Inexact Newton method via Lanczos decomposed technique for solving box-constrained nonlinear systems

This paper proposes an inexact Newton method via the Lanczos decomposed technique for solving the box-constrained nonlinear systems. An iterative direction is obtained by solving an affine scaling quadratic model with the Lanczos decomposed technique. By using the interior backtracking line search technique, an acceptable trial step length is found along this direction. The global convergence and the fast local convergence rate of the proposed algorithm are established under some reasonable conditions. Furthermore, the results of the numerical experiments show the effectiveness of the pro- posed algorithm.     

有界约束非线性系统的结合Lanczos分解技术不精确Newton法

提出了结合Lanczos分解技术不精确Newton法求解有界变量约束非线性系统．通过Lanczos分解技术解一个仿射二次模型获得迭代方向．利用内点回代线搜索技术,沿着这个方向得到一个可接受的步长．在合理的假设条件下,证明了算法的整体收敛性与局部超线性收敛速率．此外,数值结果表明了算法的有效性．     

一类四阶非自治微分方程解的有界和一致有界性

获得了一个四阶非线性微分方程的所有解是有界和一致有界的充分条件。     

Ce~(3+),Eu~(2+)共掺Ba_3Si_6O_(12)N_2荧光粉发光特性及能量传递研究（英文）

通过高温固相法制备了一系列Ce~(3+)/Eu~(2+)共掺杂的Ba_3Si_6O_(12)N_2,利用X射线衍射(XRD)研究了其晶体结构。研究表明,Ba_3Si_6O_(12)N_2∶Ce~(3+),Eu~(2+)荧光粉在338 nm光激发下可以发射525 nm的绿光,且具有较大的半峰宽。研究还发现,单掺Ce~(3+)的发射光谱和单掺Eu~(2+)的发射光谱存在交叠,同时Ce~(3+)的5d1最低能级能量低于Eu~(2+)的4f65d1最低能级,这二者共同证实了可能存在Ce~(3+)到Eu~(2+)的能量转移现象。同时还研究了Ce~(3+)浓度对Ba(2. 7-y)Si6O12N2∶0.3Eu~(2+),y Ce~(3+)(0≤y≤0. 1)系列荧光粉发光强度和波长的影响。热猝灭性能研究表明,Ce~(3+)引入可显著影响体系的热猝灭性能。     

THE PROPAGATION OF SOLITARY WAVES IN A NONLINEAR ELASTIC ROD

In this paper, the inverse scattering method is used to analyse strain solitary waves in a nonlinear elastic rod[1]. Properties of solitary waves and their influence on solid structures are discussed in detail. Some quantitative results are given.     

An electrochemical aptasensor based on cu2+-induced signal amplification strategy for the detection of ochratoxin aEI北大核心CSCD

A novel electrochemical aptasensor based on a Cu2+-induced signal amplification strategy was constructed for the rapid, sensitive and specific detection of ochratoxin A （OTA）. The OTA aptamer with poly （T） was hybridized with the captured DNA probe on the electrode surface. In the presence of Cu2+ and ascorbic acid, the end of poly（T） was used as a template to in situ grow copper nanoclusters （Cu NCs）. In the absence of targeted OTA, the gold electrodes after decorating Cu NCs were immersed into an acidic environment to release Cu2+. After enriching Cu2+ at a potential of − 1.6 V, the strongest current value of copper was recorded by measuring differential pulse voltammetry （DPV）. In the presence of OTA, the OTA aptamer was tightly bound to the target OTA. The OTA aptamer broke away from the electrode to reduce the growth of Cu NCs, resulting in lower DPV current response. This proposed method was employed to detect OTA with linear range from 0.1 to 50.0 ng/mL, and the detection limit was 41.2 pg/mL. The Cu2+-induced electrochemical aptasensor can be further applied in the analysis of target OTA in coffee solution samples. © 2023, Youke Publishing Co.,Ltd. All rights reserved.     

丁基橡胶疲劳性能的影响因素及研究进展

丁基橡胶(IIR)具有优良的气密性、耐热老化性、高阻尼性等理化性能,被广泛应用于轮胎、减震制品、防水建材等领域。2018年,我国丁基橡胶产能居世界之首,但国内市场仍然对外存度高,国内产品还存在牌号少、产品综合性能差等问题。本文依据橡胶疲劳的机理,对近期丁基橡胶疲劳性能方面的研究工作进行跟踪汇总,综述了各影响因素条件(生胶结构、硫化胶配方组成、外界环境等)对丁基橡胶耐疲劳老化和疲劳破坏性能的影响,为丁基橡胶产品的分子结构设计与应用配方设计提供借鉴与参考,助力丁基橡胶产业发展。     

直杆中应力波传播引起的分叉问题

讨论轴向矩形脉冲载荷作用下有限长理想弹性直杆中应力波的传播及其反射引起的分叉问题，讨论此类动力屈曲问题中横向惯性效应的影响；理论分析始终遵循着这样的思路：在分叉的那一瞬间，杆并没有横向惯性效应，目的是给出此类问题的一个合理提法，从理论分析和数值计算中得到了许多重要的结论，理论分析所遵循的思路和所采用的方法对各类结构由于应力波的传播及反射引起的分叉问题具有一定的意义．     

用于高强度材料的SHPB实验添加垫块法

提出了用于高强度材料的改进的SHPB实验方法添加垫块法,运用数值模拟方法,利用有限元程序LS-DYNA3D分析了添加垫块实验方法的合理性和可行性。根据一维应力波理论,给出了数据处理的修正方法。作为应用实例,采用改进的实验方法对高强度的Al2O3陶瓷材料的动态力学性能进行了研究,得到了比常规方法较高的应变率及应力应变范围的动态应力应变曲线,表明Al2O3陶瓷为应变率相关的非线性弹脆性材料。结果表明,添加垫块实验方法可有效地防止实验中压杆端面的变形,提高试件的应力应变及应变率水平。添加垫块实验方法为在SHPB装置上实现高强度材料的动态实验提供了一种方便实用的途径。