On the Second-order Directional Derivatives of Singular Values of Matrices and Symmetric Matrix-valued Functions

The (parabolic) second-order directional derivatives of singular values of matrices and symmetric matrix-valued functions induced by real-valued functions play important roles in studying second-order optimality conditions for different types of matrix cone optimization problems. We propose a direct way to derive the formula for the second-order directional derivative of any eigenvalue of a symmetric matrix in Torki (Nonlinear Anal 46:1133–1150 2001), from which a formula for the second-order directional derivative of any singular value of a matrix is established. We demonstrate a formula for the second-order directional derivative of the symmetric matrix-valued function. As applications, the second-order derivative for the projection operator over the SDP cone is derived and used to get the second-order tangent set of the SDP cone in Bonnans and Shapiro (2000), and the tangent cone and the second-order tangent set of the epigraph of the nuclear norm are given as well.     

LNG船用超低温球阀的低温应力分析及数值模拟

应用有限元分析软件分别对通径为DN15的LNG船用超低温球阀在超低温条件下的应力进行分析。研究了球阀的阀杆、阀颈、阀盖等部件的应力在低温下的数值。研究结果显示出了球阀在低温下的应力集中部位,并提出了改进措施。为超低温球阀的结构设计提供了理论指导。     

夜视像增强器(蓝光延伸与近红外延伸光阴极)的近期进展

２０世纪９０年代以来，夜视像增强器的研究主要朝着两个方向发展：一是研究对于探测、识别与确认沙漠地带或沙地景物有贡献的蓝光延伸（＜５５０ｎｍ）ＧａＡｓ负电子亲和势（ＮＥＡ）光阴极，光谱响应向短波长延伸，使光阴极灵敏度、光增益与鉴别率等性能大大优于标准三代管，从而形成“加强三代管”或所谓“四代管”，其探测性能较标准三代管高一倍；二是研究与夜天空辐射较为匹配、对１．０６μｍ激光有较高响应的光阴极，包括研究ＩｎＧａＡｓ、ＮＥＡ光阴极（１．０～１．３μｍ和１．５～２．０μｍ）和多碱光阴极（１．０～１．１μｍ）这三类近红外（ＮＩＲ）像管，可用于主被动夜视。本文综述了这几个方面的进展及其在夜视中的实际应用。     

超声无损检测中的数字匹配滤波技术

本文在超声无损检测技术中采用线性调频脉冲信号,并用数字化了的电激励信号自身作为数字匹配滤波器,在不同的时延带宽乘积的系统中得到了声脉冲的压缩信号。实验结果与理论预期值符合得很好.对于Hamming和Gaussian时间加权的信号,其旁瓣抑制可分别达到—41.9dB和—41.5dB.数字匹配滤波技术的引入可以有力地改善超声检测系统的性能。     

关于Lipschitz强增生算子的迭代程序

本文在一般的Ｂａｎａｃｈ空间中讨论Ｌｉｐｓｃｈｉｔｚ强增生算子方程解和严格伪压缩算子不动点的迭代逼近问题．我们的结果统一和推广了Ｄｅｎｇ，Ｌｉｕ，Ｔａｎ和Ｘｕ的结果，完整地回答了Ｃｈｉｄｕｍｅ提出的公开问题．     

Effect of Polymerizable Photoinitiators on the UV‐polymerization behaviors of photosensitive polysiloxane

In this contribution, three polymerizable benzophenone photoinitiators containing maleimide group including 4‐maleimidebenzophenone (MBP), 4‐chlorine‐4′‐maleimide benzophenone (CMBP), and 4‐maleimide‐4′‐[(4‐maleimide)thiophenyl]benzophenone (MMTBP) were designed and synthesized to enhance the polymerization degree of photosensitive polysiloxane containing methacryloxy active groups (MAPSO). The polymerization behaviors of the MAPSO cured by different photoinitiators were investigated using Fourier transform infrared (FTIR). It was noted that the MAPSO initiated by MMTBP showed a high carbon–carbon double bond conversion above 80% because of the existence of thiophenyl group which could generate more radicals from the photolysis reaction at the C? S bond. In addition, the thermal stability of the UV‐cured MAPSO were studied by thermogravimetric analysis (TGA), the result showed that the initial 5% mass loss (T _5%) and residual weight percent at 800 °C in nitrogen of the UV‐cured MAPSO initiated by MMTBP systems was 200 °C and 33.8%. Thus, this work provides a new perspective and efficient strategy to improve the polymerization degree of UV‐curable polysiloxanes with carbon–carbon double bonds. © 2017 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2017 , 55 , 1696–1705     

超临界CO2气爆煤体致裂机理实验研究

为提高超临界CO₂气爆低渗透煤层增透技术的应用水平,进一步研究超临界CO₂气爆煤体致裂机理,利用自主研发的超临界CO₂气爆装置,在多通道电液伺服相似材料试验台上,对原煤和混凝土大试件(1 m×1 m×0.5 m)进行了超临界CO₂气爆实验,用动态应变仪采集试件内部监测点处的变形和破坏信息,并用工业窥镜对爆破孔内裂隙分布进行了观测。分析气爆应力波的变化规律和气爆后试件的破坏形貌特征可知,距离气爆孔由近及远依次分为粉碎区、裂隙区和震动区,其形成机理为:超临界CO₂冲击气爆孔周围介质并形成远超介质抗压强度的球面纵波,介质在径向压应力作用下发生粉碎性破坏,形成粉碎区;应力波传播能量逐步衰减,不足以使介质产生压缩破坏,然而脆性材料抗压不抗拉,其产生的环向应力仍然使介质产生径向裂隙,应力波之后具有准静态加载作用的高压CO₂气体进入裂隙形成气楔,促使裂隙进一步发育和扩展,形成裂隙区;裂隙区以外的介质在低能量应力波的作用下只发生震动,未发生明显破坏,即震动区。裂隙的扩展速度与其到气爆孔距离符合“S”形曲线衰减,裂隙的高速扩展发生在粉碎区,低速扩展发生在裂隙区;距离气爆孔越远,测点的峰值应变越小,相同距离内节理裂隙等结构面越复杂,峰值应变减小的幅度越大且应变波形差别越大。     

砂土串囊式充气锚杆承载力的研究

在砂土地层中,串囊式充气锚杆的研究还比较少,其承载特性及受力机理尚不明确.本文基于莫尔-库仑模型和Vesic圆孔扩张理论法,分别对圆柱体、球体、组合体、椭球体假设下的串囊式充气锚杆的扩大段进行计算分析.并将计算结果与试验得到的实测值进行对比.结果表明:四种形状假设中椭球体的形状假设理论值与实测值的误差最小,仅为8.35...     

连续损伤力学基临界奇异指数与破坏时间预测

响应量在临近破坏时呈现出临界幂律奇异性加速特征,是一种被广泛证实的灾变破坏前兆,并被火山、滑坡和岩石破坏实验等后验预测结果证实为一种对破坏时间进行短临期预测的可行方法.但是,奇异性指数测量值的较大分散性导致了对其具体取值的争议和预测效果的不确定性.因此,理解奇异性指数取值特征及其内在物理控制因素,成为了一个核心问题.本文基于连续介质损伤力学和材料时间相关失效特征,构建了刻画损伤加速发展通向破坏过程的力学模型.导出了恒名义应力蠕变加载和控制名义应力随时间线性增大两种典型加载方式下,损伤和应变率加速发展通向破坏的临界幂律奇异性前兆特征.阐明了临界幂律奇异性指数取值依赖于材料损伤与承受真应力之间的非线性关系这一内在物理根源,表明了实际测量中奇异性指数的分散性不完全归结于测量数据误差,而是有着内在物理控制因素.针对破坏前奇异性指数的不确定性,建议了在未知奇异性指数条件下预测破坏时间的方法,并基于花岗岩脆性蠕变破坏实验进行了验证和说明.      

基于邻域贡献权值细化的圆心亚像素定位算法

针对传统的圆心算法过程复杂、定位精度受初始边缘提取效果影响较大等问题,提出了一种基于邻域贡献权值细化的圆心亚像素定位算法。首先引入邻域贡献权值系数,改进传统非极大值抑制法,细化边缘;然后在边缘点的梯度方向对灰度值进行高斯拟合,确定亚像素边缘位置;最后针对边缘突变点提出了基于随机抽样一致的最小二乘法来拟合圆心。实验结果表明,该算法具有较好的精度和稳定性,圆心的提取精度可以达到0.1个像素。