Jacobi矩阵的一类广义特征值反问题

在给定部分特征值以及对应的特征向量的前提下,以Jacob i矩阵特征值反问题为基础,提出了一类Jacob i矩阵广义特征值反问题,给出了问题有解的充要条件,并给出了算法。     

瞬态传热问题的微分求积和精细积分求解方法

给出了瞬态传热问题的高效高精度求解方法,该方法分别用微分求积法(DQM)和精细积分法(PIM)离散空间域和时间域.微分求积方法除了精度高、效率高之外,处理复杂边界条件的灵活性也优于有限元法(FEM).用精细积分法处理一阶瞬态传热微分控制方程,不需要增加额外自由度,还可以达到计算机精度.给出了隔热结构4种边界条件下的数值结果.并就上表面恒温、其他面绝热边界条件计算结果与有限元分析结果进行了对比,算例分析表明,采用微分求积和精细积分法布置少量的节点就可以达到较高的精度.      

改进的螺栓连接结构建模方法及其在导弹设计中的应用

对存在接触、摩擦和预紧等非线性因素的螺栓连接结构有限元建模方法进行对比研究,建立了面向某型导弹舱段径向连接结构的求解效率高、适用性强的有限元模型,并分析求解。研究从不同形式的连接结构建模策略和螺栓预紧力施加手段两方面展开,通过基础平板连接结构,验证了4种组合建模方法的精度和有效性,对比优选出最优的建模方法。仿真结果表明,梁单元配合多点约束的建模方法配合直接施加法的预紧力施加方法,是一种可实现导弹舱段径向螺栓连接结构高效求解的有限元建模方法。本研究可作为导弹结构在方案设计阶段的理论基础,同时为下一步的结构优化设计提供有效的技术支持,具有一定的工程应用参考价值。     

一种接触热阻的数值计算方法

分别采用截锥体、圆弧形和三角形模型来模拟实际物体的接触面 ,利用DELAUNAY三角形非结构化网格离散温度场 ,并使用有限元法数值计算接触热阻。通过比较几种模型的计算结果 ,提出控制角为 30°的三角形模型有较高的精度。给出接触热阻的近似计算公式 ,并分析了表面粗糙度对接触热阻的影响 ,所得出的结论在工程实际应用上有一定的参考价值     

用于表面温度测量的导热反问题的误差研究

讨论了用于温度测量的非稳态一维线性导热反问题。通过引入正则参数 ,这种不适定问题得到了稳定的解。在给出非级数形式的分析解后 ,计算误差可以通过数值解与准确解的比较确定。同时讨论了影响计算误差的各种因素。     

Aerial-ground collaborative routing with time constraints

The advancement of autonomous technology makes electric-powered drones an excellent choice for flexible logistics services at the last mile delivery stage. To reach a balance between green transportation and competitive edge, the collaborative routing of drones in the air and trucks on the ground is increasingly invested in the next generation of delivery, where it is particularly reasonable to consider customer time windows and time-dependent travel times as two typical time-related factors in daily services. In this paper, we propose the Vehicle Routing Problem with Drones under Time constraints (VRPD-T) and focus on the time constraints involved in realistic scenarios during the delivery. A mixed-integer linear programming model has been developed to minimize the total delivery completion time. Furthermore, to overcome the limitations of standard solvers in handling large-scale complex issues, a space-time hybrid heuristic-based algorithm has been developed to effectively identify a high-quality solution. The numerical results produced from randomly generated instances demonstrate the effectiveness of the proposed algorithm.     

Geometric problem solving with strings and pins

Humans solve spatial and abstract problems more easily if these can be visualized and/or physically manipulated. We analyze the domain of geometric problem solving from a cognitive perspective and identify several levels of domain abstraction that interact in the problem solving process. We discuss the roles of physical manifestations of spatial configurations, their manipulation, and their perception for understanding problem solving processes. We propose an extension of the classical problem solving repertoire of constructive geometry to approach certain problems more directly than under the compass-and-straightedge paradigm. Specifically, we introduce strings and pins as helpful metaphors for a generalization of the constructive geometry approach. We present classical problems from spatial problem solving to illustrate the ‘strings and pins’ paradigm. Three case studies are discussed: strings-and-pins solutions to (i) the ellipse construction problem; (ii) the shortest path problem; and (iii) the angle trisection problem. Comparisons to formal solutions are drawn. Differences and similarities between the compass-and-straightedge paradigm and the strings-and-pins paradigm are analyzed. Features and limitations of constructive and depictive geometry as well as implications for computational approaches are discussed. The strings-and-pins domain is shown to be more general and less restrictive than the compass-and-straightedge domain.     

基于显式力控制的空间机器人抓捕碰撞力控制方法

针对空间机器人抓捕漂浮目标过程中的碰撞力控制问题,建立了空间机器人抓捕目标的动力学模型及与目标接触的接触碰撞模型;分析了手爪闭合速度和目标初始位置等参数对碰撞过程的影响;在此基础上采用任务优先逆运动学求解方法,设计了基于显式力控制的抓捕接触碰撞力控制方法,并对基于外力控制的碰撞力控制方法和基于显式力控制的碰撞力控制方法进行对比分析。结果表明,基于显式力控制的目标抓捕接触碰撞力控制方法能够实现满足平稳性要求的碰撞力控制,且所需的基座推力和关节控制力矩较小。     

接触热阻的研究进展

在航天器的热控设计中,接触热阻是重要参数之一,其取值准确与否直接关系到热控设计的质量。从理论及实验研究两个方面系统介绍了接触热阻研究的发展状况,在理论研究方面综合叙述了单点理论、多点接触理论这两种理论模型;在实验方面综合叙述了接触热阻的测量方法及导热填料的应用;最后还介绍了接触热阻研究的其它方面。     

小轮双向修形参数对面齿轮副啮合性能的影响

提出了面齿轮传动副小轮双向修形方法,推导了修形小轮及面齿轮齿面方程,建立了考虑安装误差的传动啮合方程,研究了局部共轭面齿轮副的啮合特性.算例分析表明:通过对小轮双向修形,可以获得开口向下的抛物线传动误差,改变双向修形参数值能控制接触路径的走向和传动误差的幅值.该方法能实现对面齿轮副局部共轭啮合特性的预控,对避免面齿轮副传动的边缘接触,抑制其啮合振动、噪声具有重要的理论意义.