HIERARCHICAL ITERATION METHOD TO SOLVE DYNAMIC DIFFERENTIAL EQUATION

1CauseoftheProblemTherearemultitalysystemsindynamicanalysswherethemassandinertiaOfthemaintheyaremuchbiggerthanthoseoftheappendagds,buttheactionofasmallapPendagecanchangethecharacterofmOionofthemaintalydramaticallylforexample,amultitheysystemlike8pin-stdssateiliteanditspassivenutatindamPer.ThesmalldamPerhastheabili-tytochangethesateilitenutationmotbofromanunstablestatustoastableone.Generally,theenergydissipationmethodcanbeusedtoanalyzethiskindOfdampersys-tem.Unfortunately,ifthesystemdynamicr…     

非线性区间迭代法在结构后屈曲分析中的应用

使用区间迭代法跟踪结构后屈曲平衡路径。区间迭代法可以在接近临界载荷处自动解出屈曲前和屈曲后的两个可能平衡位形,从而避免了由于刚度矩阵奇异而使迭代停止的数值困难。一些典型例题的数值解,证明了非线性区间迭代法可以穿过极值点,并能追踪到极值点之后的解曲线,而且对所谓“位移回弹”（Ｓｎａｐ－ｂａｃｋ）问题,区间迭代法仍然是有效的。     

基于SOA-Newton迭代的六自由度平台正解算法

运动学正解是实现六自由度平台高精度控制和三维可视化仿真的基础,但是传统方法存在着求解难度大、精度低的缺陷。针对Newton-Raphson迭代法求解时依赖迭代初值的问题进行了研究,提出了一种基于SOA-Newton迭代的六自由度平台正解混合算法。该混合算法充分发挥了SOA算法的群体搜索性和拟Newton法的局部细致搜索性,同时也克服了粒子群算法后期搜索效率降低和Newton法对初始点敏感的缺陷。以研制的车载位姿平台为例,在Simulink软件中建立了混合求解算法的仿真模型,给出了计算实例,并与单独的Newton-Raphson迭代法和SOA算法进行了对比。对比结果表明,SOA-Newton混合算法具有极好的稳定性和较高的收敛速度及精度,更能满足工程实际应用。     

模糊ISODATA聚类分析方法的改进

模糊在分析方法具有较强的实用性,但传统的基于模糊划分的ＩＳＯＤＡＴＡ迭代方法由于人为引进了参数,因而在数学理论上显得不够严谨,本文对这一问题提出了克服的办法,得到了改进的模糊ＩＳＯＤＡＴＡ聚类分析法。该方法考虑到各个指标对分类的影响不同,必须赋以不同的权重,因而在实用中更符合情况。文中证明了建立改进的迭代方法所需要的两条定理,建立在此基础上的方法数学理论严谨,由此得到的聚类结果更令人信服。文中还结     

功率约束下低相关旁瓣的通导一体化波形研究

通信导航一体化是未来无线系统的发展趋势,可以更加充分地利用频谱资源。设计了一种新的一体化波形,在实现通信符号传递的同时,利用其进行时延测距进而实现相应的定位导航功能。一种联合的优化目标函数被提出,其中以星座图上的范数误差衡量通信性能,以自相关函数的加权积分旁瓣电平衡量波形的定时性能。结合一体化系统的实际,在问题求解时同时考虑了波形总功率约束和波形恒模约束,并采用变量交替迭代优化的算法进行迭代求解。最后利用数值仿真验证了算法的有效性。     

大口径非球面加工中最接近参考球面的精确计算

摆臂轮廓测量技术要求将摆臂精准的装调至待检测非球面的最接近参考球面上，需要精确确定非球面的最接近参考球半径及球心位置，而常规的近似法、精确公式法以及最小二乘法不能满足计算的精度和效率等要求。为了弥补现有算法的不足，文章介绍了一种分阶段逼近最接近参考球半径的计算方法，该算法在最小二乘法的基础上，通过精确线搜索技术以及牛顿迭代法，实现了最接近参考球半径求解的高精度、高效率，并且应用于大口径非球面计算时迭代效率有了较大提高。计算实例结果显示，该算法满足摆臂测量时大口径非球面的最接近参考球半径的求解要求。     

功率约束下低相关旁瓣的通导一体化波形研究

通信导航一体化是未来无线系统的发展趋势，可以更加充分地利用频谱资源。设计了一种新的一体化波形，在实现通信符号传递的同时，利用其进行时延测距进而实现相应的定位导航功能。一种联合的优化目标函数被提出，其中以星座图上的范数误差衡量通信性能，以自相关函数的加权积分旁瓣电平衡量波形的定时性能。结合一体化系统的实际，在问题求解时同时考虑了波形总功率约束和波形恒模约束，并采用变量交替迭代优化的算法进行迭代求解。最后利用数值仿真验证了算法的有效性。     

A policy iteration method for improving robot assembly trajectory efficiency

Bolt assembly by robots is a vital and difficult task for replacing astronauts in extra-vehicular activities (EVA), but the trajectory efficiency still needs to be improved during the wrench insertion into hex hole of bolt. In this paper, a policy iteration method based on reinforcement learning (RL) is proposed, by which the problem of trajectory efficiency improvement is constructed as an issue of RL-based objective optimization. Firstly, the projection relation between raw data and state-action space is established, and then a policy iteration initialization method is designed based on the projection to provide the initialization policy for iteration. Policy iteration based on the protective policy is applied to continuously evaluating and optimizing the action-value function of all state-action pairs till the convergence is obtained. To verify the feasibility and effectiveness of the proposed method, a noncontact demonstration experiment with human supervision is performed. Experimental results show that the initialization policy and the generated policy can be obtained by the policy iteration method in a limited number of demonstrations. A comparison between the experiments with two different assembly tolerances shows that the convergent generated policy possesses higher trajectory efficiency than the conservative one. In addition, this method can ensure safety during the training process and improve utilization efficiency of demonstration data.     

Integration of nanoindentation and finite element method for interpretable tensile properties:A cross-scale calculation method of uneven joints

Nanoindentation testing and its Reverse Analysis Method(RAM) show great potential in understanding the tensile properties of metallic alloys with various microstructures. Nevertheless,the tensile properties of heterogeneous materials such as nickel-based superalloy welded joints have not been well interpreted by combining the microstructures and nanoindentation results, due to their diverse and complex microscopic zones, which throws shade on the properties of separated zones in the material. He...     

一阶微分方程终值问题拟解的存在性

利用拟上下解方法,研究了一阶微分方程终值问题u′(t)=f()t,u(t),u(T)=xT拟解的存在性,并通过构造单调迭代序列得到该终值问题的最大最小拟解。