On the coupled NBEM and FEM for a class of nonlinear exterior Dirichlet problem in R 2

In this paper, based on the natural boundary reduction advanced by Feng and Yu, we couple the finite element approach with the natural boundary element method to study the weak solvability and Galerkin approximation of a class of nonlinear exterior boundary value problems. The analysis is mainly based on the variational formulation with constraints. We prove the error estimate of the finite element solution and obtain the asymptotic rate of convergence. Finally, we also give a numerical example.

     

胆红素在纳米TiO2膜上的吸附行为研究

采用石英晶体微天平现场技术,研究了胆红素在纳米TiO2表面的吸附动力学行为,并考察了溶液pH、硅烷亲脂性试剂及金属离子修饰的纳米TiO2对胆红素吸附的影响。结果表明,胆红素在纳米TiO2表面的吸附平衡常数K为2·0×106L/mol;由于亲水性纳米TiO2表面的羟基和胆红素分子中的羧基发生作用,胆红素吸附量随溶液pH增大而增大;但经过硅烷试剂亲脂性修饰后,吸附量随pH增大而下降;经过金属离子修饰后,改变了TiO2表面电荷导致吸附量增加,且吸附量随金属离子电荷增加而增加,当金属离子所带电荷相同时,吸附量基本相同。     

爆炸载荷作用下钢-混凝土-钢组合板的动态响应数值模拟

钢-混凝土组合结构的抗爆性能已成为防护工程和反恐防爆等领域的研究热点。以钢-混凝土-钢组合板为例,利用有限元软件ABAQUS对爆炸载荷作用(爆距为2.5~7.5 m,TNT炸药量为50~100 kg)下该结构的破坏形态和动力学性能进行了数值模拟。研究结果表明,组合板的破坏形态与炸药量和爆距有关。炸药量越大,爆距越小,组合板的破坏程度越明显。当TNT炸药量为100 kg、爆距为2.5 m时,组合板发生明显的翘曲,出现了塑性铰。钢板的存在有效地抑制了核心混凝土的剥落。在爆距相同的条件下,炸药量越大,组合板的变形越明显,跨中挠度和峰值速度也越大。当炸药量相同(100 kg)时,与爆距为7.5 m相比,爆距为5.0 m时组合板的跨中挠度为其1.53倍,爆距为2.5 m时组合板的跨中挠度为其5.01倍。     

On the coupled NBEM and FEM for a class of nonlinear exterior Dirichlet problem in <Emphasis Type="Italic">R</Emphasis><Superscript>2</Superscript>

In this paper, based on the natural boundary reduction advanced by Feng and Yu, we couple the finite element approach with the natural boundary element method to study the weak solvability and Galerkin approximation of a class of nonlinear exterior boundary value problems. The analysis is mainly based on the variational formulation with constraints. We prove the error estimate of the finite element solution and obtain the asymptotic rate of convergence. Finally, we also give a numerical example.     

Cu(2+)-selective fluorescent chemosensor based on coumarin and its application in bioimaging

A new fluorescent sensor L1 based on coumarin was synthesized. It shows high sensitivity and selectivity toward Cu(2+) in aqueous solution. The complexation mode and corresponding quenching mechanism were elucidated by ESI-MS and DFT calculations. In addition, biological imaging studies have demonstrated that L1 can detect Cu(2+) in living cells.     

焙烧层状氢氧化镁铝对水中氟离子的吸附性能

研究了焙烧层状氢氧化镁铝(CLDH)对水中氟离子的吸附性能,考察了焙烧温度、吸附时间、吸附剂用量、溶液pH值等条件对吸附的影响.发现在较宽的pH(5.5～9.5)值范围内,CLDH对水中氟离子具有良好的吸附能力,室温下0.2gCLDH可将50mL浓度为15mg/L氟离子溶液处理为符合含氟标准的饮用水.吸附平衡符合Langmuir方程,在60min内达到饱和吸附,室温下饱和吸附量为22.64 mg/g.吸附饱和后的CLDH焙烧再生,循环使用5次后饱和吸附量为10.37 mg/g.     

On the coupled NBEM and FEM for a class of nonlinear exterior Dirichlet problem in R~(2*)

In this paper, based on the natural boundary reduction advanced by Feng and Yu, we couple the finite element approach with the natural boundary element method to study the weak solvability and Galerkin approximation of a class of nonlinear exterior boundary value problems. The analysis is mainly based on the variational formulation with constraints. We prove the error estimate of the finite element solution and obtain     

斯特林制冷机振动数学模型的Laplace变换及仿真

通过对斯特林制冷机振动系统的研究,建立了系统的振动方程并进行了相应的Laplace变换,结合斯特林制冷机实际的工作状况,给出了振动系统在不同阻尼比条件下的仿真结果,该结论对今后斯特林制冷机的设计有一定的指导意义。     

解一类半线性外边值问题的自然边界元与有限元耦合法

In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O（h^n) Finally, we also give two numerical examples.     

ZnSⅩⅣMn水溶胶的合成

在不同条件下合成了ZnSⅩⅣMn水溶胶,ZnSⅩⅣMn微粒的尺寸与溶液pH、S^2-浓度等有关.pH>7时所得样品因氧化致使其颜色随pH的增加而由白色向棕色变化.Mn²⁺离子的特征发射强度亦受合成条件影响.掺杂浓度为4%时,可获得最大的发射强度.样品在酸性及碱性范围内均有最强发射峰,碱性条件下的最大发射强度约为酸性下的两倍.此外,过量的S^2-可引起Mn²⁺发射的猝灭.