Inflatable Wing Design Parameter Optimization Using Orthogonal Testing and Support Vector Machines

The robust parameter design method is a traditional approach to robust experimental design that seeks to obtain the optimal combination of factors/levels. To overcome some of the defects of the inflatable wing parameter design method, this paper proposes an optimization design scheme based on orthogonal testing and support vector machines (SVMs). Orthogonal testing design is used to estimate the appropriate initial value and variation domain of each variable to decrease the number of iterations and improve the identification accuracy and efficiency. Orthogonal tests consisting of three factors and three levels are designed to analyze the parameters of pressure, uniform applied load and the number of chambers that affect the bending response of inflatable wings. An SVM intelligent model is established and limited orthogonal test swatches are studied. Thus, the precise relationships between each parameter and product quality features, as well the signal-to-noise ratio (SNR), can be obtained. This can guide general technological design optimization.     

Footprint Problem with Angle of Attack Optimization for High Lifting Reentry Vehicle

A formal analysis to footprint problem with effects of angle of attack (AOA) is presented. First a flexible and rapid standardized method for footprint generation is developed. Zero bank angle control strategy and the maximum crossrange method are used to obtain virtual target set; afterward, closed-loop bank angle guidance law is used to find footprint by solving closest approach problem for each element in virtual target set. Then based on quasi-equilibrium glide condition, the typical inequality reentry trajectory constraints are converted to angle of attack lower boundary constraint. Constrained by the lower boundary, an original and practical angle of attack parametric method is proposed. By using parametric angle of attack profile, optimization algorithm for angle of attack is designed and the impact of angle of attack to footprint is discussed. Simulations with different angle of attack profiles are presented to demonstrate the performance of the proposed footprint solution method and validity of optimal algorithm.     

Changing law of launching pitching angular velocity of rotating missile

In order to provide accurate launching pitching angular velocity（LPAV） for the exterior trajectory optimization design, multi-flexible body dynamics（MFBD） technology is presented to study the changing law of LPAV of the rotating missile based on spiral guideway. An MFBD virtual prototype model of the rotating missile launching system is built using multi-body dynamics modeling technology based on the built flexible body models of key components and the special force model.The built model is verified with the frequency spectrum analysis. With the flexible body contact theory and nonlinear theory of MFBD technology, the research is conducted on the influence of a series of factors on LPAV, such as launching angle change, clearance between launching canister and missile,thrust change, thrust eccentricity and mass eccentricity, etc. Through this research, some useful values of the key design parameters which are difficult to be measured in physical tests are obtained. Finally,a simplified mathematical model of the changing law of LPAV is presented through fitting virtual test results using the linear regression method and verified by physical flight tests. The research results have important significance for the exterior trajectory optimization design.     

Cathode design investigation based on iterative correction of predicted profile errors in electrochemical machining of compressor blades

Electrochemical machining (ECM) is an effective and economical manufacturing method for machining hard-to-cut metal materials that are often used in the aerospace field. Cathode design is very complicated in ECM and is a core problem influencing machining accuracy, especially for complex profiles such as compressor blades in aero engines. A new cathode design method based on iterative correction of predicted profile errors in blade ECM is proposed in this paper. A math-ematical model is first built according to the ECM shaping law, and a simulation is then carried out using ANSYS software. A dynamic forming process is obtained and machining gap distributions at different stages are analyzed. Additionally, the simulation deviation between the prediction profile and model is improved by the new method through correcting the initial cathode profile. Further-more, validation experiments are conducted using cathodes designed before and after the simulation correction. Machining accuracy for the optimal cathode is improved markedly compared with that for the initial cathode. The experimental results illustrate the suitability of the new method and that it can also be applied to other complex engine components such as diffusers.     

A novel optimal design for an application-oriented synthetic jet actuator

The evaluation indicator for the performance of a synthetic jet actuator （SJA） is well-defined because of its various applications, which require optimal design to improve its performance and extend its field of application. This paper presents a novel approach to the optimal design of an SJA applied to enhance fuel/air mixture. It optimizes the combination of an actuator＇s geometric parameters by selecting the strength of vortex pairs as the evaluation indicator, coupled with orthogonal experiments and analysis of variance （AOV）. The results indicate that slot width is the most notable factor influencing the strength of vortex pairs, followed by cavity height and slot depth. The optimal value of the strength of vortex pairs increases by 32.5%over the experimental data of the base case, and more than 8.4%compared with the simulation results of the orthogonal experiments. It is concluded that the optimal method can effectively improve the performance of an SJA applied in mixing enhancement, reducing the test numbers and the associated design cycle and cost.     

Uncertainty analysis and design optimization of hybrid rocket motor powered vehicle for suborbital flight

In this paper, we propose an uncertainty analysis and design optimization method and its applications on a hybrid rocket motor(HRM) powered vehicle. The multidisciplinary design model of the rocket system is established and the design uncertainties are quantified. The sensitivity analysis of the uncertainties shows that the uncertainty generated from the error of fuel regression rate model has the most significant effect on the system performances. Then the differences between deterministic design optimization(DDO) and uncertainty-based design optimization(UDO) are discussed. Two newly formed uncertainty analysis methods, including the Kriging-based Monte Carlo simulation(KMCS) and Kriging-based Taylor series approximation(KTSA), are carried out using a global approximation Kriging modeling method. Based on the system design model and the results of design uncertainty analysis, the design optimization of an HRM powered vehicle for suborbital flight is implemented using three design optimization methods: DDO, KMCS and KTSA. The comparisons indicate that the two UDO methods can enhance the design reliability and robustness. The researches and methods proposed in this paper can provide a better way for the general design of HRM powered vehicles.In this paper,we propose an uncertainty analysis and design optimization method and its applications on a hybrid rocket motor(HRM)powered vehicle.The multidisciplinary design model of the rocket system is established and the design uncertainties are quantified.The sensitivity analysis of the uncertainties shows that the uncertainty generated from the error of fuel regression rate model has the most significant effect on the system performances.Then the differences between deterministic design optimization(DDO)and uncertainty-based design optimization(UDO)are discussed.Two newly formed uncertainty analysis methods,including the Kriging-based Monte Carlo simulation(KMCS)and Kriging-based Taylor series approximation(KTSA),are carried out using a global approximation Kriging modeling method.Based on the system design model and the results of design uncertainty analysis,the design optimization of an HRM powered vehicle for suborbital flight is implemented using three design optimization methods:DDO,KMCS and KTSA.The comparisons indicate that the two UDO methods can enhance the design reliability and robustness.The researches and methods proposed in this paper can provide a better way for the general design of HRM powered vehicles.     

A fully automated framework for helicopter rotor blades design and analysis including aerodynamics,structure, and manufacturing

This study describes an integrated framework in which basic aerospace engineering aspects (performance, aerodynamics, and structure) and practical aspects (configuration visualiza-tion and manufacturing) are coupled and considered in one fully automated design optimization of rotor blades. A number of codes are developed to robustly perform estimation of helicopter config-uration from sizing, performance analysis, trim analysis, to rotor blades configuration representa-tion. These codes are then integrated with a two-dimensional airfoil analysis tool to fully design rotor blades configuration including rotor planform and airfoil shape for optimal aerodynamics in both hover and forward flights. A modular structure design methodology is developed for real-istic composite rotor blades with a sophisticated cross-sectional geometry. A D-spar cross-sectional structure is chosen as a baseline. The framework is able to analyze all realistic inner configurations including thicknesses of D-spar, skin, web, number and ply angles of layers of each composite part, and materials. A number of codes and commercial software (ANSYS, Gridgen, VABS, PreVABS, etc.) are implemented to automate the structural analysis from aerodynamic data processing to sec-tional properties and stress analysis. An integrated model for manufacturing cost estimation of composite rotor blades developed at the Aerodynamic Analysis and Design Laboratory (AADL), Aerospace Information Engineering Department, Konkuk University is integrated into the framework to provide a rapid and dynamic feedback to configuration design. The integration of three modules has constructed a framework where the size of a helicopter, aerodynamic performance analysis, structure analysis, and manufacturing cost estimation could be quickly investigated. All aspects of a rotor blade including planform, airfoil shape, and inner structure are considered in a multidisciplinary design optimization without an exception of critical configuration.     

Integrated optimization analyses of aerodynamic/stealth characteristics of helicopter rotor based on surrogate model

Based on computational fluid dynamics(CFD)method,electromagnetic high-frequency method and surrogate model optimization techniques,an integration design method about aerodynamic/stealth has been established for helicopter rotor.The developed integration design method is composed of three modules:integrated grids generation(the moving-embedded grids for CFD solver and the blade grids for radar cross section(RCS)solver are generated by solving Poisson equations and folding approach),aerodynamic/stealth solver(the aerodynamic characteristics are simulated by CFD method based upon Navier–Stokes equations and Spalart–Allmaras(S–A)turbulence model),and the stealth characteristics are calculated by using a panel edge method combining the method of physical optics(PO),equivalent currents(MEC)and quasi-stationary(MQS),and integrated optimization analysis(based upon the surrogate model optimization technique with full factorial design(FFD)and radial basis function(RBF)),an integrated optimization analyses on aerodynamic/stealth characteristics of rotor are conducted.Firstly,the scattering characteristics of the rotor with different blade-tip swept and twist angles have been carried out,then time–frequency domain grayscale with strong scattering regions of rotor have been given.Meanwhile,the effects of swept-tip and twist angles on the aerodynamic characteristic of rotor have been performed.Furthermore,by choosing suitable object function and constraint condition,the compromised design about swept and twist combinations of rotor with high aerodynamic performances and low scattering characteristics has been given at last.     

A novel approach of testability modeling and analysis for PHM systems based on failure evolution mechanism

Prognostics and health management (PHM) significantly improves system availability and reliability, and reduces the cost of system operations. Design for testability (DFT) developed concurrently with system design is an important way to improve PHM capability. Testability modeling and analysis are the foundation of DFT. This paper proposes a novel approach of testability modeling and analysis based on failure evolution mechanisms. At the component level, the fault progression-related information of each unit under test (UUT) in a system is obtained by means of failure modes, evolution mechanisms, effects and criticality analysis (FMEMECA), and then the failure-symptom dependency can be generated. At the system level, the dynamic attributes of UUTs are assigned by using the bond graph methodology, and then the symptom-test dependency can be obtained by means of the functional flow method. Based on the failure-symptom and symptom-test dependencies, testability analysis for PHM systems can be realized. A shunt motor is used to verify the application of the approach proposed in this paper. Experimental results show that this approach is able to be applied to testability modeling and analysis for PHM systems very well, and the analysis results can provide a guide for engineers to design for testability in order to improve PHM performance.     

Effect of Variable Selection on Multidisciplinary Design Optimization： a Flight Vehicle Example

Different multidisciplinary design optimization (MDO) problems are formulated and compared. Two MDO formulations are applied to a sounding rocket in order to optimize the performance of the rocket. In the MDO of the referred vehicle, three disciplines have been considered,which are trajectory, propulsion and aerodynamics. A special design structure matrix is developed to assist data exchange between disciplines. This design process uses response surface method (RSM) for multidisciplinary optimization of the rocket. The RSM is applied to the design in two categories: the propulsion model and the system level. In the propulsion model, RSM deter-mines an approximate mathematical model of the engine output parameters as a function of design variables. In the system level, RSM fits a surface of objective function versus design variables. In the first MDO problem formulation, two design variables are selected to form propulsion discipline. In the second one, three new design variables from geometry are added and finally, an optimization method is applied to the response surface in the system level in order to find the best result. Application of the first developed multidisciplinary design optimization procedure increased accessible altitude (performance index) of the referred sounding rocket by twenty five percents and the second one twenty nine.     

多飞行器再入段时间协同弹道规划方法

提出了一种多飞行器再入段时间协同弹道规划方法。首先,在纵向平面内规划满足航程与终端约束的纵向标称轨迹。随后,在采用轨迹跟踪律跟踪纵向标称轨迹的同时,运用考虑初始横侧向状态的多边界航向偏差角走廊策略控制飞行器的横侧向机动,以满足到达时间约束与终端约束,进而实现单枚飞行器到达时间约束下的轨迹规划。在此基础上,完成了飞行器的到达时间分布与飞行能力分析,给出了最小与最大到达时间的分析计算方法,并根据多飞行器协同再入的任务需求完成了协同飞行时间决策。最后,多飞行器协同再入与扰动条件下的仿真结果表明,该方法能够规划出满足到达时间与终端约束的协同再入轨迹,具备良好的计算精度与鲁棒性。     

高超声速滑翔飞行器约束预测校正再入制导

针对大升阻比高超声速滑翔飞行器的再入制导问题,将再入轨迹划分为初始下降段、过渡段和准平衡滑翔段。初始下降段采用定倾侧角飞行,过渡段在最大倾侧角附近飞行,准平衡滑翔段利用数值预测校正方法和准平衡滑翔条件在线设计同时满足过程约束和终端约束的倾侧角制导律。通过标准条件和扰动条件下的仿真结果表明,这种制导律在满足各种约束的条件下,不仅能够达到较高的精度,而且对初始误差具有良好的鲁棒性,能够应付再入时各种不确定性因素的影响。     

基于HP-RPM的高超声速滑翔飞行器轨迹优化

针对含有航路点、禁飞区约束的再入突防轨迹优化问题,提出了基于HP自适应Radau伪谱法(HP-RPM)的分段轨迹优化策略,给出了在含有热流密度、过载、动压、航路点和禁飞区等约束条件下的再入轨迹优化模型;利用HP-RPM对含有再入的最优控制问题进行离散化,将其转为非线性规划问题,并根据航路点所在的位置,对再入轨迹进行分段,以再入滑翔飞行的时间最短为仿真目标函数进行仿真计算。仿真结果表明,此方法可以生成一条满足多种约束条件的高精度优化轨迹,并且用时较短。     

高超声速飞行器并行子空间优化设计

采用正交试验设计方法生成初始数据库,建立二次多项式响应面近似模型,以最大巡航距离为设计目标,机体/推进一体化外形参数和巡航弹道参数为设计变量,对高超声速飞行器进行了多约束多学科的并行子空间优化设计.优化设计获得了多学科融合条件下的最优化外形和弹道参数,可作为飞行器进一步详细设计的参考方案.      

机动飞机／发动机设计参数的一体化选择

发展了一种机动飞机／发动机设计参数的一体化选择方法和软件。根据机动飞机的飞行任务要求，确定设计目标和约束，其中包括飞机性能约束和发动机部件设计约束，并以此对飞机的主要设计参数和发动机循环参数进行一体化优选。该软件由飞机几何、飞机质量、飞机气动性能、发动机非安装和安装性能、发动机质量和外廓尺寸、飞机性能、优化等模块组成。此软件已应用于已有机动飞机／发动机的改型方案论证和未来高机动飞机／发动机方案的分析研究，本文给出部分计算实例。使用此软件的经验表明，计算结果合理，计算精度和所需时间适合于飞机／发动机系统方案论证和初步设计。     

Direct dynamic-simulation approach to trajectory optimization

This paper proposes a new direct method for an efficient trajectory optimization using the point that the dynamics of a deterministic system are uniquely determined by initial states and controls imposed over the time horizon of interest. To effectively implement this concept, the Hermite spline is adopted to interpolate the continuous controls and the system dynamics are integrated with corresponding control parameters in prior. As a result, the optimal control problem can be transcribed into a nonlinear programming problem which has no dynamic equality constraints and no intermediate states in its design variables. In addition, the paper proposes an efficient recursive Jacobian estimation technique and introduces a Jacobian transformation matrix to straightforwardly handle the general state constraints. Important properties of the present method are thoroughly investigated through its applications to the trajectory optimization for a soft lunar landing from a parking orbit, including the detailed analyses for the de-orbiting phase. The computed results are compared with those using the pseudo-spectral method to demonstrate an extreme outperformance of the proposed method in the aerospace applications over the traditional direct method.     

高超声速飞行器再入多段导引方法研究

针对通用航空飞行器(CAV)的再入飞行问题,研究了一种滑翔式再入飞行器的三自由度轨迹快速生成方法。该方法将再入轨迹分为初始下降段、过渡段和占大部分飞行时间的拟平衡滑翔段,引入拟平衡滑翔条件(QEGC),将过程约束转换成倾侧角制导律的上界。结合预测校正方法在线设计满足各种轨迹约束的倾侧角制导律,最后在计算机上进行制导仿真。仿真结果表明,该方法可快速地得到满足过程约束和目标要求的弹道。     

基于非线性规划的高超声速滑翔轨迹优化

研究了最大航程的无动力滑翔轨迹优化问题。为避免间接法的缺点,采用直接单重打靶法将轨迹优化问题转换为非线性规划问题,并利用非梯度优化算法和梯度优化算法相结合的混合优化策略得到最优轨迹。仿真结果表明,在采用更为真实的大气模型和动力学模型条件下,该方法具有较高的求解精度、收敛性以及鲁棒性,降低了初值要求;相对于最大升阻比轨迹,射程提高1.54%。     

有动力空间再入打击飞行器航迹优化

提出了有动力再入打击飞行器的航迹优化方法。基于标准的大气模型、数值的气动模型,考虑地球自转效应,建立了有动力再入打击飞行器的航迹优化模型。将再入航迹分为助推加速段和无动力滑翔段分别优化,从而得到优化航迹。算例表明,该方法得到的航程比最大升阻比航迹增加7.3%。因此,该方法用于有动力再入航迹的优化是有效的、可行的。