基于概率断裂力学的管道疲劳寿命分析

采用奇异单元模拟裂纹尖端应力场的奇异性,计算裂纹尖端的应力强度因子和张开应力.以概率论为基础,结合确定性疲劳断裂力学估算方法,考虑参数的不确定性和随机性,应用蒙特卡洛模拟法分析管道的疲劳寿命.结果表明：通过J积分计算得到的裂纹尖端张开应力与计算得到的管道工作应力基本相等.采用蒙特卡洛模拟法进行的一定可靠度和置信度下的疲劳寿命预测能反映评定参数的不确定性,较传统的断裂力学计算结果更安全.     

Nonsingular fast terminal sliding‐mode control for nonlinear dynamical systems

This paper investigates fast finite‐time control of nonlinear dynamics using terminal sliding‐mode (TSM) scheme. Some new norms of fast TSM strategies are proposed, and a faster convergence rate is established in comparison with the conventional fast TSM. A novel concept of nonsingular fast TSM, which is able to avoid the possible singularity during the control phase, is adopted in the robust high‐precision control of uncertain nonlinear systems. Numerical simulation on a two‐link rigid robot manipulator demonstrates the effectiveness of the proposed algorithm. Copyright © 2010 John Wiley & Sons, Ltd.     

小波法的网络流量奇异谱估计

网络流量整形、调度、异常检测、管理与控制及保障QoS需求等都需要了解业务流的局部变化特性.本文给出离散小波及其模极大值的网络流量奇异谱估计算法及影响因素,并通过真实的网络业务数据对算法进行了评估和比较.实验结果表明,两种方法的奇异谱估计能有效刻画网络业务流的局部变化特征,并且能通过奇异谱特征参数之间的差别描述不同业务流之间的差异性,也表明了在一定条件下,离散小波模极大法更加优越.     

Improved Interface Conditions for 2<Emphasis Type="Italic">D</Emphasis> Domain Decomposition with Corners: Numerical Applications

This article deals with a local improvement of domain decomposition methods for 2-dimensional elliptic problems for which either the geometry or the domain decomposition presents conical singularities. After explaining the main results of the theoretical analysis carried out in Chniti et al. (Calcolo 45, 2008), the numerical experiments presented in this article confirm the optimality properties of the new interface conditions.     

一类非线性系统的奇异点克服控制

针对一类非线性系统, 研究存在奇异点时的跟踪控制问题. 在采用反馈线性化方法将对象转换成标准型后, 构造线性补偿器并结合期望轨迹的高阶导数构成伪控制量. 通过引入梯度动力学方法求解控制律, 以克服在控制过程中遇到的奇异点问题. 通过稳定性分析验证了闭环系统的稳定性和跟踪误差的收敛性. 仿真结果表明, 此类控制器具有良好的控制性能, 并且能有效克服奇异点问题.

     

空间机器人目标捕获过程中的载体姿态扰动优化

针对自由飘浮空间机器人在捕获目标的过程中会对其载体姿态产生扰动的问题,提出了一种新的笛卡儿轨迹参数化方法.建立了反映载体姿态变化的日标函数,该函数既可以限制机器人关节角的运动范围,也可以避免动力学奇异的影响.利用遗传算法进行目标函数的优化,有效降低了空间机器人末端执行器在跟踪笛卡儿轨迹时对载体姿态的影响.仿真结果验证了...     

离散线性系统鲁棒非奇异自适应控制的改进

为解决间接自适应控制系统的奇异性或不可控性问题,提出一种新的修正模型辨识参数方法,参数修正策略使系统辨识模型在适应过程中保持能控性。该修正算法同文献「１」给出的算法相比计算量大为减少,进上步提高了控制算法的实时性。     

High-accuracy quadrature methods for solving boundary integral equations of steady-state anisotropic heat conduction problems with Dirichlet conditions

This paper presents the mechanical quadrature methods (MQMs) for solving the boundary integral equations of steady-state anisotropic heat conduction equation on the smooth domains and polygons, respectively. The costless and high-accurate Sidi–Israeli quadrature formula are applied to deal with the integrals in which the kernels have a logarithmic singularity. Especially, the Sidi transformation is used for the polygon cases in order to obtain a rapid convergence by degrading the singularity at the corners on the boundary. The convergence and stability of the MQMs solution are proved based on Anselone's collective compact theory. In addition, asymptotic error expansion of the MQMs shows that the approximation order is of O(h³), where h is the partition size of the boundary. Finally, numerical examples are tested and results verify the theoretical analysis.     

Analysis of singular stress fields at multi‐material corners under thermal loading

The scaled boundary finite‐element method is extended to the modelling of thermal stresses. The particular solution for the non‐homogeneous term caused by thermal loading is expressed as integrals in the radial direction, which are evaluated analytically for temperature changes varying as power functions of the radial coordinate. When applied to model a multi‐material corner, only the boundary of the problem domain is discretized. The boundary conditions on the straight material interfaces and the side‐faces forming the corner are satisfied analytically without discretization. The stress field is expressed semi‐analytically as a series solution. The stress distribution along the radial direction, including both the real and complex power singularity and the power‐logarithmic singularity, is represented analytically. The stress intensity factors are determined directly from their definitions in stresses. No knowledge on asymptotic expansions is required. Numerical examples are calculated to evaluate the accuracy of the scaled boundary finite‐element method. Copyright © 2005 John Wiley & Sons, Ltd.