地质构造的三维可视化

地质构造三维可视化可以将地质勘探数据用直观的图形方式显示,是正确认识地质构造的重要手段,从而为油藏描述提供科学的依据.通过根据已知地质数据的三角剖分和插值,建立了地层层面、断面三角网格模型.研究了地质层面、地质整体模型、地质立体剖切和动态模型等多种三维地质模型可视化流程.提出了建立地质立体模型的方法,即由缝合相邻地层层面、相邻断线分别形成的地质体边界面和断层三角形环状曲面,以及顶地层三角网格层面,共同围成三维地质立体模型.在这一过程中,实现了最近邻优先重构、地层层面三角网格模型的外边界闭合圈多边形追踪及平面与三角网格求交线等关键算法.实验结果提供了从整体到局部的多种地质构造显示手段,从而帮助人们准确快速掌握地质构造.      

轴向流中圆柱体的非线性动力学分析

通过引入流体摩擦力的二次阻尼项,推导出了轴向流中两端简支圆柱体的新的运动微分方程。对添加二次阻尼项的运动微分方程进行了无量纲化和Ritz-Galerkin离散。通过数值模拟,对两端铰支圆柱体的稳定性进行了系统的分析,并得出颤振发生的临界流速条件。     

半柔壁喷管机构动力学仿真技术研究

基于刚柔耦合动力学仿真软件ADAMS,设计了半柔壁喷管的机构动力学仿真流程。在此基础上,针对柔性壁板的大挠度变形以及螺钉联接接触等非线性问题,综合分段线性化、等效刚度等处理方法,建立了半柔壁喷管机构动力学仿真模型。经与NASTRAN软件非线性有限元计算以及柔壁力学试验等结果比较,表明该半柔壁喷管机构动力学仿真模型具有较高的合理性和正确性。最后,检查了柔壁型面与气动型面之间的吻合度,并且分析了推杆驱动位移对试验段静压的影响关系。     

有向切换拓扑下非线性多智能体系统的一致性控制

本文研究有向切换拓扑条件下无领导者的Lur'e型非线性多智能体系统的动态一致性问题。设计了基于协同邻居输出信息的观测器类型的动态一致性算法,可以保证在邻居状态信息未知情况下系统达到一致。利用Laplacian矩阵的特殊性质以及Laplacian矩阵的降维变型形式,提出了一种新的拓扑依赖的多重Lyapunov函数构建方法,进而将切换拓扑下的一致性问题转换为低维切换系统的稳定性问题。该方法放宽了对拓扑条件的约束,实现了网络拓扑依赖矩阵和系统动态依赖矩阵的独立设计。再利用多重Lyapunov函数法结合线性矩阵不等式方法对系统进行稳定性分析,给出动态一致性控制器的反馈矩阵的求解方法,得到了平均驻留时间条件。结果表明,提出的方法可使得Lur'e型非线性多智能体系统达成一致,只要满足每个候选拓扑中都包含有向生成树且切换拓扑的平均驻留时间大于一个指定的阈值。     

基于变分贝叶斯的星载雷达非线性滤波

星载雷达由于其探测范围广、距离远、全天候等优点,在预警防御系统中占有十分重要的地位。然而,由于观测平台的高速运动以及摄动干扰、传感器观测非线性等问题,使得星载雷达目标高精度跟踪带来严峻挑战。针对星载雷达非线性状态估计问题,采用一种基于变分贝叶斯的非线性滤波方法,该方法通过将非线性状态估计问题转化为优化问题,通过迭代优化获得了闭环解析解。此外,针对坐标变换中俯仰角量测缺失问题,提出了一种基于先验目标高度的俯仰角估计方法。通过数值仿真,验证了所提方法较传统非线性滤波方法,如扩展卡尔曼滤波、不敏卡尔曼滤波、转换量测卡尔曼滤波,具有更好的估计精度。     

基于边界变差最小的高精度有限差分格式构造

从加权紧致非线性（WCNS）高精度有限差分格式出发,在其重构形式的基础上,根据边界变差最小（BVD）原理,遵循单元边界两侧重构物理量值之差最小的准则,在每个单元内通过两步空间重构,构造了一种新的高精度有限差分格式。一般对WCNS等加权非线性格式的改进都是基于改善色散耗散特性、优化非线性权、提高分辨率等单一途径,将它们作为重构候补函数进行结合,既保持了各自优势所在,又能控制格式整体黏性,所得格式具有丰富的应用场景。通过数值实验,将结果与单一格式进行对比,新格式既能在流场光滑区保证设计的精度,对激波等间断附近的振荡也有很好的抑制作用,提高了对高波数区的分辨率,而且在长时间计算后也有较为精确的结果。面向广泛发展的数值格式,还可以构造出其他新方法,对包含强间断和多尺度的流动问题可以获得更好的结果。     

l1-based calibration of POD-Galerkin models of two-dimensional unsteady flows

This paper discusses a physics-informed methodology aimed at reconstructing efficiently the fluid state of a system. Herein, the generation of an accurate reduced order model of two-dimensional unsteady flows from data leverages on sparsity-promoting statistical learning techniques. The cornerstone of the approach is l₁ regularised regression, resulting in sparsely-connected models where only the important quadratic interactions between modes are retained. The original dynamical behaviour is reproduced at low computational costs, as few quadratic interactions need to be evaluated. The approach has two key features. First, interactions are selected systematically as a solution of a convex optimisation problem and no a priori assumptions on the physics of the flow are required. Second, the presence of a regularisation term improves the predictive performance of the original model, generally affected by noise and poor data quality. Test cases are for two-dimensional lid-driven cavity flows, at three values of the Reynolds number for which the motion is chaotic and energy interactions are scattered across the spectrum. It is found that: (A) the sparsification generates models maintaining the original accuracy level but with a lower number of active coefficients; this becomes more pronounced for increasing Reynolds numbers suggesting that extension of these techniques to real-life flow configurations is possible; (B) sparse models maintain a good temporal stability for predictions. The methodology is ready for more complex applications without modifications of the underlying theory, and the integration into a cyber-physical model is feasible.     

浅析振动试验中结构非线性引发的现象

火箭、卫星、导弹等航天产品普遍存在着结构非线性。在这些产品的振动试验中常常出现固有频率漂移、谐波响应等现象,并且会带来部件间固有频率耦合、碰撞振动、振动试验控制超差等问题。本文章从结构非线性入手定性的地分析了引发这些现象的原因,并介绍一些解决措施,为振动试验中类似问题的分析和解决提供参考。     

正弯涡轮叶栅内旋涡结构的数值模拟

对某型涡轮正弯及直叶栅流场进行了三维粘性求解。给出了马蹄涡及通道涡的详细演化过程。通过对弯直叶栅两类流场拓扑结构上的差异分析,指出与直叶栅相比采用合适的弯角后正弯叶栅有利于形成稳定的通道涡,并且在相当大的轴向弦长范围内保持着这种稳定的涡结构。并将其对损失的影响进行了分析     

PREDICTIVE VARIABLE STRUCTURE CONTROL FOR A CLASS OF NONLINEAR SYSTEM

Nonlinear sliding mode predictive controller is designed for a class of nonlinear system with unmodeled dynamic characteristics and nonlinear term. The method is based on nonlinear optimal predictive control. The variable structure control law minimizes the quadratic index of a predictive sliding mode, which contains the cost function of control preventing the control effect from saturation for in most practical implementation the control inputs are bounded by physical constraints and energy constraints. According to the immeasurable states, the variable structure observer for nonlinear systems is adapted. The variable structure system method is apt to the realization of observer with variable parameters and uncertainty. The proof shows that the states of the observer asymptotically convergence to the real states of the system although it is of uncertainty and nonlinear terms. Finally, the digital simulation results prove the effectiveness of the proposed method.