Solution sensitivity for Karush–Kuhn–Tucker systems with non-unique Lagrange multipliers

This article is devoted to quantitative stability of a given primal-dual solution of the Karush–Kuhn–Tucker system subject to parametric perturbations. We are mainly concerned with those cases when the dual solution associated with the base primal solution is non-unique. Starting with a review of known results regarding the Lipschitz-stable case, supplied by simple direct justifications based on piecewise analysis, we then proceed with new results for the cases of Hölder (square root) stability. Our results include characterizations of asymptotic behaviour and upper estimates of perturbed solutions, as well as some sufficient conditions for (the specific kinds of) stability of a given solution subject to directional perturbations. We argue that Lipschitz stability of strictly complementary multipliers is highly unlikely to occur, and we employ the recently introduced notion of a critical multiplier for dealing with Hölder stability.     

基于波前技术的人眼神经对比敏感度测量

搭建了基于波前像差的神经对比敏感度(NCSF)测试系统。该系统在测试人眼空间对比敏感度(CSF)的同时,利用Hartmann-Shack波前传感器测量人眼波前像差,通过计算进而得到人眼的NCSF。与通过两种设备分别测量全视觉CSF和波前像差获得NCSF相比,该方法避免了不同测试状态下像差波动的影响,简化了测试过程;和传统激光干涉方法测量NCSF相比,该方法避免了激光干涉产生的相干噪音和激光散斑等不利因素,并且通过改变不同亮度不同颜色视标,可以得到不同亮度,不同波长下的NCSF。选用绿光视标对四例正常人眼的NCSF进行了测量,结果表明:该系统可以同时获得人眼的全视觉CSF、屈光系统调制传递函数和NCSF;在同等亮度下,不同人眼的NCSF存在个体差异;对同一个体,NCSF曲线的最大值对应的空间频率比全眼空间CSF曲线的最大值对应的空间频率高一些。     

用激光点火辅助火花诱导击穿光谱技术实现铝合金的高灵敏元素分析

报道了采用激光点火辅助火花诱导击穿光谱技术分析铝合金中痕量元素时的分析行为。用低能量激光脉冲聚焦于样品表面并在放电电极之间产生等离子体来触发高压火花放电以改善火花诱导击穿光谱技术的分析行为。在当前空间几何配置下,研究得到了最佳的放电电压和储能电容等参数并在最佳实验条件下分析了样品中的铜元素,其检出限达到0.7 ppm。激光点火的辅助手段改善了火花诱导击穿光谱技术在元素分析时信号的稳定性、提高了分析精度。同时它还能够有效地降低放电电压,改善其空间分辨本领。研究表明激光点火辅助火花诱导击穿光谱技术具有灵敏度高、稳定性好以及具有较好的空间分辨本领的特点,非常适合于各种合金中的痕量元素分析。     

基于ANN的碳纤维楠竹锚杆锚固力预测研究

为减小对文物本体的破坏,本文基于新疆某土遗址加固保护中碳纤维楠竹锚杆锚固力原位测试试验,考虑锚杆直径、长度、倾斜角以及灌浆体强度、孔径、碳纤维缠绕间距等锚固力影响因素,利用人工神经网络(artificial neural network, ANN) 的误差反向传播(back propagation, BP) 算法及MATLAB 人工神经网络工具箱,建立了锚固力预测的智能模型;并以原位测试所得的数据为学习样本和检验样本,验证了该方法的适用性和可行性. 将训练好的网络模型进行扩展计算,基于L₂₅(5⁶) 正交表试验理论分析了锚固力对各影响因素的敏感性,为同类加固工程的实际应用提供参考依据.     

基于移动车载响应的连续梁损伤识别

应用有限元法将连续桥梁结构离散为两跨耦合欧拉-伯努利梁模型.利用Newmark直接积分法求出在移动车载作用下桥梁的动态响应,并进一步推导出动态响应桥梁对物理参数(如杨氏模量)的时域灵敏度.在反问题中利用基于响应灵敏度的有限元模型修正法识别出桥梁的局部损伤,并讨论了人工测量噪声对损伤识别结果的影响.算例表明本文方法能够快速有效地识别出耦合梁系统的局部损伤,并具有精度高、对测量噪声不敏感等特点.     

基于附加虚拟质量的结构损伤识别方法

针对大型土木结构的模态信息往往对局部损伤灵敏度较低的特点,提出通过在各个子结构上附加虚拟质量的方法提高局部灵敏度,实现整体结构的准确损伤识别。该方法无需在结构上布置真实质量,它首先利用虚拟变形法（VDM）可进行结构快速重分析的思想,由实测结构的激励和加速度响应,构造结构附加虚拟质量后虚拟结构的频率响应;然后结合灵敏度分析和附加质量与频率关系,确定所需附加质量和对应具有较高灵敏度的频率;最后分别在每个子结构上附加虚拟质量,联合所有虚拟结构和对应的频率即可准确快速地识别出整体结构各个子结构的损伤。本文通过两层平面框架有限元模型验证了附加质量损伤识别方法的有效性。     

地层渗透参数反演计算

利用渗流源网格压力(及井底压力)对网格渗透率导数关系(称为渗透率压力场敏感系数)实现由三维渗流方程压强数值解计算井底压力对网格渗透参数导数的计算.基于渗透率压力场敏感系数的计算结果构造地层渗透参数反演方程,由多井系统井压监测数据实现反演地层渗透参数的计算.算例显示:反演方法对均匀(或分块均匀)油藏模型的计算取得了较好的结果,反演迭代10次后计算结果与模型参数的最大相对误差收敛于1%之内.该方法对油藏动态模拟研究及实现油藏参数动态跟踪具有实际意义.     

亏损振系广义状态向量灵敏度的移频算法

由于亏损系统的状态向量系线性相关,故无法实现与非亏损系统类似的解耦及控制,这为亏损系统灵敏度分析带来很大困难。针对这个问题本文摒弃一般状态向量系,首先引入广义状态向量及其伴随向量理论,利用它们具有的良好规范正交关系,实现了灵敏度控制方程解耦,其次使用移频技术,实现了亏损系统状态矩阵的广义状态向量的灵敏度分析。该方法可用于求解亏损系统各频段广义特征向量的灵敏度,算法结构紧凑,易于理解和实施。数值算例结果表明,该算法是可行和有效的。     

A novel sensitivity model for short nets

For modern processes at deep sub-micron technology nodes, yield design, especially the design at the layout stage is an important way to deal with the problem of manufacturability and yield. In order to reduce the yield loss caused by redundancy material defects, the choice of nets to be optimized at first is an important step in the process of layout optimization. This paper provides a new sensitivity model for a short net, which is net-based and reflects the size of the critical area between a single net and the nets around it. Since this model is based on a single net and includes the information of the surrounding nets, the critical area between the single net and surrounding nets can be reduced at the same time. In this way, the efficiency of layout optimization becomes higher. According to experimental observations, this sensitivity model can be used to choose the position for optimization. Compared with the chip-area-based and basic- layout-based sensitivity models, our sensitivity model not only has higher efficiency, but also confirms that choosing the net to be optimized at first improves the design.