合材料插值模型建立单元相密度与热传导系数间的惩罚关系;推导得到目标函数灵敏度表达式。求解偏微分方程实现单元散热弱度过滤,消除棋盘格及网格依赖性现象。通过二维数值算例讨论并分析了材料特性、热载荷、体积比约束以及质量约束对一体化优化结果的影响。数值实验结果表明,该建模方法在多相材料/结构一体化稳态热传导优化设计中具有可行性和有效性。     

Aerodynamic optimization of rotor airfoil based on multi-layer hierarchical constraint method

Rotor airfoil design is investigated in this paper. There are many difficulties for this high-dimensional multi-objective problem when traditional multi-objective optimization methods are used. Therefore, a multi-layer hierarchical constraint method is proposed by coupling principal component analysis (PCA) dimensionality reduction and e-constraint method to translate the orig-inal high-dimensional problem into a bi-objective problem. This paper selects the main design objectives by conducting PCA to the preliminary solution of original problem with consideration of the priority of design objectives. According to the e-constraint method, the design model is estab-lished by treating the two top-ranking design goals as objective and others as variable constraints. A series of bi-objective Pareto curves will be obtained by changing the variable constraints, and the favorable solution can be obtained by analyzing Pareto curve spectrum. This method is applied to the rotor airfoil design and makes great improvement in aerodynamic performance. It is shown that the method is convenient and efficient, beyond which, it facilitates decision-making of the high-dimensional multi-objective engineering problem.     

后缘连续变弯度对跨声速翼型气动特性的影响

针对后缘连续变弯度对跨声速翼型气动特性的影响进行了研究。首先不考虑翼型后缘连续变弯度,基于搭建的优化设计系统对跨声速翼型进行气动减阻优化设计,通过添加不同的约束优化得到两种跨声速翼型:无激波翼型和超临界翼型。然后在这两种翼型的基础上,以后缘偏转角度为设计变量、以阻力系数最小为目标,针对不同的升力系数分别进行优化设计,并根据优化结果深入分析后缘连续变弯度对这两种翼型极曲线特性的影响机理。优化结果表明:无激波翼型与超临界翼型相比,其设计点处的气动特性较好,但鲁棒性较差;升力系数小于设计升力系数时,应用后缘连续变弯度后,无激波翼型的极曲线特性明显提高,减阻最高达到3.9%,而超临界翼型的极曲线特性提高不明显;升力系数大于设计升力系数时,应用后缘连续变弯度后,无激波翼型和超临界翼型的极曲线特性都明显提高,减阻分别达到2.4%~18.1%和1.7%~13.2%。     

Stiffeners layout design of thin-walled structures with constraints on multi-fastener joint loads

The purpose of this paper is to present an extended topology optimization method for the stiffeners layout design of aircraft assembled structures.Multi-fastener joint loads and manufacturing constraints are considered simultaneously.On one hand,the joint loads are calculated and constrained within a limited value to avoid the failure of fasteners.On the other hand,the manufacturing constraints of the material distribution in the machining directions of stiffeners are implemented by an improved piecewise interpolation based on a beveled cut-surface.It is proven that the objective function is strictly continuous and differentiable with respect to the piecewise interpolation.The effects of the extended method with two different constraints are highlighted by typical numerical examples.Compared with the standard topology optimization,the final designs have clearly shown the layout of stiffeners and the joint loads have been perfectly constrained to a satisfying level.     

一种面向飞机族的结构优化方法

 飞机族是一组共享通用部件或子系统的、但性能或使用要求不同的相关飞机产品的集合。针对通用模块化飞机族结构优化问题,提出一种基于代理模型的二级优化方法。该方法将结构优化分为两个层次：通用模块结构优化层次和专用模块结构优化层次。这种方法不但流程简单,且各层次的设计变量和约束较少,并且专用模块优化层次之间具有独立性,易于实现并行设计。以某支线客机族的机翼结构优化问题为例,首先阐述飞机族结构优化模型,然后应用本文提出的二级优化方法求解支线客机族的机翼结构优化问题。优化结果表明该方法能成功解决飞机族的结构优化设计问题,能同时优化飞机族中各型号的结构参数。     

Integrated design of topology and material for composite morphing trailing edge based compliant mechanism

The morphing trailing edge based compliant mechanism is a developing technology which can increase lift-drag ratio for variable flight modes by bending down the trailing edge. Composite material design is integrated into topology optimization for the morphing trailing edge based compliant mechanism in the paper. A two-step optimization strategy is established to solve the integrated design problem. Initially, lamination parameters are introduced and viewed as a bridge between structure stiffness and fiber angles for composite material. Design variables include the lamination parameters and element density. The least-squares between actual and desired displacements at output points along trailing edge is adopted to evaluate the deformed capability of the trailing edge. An integrated optimization model for the composite morphing trailing edge is established with the volume constraints. The optimal topologic shape and lamination parameters are initially obtained. Subsequently, a least-squares optimization between fiber angles and the optimal lamination parameters is implemented to obtain optimal fiber angles. Finally, morphing capability of composites trailing edge based compliant mechanism is investigated by simulation and experiments. The results indicate the composites trailing edge based compliant mechanism can approximately bend down 8 degrees and satisfies the design requirement.     

不同约束条件下跨声速涡轮叶栅伴随气动优化设计

发展了一种简化的基于无反射边界理论的伴随方程进出口边界条件确定方法,研究了考虑不同约束的叶片气动外形优化设计。研究结果表明:采用流动强耦合的简化伴随方程进出口边界条件确定方法,能够确定精度较高的伴随灵敏度,在不同类型的伴随气动优化设计中均具有较好适用性。无约束的出口质量熵优化后,出口质量熵降低0.253%,流道面积和出口气流角变化较大。分别考虑出口气流角气动约束、流道面积几何约束和同时考虑上述两种约束的影响,优化后出口质量熵分别降低0.176%、0.227%和0.164%,优化后叶片气动性能显著提升,且满足约束条件。改变叶型曲率能有效减弱激波强度,吸力面前段曲率降低时,流动减速、出口气流角增大,吸力面前段曲率变化较小时,出口气流角约束较好。      

An optimal method of posture adjustment in aircraft fuselage joining assembly with engineering constraints

Posture of an aircraft fuselage can be evaluated based on the coordinate values of measure points fixed on the aircraft fuselage in aircraft final assembly. Posture adjustment is carried out by rotation and translation of the aircraft fuselage to make sure that the actual coordinate values of the measure points are coincided with the theoretical ones read from the computer aided design(CAD) model. The point registration method of posture adjustment without considering engineering constraints may cause out-of-tolerance for some engineering constraints. Hence, engineering constraints such as plane symmetry of two points, as well as coplanar and collinear of the multipoint should be considered in the new optimal method of posture adjustment in aircraft fuselage joining assembly. Based on the point registration model, a multi-objective optimization model of posture adjustment considering engineering constraints including collinear, coplanar, and symmetry constraints is established and represented by a uniform vector function. The weights of constraint conditions can be set freely in the optimization model to reflect the importance of the corresponding constraints in aircraft fuselage joining assembly. The rotation and translation parameters of posture adjustment are obtained by the proposed multi-objective optimization algorithm based on the Gauss-Newton method. Results of an example of aircraft fuselage joining assembly show that constraint errors of posture adjustment obtained by the multi-objective optimization model are not out of tolerance for design constraint errors and satisfy the requirement of aircraft fuselage joining assembly.     

基于名义极限因子和降维方法的涡轮盘结构可靠性优化

结合名义极限因子方法完全实现了可靠性分析与优化过程的解耦,使可靠性分析成为进行优化之前的预分析过程,而在预分析中采用的基于降维的可靠性分析技术,在一阶可靠度方法(FORM)获得的计算结果的基础上进行适晕的数值计算就能够提高可靠性分析的结果.最后,以某涡轮盘结构优化为例对提出的方法可行性和效率进行了验证,结果表明:该方法...     

基于偏置比例导引与凸优化的火箭垂直着陆制导

凸优化由于求解效率高在飞行器轨迹规划和制导中得到广泛研究应用。但是，由于火箭垂直返回制导需要考虑气动力带来的非线性，现有的凸优化求解方法或简单地采取逐次线性化近似凸化最优控制问题，经常出现收敛性问题；或需针对具体问题进行相应的系列凸化剪裁，虽然改善了收敛性，但不同模型的凸化剪裁方法差别很大，通用性较差。为此，将偏置比例导引与凸优化相结合，用以求解存在落角、落速和推力范围约束的火箭垂直返回定点软着陆制导问题。提出的制导方法将该制导问题分解为法向满足落角与落点约束的偏置比例导引，以及切向满足速度与推力约束的凸优化和滚动时域控制制导。在切向制导中，提出利用三次多项式近似飞行轨迹以方便凸优化求解，并建立剩余飞行时间的估算方法以提供给比例导引。仿真结果表明，提出的制导方法能有效满足各种约束，实现火箭精确着陆。与现有的直接采取逐次线性化近似的凸优化方法相比，提出的方法由于将制导进行切向和法向分解，大为简化了凸优化模型，显著提高了求解效率和收敛性。此外，提出的方法无需复杂繁琐的凸化处理，对于一般的推力可控且对末速存在约束的固定终端位置的制导问题皆适用。     

夹层结构前机身有限元分析与优化设计

选用二次等参夹层板壳单元进行结构分析,单元面板厚度及芯层高度作为优化设计变量。对复合材料面板,则每~铺层层数作为设计变量。对复合材料夹层结构前机身模拟试验件进行了有限元分析,在位移和尺寸约束下,对复合材料夹层结构前机身进行了优化设计,并获得满意结果。     

用于结构优化的一种新的两点近似函数

提出一种基于两点信息的近似函数,它在当前设计点能够保证原函数的函数值、一阶导数值和近似二阶导数值;在另一设计点保证原函数的一阶导数值。用该近似函数形成结构优化原问题的序列近似问题,再用约束变尺度法解近似问题。通过典型算例的计算,结果表明本方法具有较好的收敛性和较高的计算效率,适用于结构优化问题的求解     

工程化复合材料结构优化设计方法

复合材料结构的可设计性带来大量设计变量,单靠传统方法难以实现结构优化,复合材料结构优化的铺层优化设计也是关键问题之一。从工程实际出发,探讨具有工程操作性的复合材料结构优化设计方法,形成 从结构布置优化到初始尺寸优化,再到详细铺层优化的三级优化设计方法,并在设计过程中加入符合复合材料 工艺要求的制造性约束;以某飞机复合材料垂尾翼盒结构设计为例,采用该方法对其进行优化设计。结果表明:本文提出的三级优化设计方法是适用于航空复合材料结构优化设计的一种通用方法,可降低结构质量、缩短研制周期。     

可变弯度机翼后缘形态重构光纤监测技术

可变弯度机翼是一种变翼型变体飞行器,在飞行过程中可根据不同的飞行环境自适应调整机翼弯度来提高飞行效率,从而适应复杂多样的任务环境。针对可变弯度机翼后缘形态与偏转角度实时监测需求,研究了一种基于光纤布拉格光栅传感器的机翼后缘形态重构方法。采用数值仿真方法分析可变弯度机翼后缘的形态变化特征,得到可变弯度机翼后缘偏转位移与偏转角度之间关系。给出光纤布拉格光栅传感器布局形式,构建了基于应变和曲率信息递推位移重构原理的机翼后缘形态和偏转角度监测系统。基于光纤布拉格光栅传感器的机翼后缘形态重构相对误差约为6.39%,偏转角度辨识相对误差约为7.47%。研究结果表明,所提方法能够为可变弯度机翼后缘形态感知、姿态自适应调整以及气动外形优化提供技术支撑。     

多相材料结构拓扑优化的周长控制方法研究

针对多相材料结构的拓扑优化出现的棋盘格问题,研究了周长约束控制方法。根据多相材料组分情况下结构有限单元密度变量的定义特点,拓展了周长约束的原始定义概念并提出了相应的4种周长控制约束新格式。以结构最大刚度优化设计问题为例,结合凸规划对偶求解方法验证了4种格式的有效性。计算结果表明:独立控制各类变量周长的方式能更有效地实现多相材料结构的拓扑优化设计,获得消除棋盘格和中间变量值的清晰结果。     

运用低自由度协同优化的机翼结构气动多学科设计优化

 为了解决协同优化方法(CO)协调困难和计算量过大的问题,提出了低自由度协同优化方法(LDFCO)。LDFCO的系统级优化通过调整共享设计变量和辅助设计变量,使系统目标最优,并满足一致性约束条件。子系统优化通过调整局部设计变量,使子系统目标最优,并满足局部约束条件。子系统目标有2种形式：最小化本子系统的一致性约束函数和直接与系统目标有关的状态变量的加权和,或最小化一种不同于前者的一致性约束函数。着重研究了如何利用常规LDFCO/V1和基于代理模型的LDFCO/V1求解机翼的气动/结构多学科设计优化问题,并与CO方法进行了对比,结果表明常规LDFCO/V1和基于代理模型的LDFCO/V1都能成功地应用到机翼的多学科设计优化中,验证了LDFCO/V1的可行性和有效性。     

纤维增强整体叶环/盘强度问题分析

为了尽可能全面剖析纤维增强整体叶环(简称叶环)的优点和结构强度问题,明确纤维增强叶环转子强度优化问题及加工制造要求,利用ANSYS有限元软件,在分析典型纤维增强叶环和特殊纤维增强整体叶盘(简称叶盘)结构的受力特性基础上,结合前期对纤维增强叶环/盘特性的认识了解,提出了纤维增强叶环/盘结构在设计使用中出现的减质、寿命、刚度和热变形不协调等结构强度问题,并分析了这些问题产生的机理,可供纤维增强转子结构设计、加工、试验和检查时参考。     

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。