Several iterative algorithms for solving the split common fixed point problem of directed operators with applications

In this paper, we propose a new simultaneous iterative algorithm for solving the split common fixed point problem of directed operators. Inspired by the idea of cyclic iterative algorithm, we also introduce two iterative algorithms which combine the process of cyclic and simultaneous together. Under mild assumptions, we prove convergence of the proposed iterative sequences. As applications, we obtain several iteration schemes to solve the inverse problem of multiple-sets split feasibility problem. Numerical experiments are presented to confirm the efficiency of the proposed iterative algorithms.     

Some notes on split Newton iterative algorithm

In this study, a parameterized split Newton method is derived by using the accelerating technique. Convergence and error estimates of the method are obtained. In practical application, the proposed method can give a better result in view of computational CPU time. Numerical examples on several partial differential equations are shown to illustrate our findings. Copyright © 2015 John Wiley & Sons, Ltd.     

Some subgradient extragradient type algorithms for solving split feasibility and fixed point problems

In this paper, we consider the split feasibility problem (SFP) in infinite‐dimensional Hilbert spaces and propose some subgradient extragradient‐type algorithms for finding a common element of the fixed‐point set of a strict pseudocontraction mapping and the solution set of a split feasibility problem by adopting Armijo‐like stepsize rule. We derive convergence results under mild assumptions. Our results improve some known results from the literature. Copyright © 2016 John Wiley & Sons, Ltd.     

偏振分光光学天线前向散射杂光仿真测试与抑制

利用口径150mm、视场±0.17°、接收波长974nm的光学天线望远系统原理样机,搭建了试验装置并进行了实测,测量结果显示光学天线在0.35°附近及1°附近出现了两个原路回波杂光峰值.通过对两个杂光峰值的仿真分析,提出了在主镜内部增加二次斜光阑及临时挡光环的措施,消除望远系统前向散射杂光.通过分析主次镜焦距分配对光学天线望远系统杂光的影响,指出在设计中缩小主镜焦距可降低系统原路回波杂光,这对光学天线消回波杂光设计具有指导意义.     

在线LC-GC联用接口技术

综述了在线ＬＣ－ＧＣ技术的接口形式和工作原理。     

Nd∶YTaO4的制备、结构与发光性能

为探索新型激光材料,采用高温固相反应法合成了(1at;) Nd∶ YTaO4多晶粉末,研究了其结构与发光性质.利用Rietveld方法对样品的X射线衍射谱进行精修得到晶胞参数、原子坐标等.测试了样品8K温度下的激发光谱以及8K和室温下808 nm激发的荧光光谱,对发光谱峰进行了指认,获得了Nd3+在YTaO4中的晶场能级分裂.结果表明,Nd3++的4 F3/2→4I11/2跃迁的发射截面为28.4×10-20 cm2,荧光寿命为155μs.较小的发射截面和较长的能级寿命表明Nd∶YTaO4是一种很有希望的激光二极管抽运的调Q激光材料.     

利用液体炸药爆轰制备石墨烯薄片

强氧化性酸的环境下,石墨易形成石墨层间化合物(GICs),利用石墨这一特性,将天然石墨置于发烟硝酸中,并加入硝基甲烷,配制成液体炸药,使用塑料容器盛装后放入爆轰反应釜中引爆。收集爆轰产物,并利用XRD、EDX、SEM、TEM、Raman光谱、比表面积与孔隙度分析仪进行分析,结果显示:制备出的石墨烯具有良好的晶体特性并呈现极薄的片状结构,其比表面积达到天然石墨的9.16倍,平均厚度约为14.73 nm。     

双基推进剂的高应变率力学特性及其含损伤ZWT本构

为了解双基推进剂在冲击载荷下的力学特性及本构行为,利用材料试验机和分离式霍普金森压杆（SHPB）对双基推进剂进行了单轴压缩实验,并对实验数据的有效性进行了检验。用二波法对实验数据进行处理,得到了双基推进剂的应力应变曲线。实验结果表明:双基推进剂具有明显的应变率相关性,动态下屈服应力与静态下相比明显提高,且屈服应力表现为应变率对数的双线性关系;双基推进剂屈服应变表现为延脆转换特性,在低应变率下表现为延展性,高应变率下表现为冲击脆化特性。利用含损伤朱王唐（ZWT）本构模型对实验结果进行了拟合,得到了模型中的本构参数,并对损伤因子项进行了分析。通过模型预测曲线与实验曲线的对比,发现含损伤ZWT本构能较好地描述双基推进剂在0～0.14应变范围内的力学特性。     

Acoustic absorbers at low frequency based on split-tube metamaterials

The remarkable properties of acoustic metamaterials have attracted massive researches and applications, especially on low-frequency sound absorptions. Currently, most of the acoustic metamaterial absorbers employ resonances in plastic cavities, and their structural strengths are important in many circumstances, especially in harsh environment. However, studies of metamaterials including this point are very scarce. Here, we propose an acoustic metamaterial for low-frequency (<500 Hz) absorptions, composed of three nested square split tubes with inverted opening directions. The efficiency of the absorber is investigated both numerically and experimentally, and absorptions at the peeks are found to exceed 90% and the frequency can be effectively adjusted by tuning its geometric parameters. We further test its yield strength under compression and confirm its buckling behavior happens from the outmost layer. This tunable acoustic metamaterial with a fairly good mechanical strength may lead to broad applications in noise reduction.     

双侧下颌支矢状劈开截骨术后患者可施加合适咬合力的数值研究

双侧下颌支矢状劈开截骨术在临床手术中广泛用于治疗缩颌、凸颌和颌面不对称患者的颌面畸形症状。本文用数值方法研究双侧下颌支矢状劈开截骨术并前移下颌骨后患者可施加的合适咬合力。首先,用缩颌患者的CT断层扫面数据建立下颌骨、关节盘、关节窝和相关软组织的高度几何相似性的几何模型;然后,用有限元模型模拟双侧下颌支矢状劈开截骨术后患者的咬合过程。通过分析发现,术后关节盘上的位移处于正常的范围,而应力却远远超过正常范围,因此,将应力因素作为确定术后患者可施加的合适咬合力的标准。当施加正常咬合力的25%时,关节盘上的应力分布和术前没有显著性差异,同时下颌骨上的应力水平也处于正常范围。