VIBRATION ANALYSIS OF A BEAM WITH EMBEDDED SHAPE MEMORY ALLOY WIRES

In this study, analytical relations for evaluating the exact solution of natural fre- quency and mode shape of beams with embedded shape memory alloy （SMA） wires are presented. Beams are modeled according to Euler-Bernoulli, Timoshenko and third order beam （Reddy） the- ories. A relation is obtained for determining the effect of axial load generated by the recovery action of pre-strained SMA wires. By defining some dimensionless quantities~ the effect of different me- chanical properties on the frequencies and mode shapes of the system are carefully examined. The effect of axial load generated by SMA wires with buckling load and frequency jump is accurately studied.     

自然对流换热的高精度非结构网格有限体积法

用非结构网格有限体积法求解自然对流换热时,传统的对流项离散格式难以兼顾数值精度与计算效率,我们发展了一种耦合高精度格式的延迟修正方法,用于对流项的离散.高Re数下方腔驱动流数值计算验证了该方法具有较高的计算精度和较好的稳定性.Boussinesq流体的自然对流换热数值模拟,表明该方法能有效克服高Ra数时数值计算发散,可准确捕捉自然对流换热问题中不同偏心率下的等温线和流线分布特征.     

应变梯度理论自然邻近混合伽辽金法

应变梯度理论考虑了位移二阶梯度对应变能密度函数的贡献,在本构关系中引入了与材料微结构特征尺寸相关的参数,可以唯象地解释尺度效应现象。基于约束变分原理,把位移与位移一阶梯度作为独立场变量,使用拉格朗日乘子法引入二者的协调关系,放松对试探函数连续性与完备性的要求,建立了二维及三维问题的应变梯度理论自然邻近混合伽辽金法。通过算例对方法的计算性能进行了考查,结果表明,该方法具有良好的数值精度,能够模拟材料力学性能的尺度效应。     

Theoretical Studies on the Dihydrogen Bonding Between Shortchain Hydrocarbon and Magnesium Hydride

The C--H…H dihydrogen-bonded complexes of methane, ethylene, acetylene, and their derivatives with magnesium hydride were systematically investigated at MP2/aug-cc-PVTZ level. The results confirm that the strength of dihydrogen bonding increases in the following order of proton donors： C（sp3）-H〈C（sp2）-H〈C（sp）-H and chlorine substituents enhance the C-H…H interaction. In the majority of the complexes with a cyclic structure, the Mg-H proton-accepting bond is more sensitive to the surroundings than C-H proton-donating bond. The nature of the electrostatic interaction in these C-H…H dihydrogen bonds was also unveiled by means of the atoms in mo- lecules（AIM） analysis. The natural bond orbital（NBO） analysis suggests that the charge transfer in the cyclic com- plexes is characteristic of dual-channel. The direction of the net charge transfer in the cyclic complexes is contrary to that previously found in dihydrogen bonded systems.     

Conduction-radiation effect on transient natural convection with thermophoresis

This paper discusses the effect of thermophoretic particle deposition on the transient natural convection laminar flow along a vertical flat surface,which is immersed in an optically dense gray fluid in the presence of thermal radiation.In the analysis,the radiative heat flux term is expressed by adopting the Rosseland diffusion approximation.The governing equations are reduced to a set of parabolic partial differential equations.Then,these equations are solved numerically with a finite-difference scheme in the entire time regime.The asymptotic solutions are also obtained for sufficiently small and large time.The obtained asymptotic solutions are then compared with the numerical solutions,and they are found in excellent agreement.Moreover,the effects of different physical parameters,i.e.,the thermal radiation parameter,the surface temperature parameter,and the thermophoretic parameter,on the transient surface shear stress,the rate of surface heat transfer,and the rate of species concentration,as well as the transient velocity,temperature,and concentration profiles are shown graphically for a fluid(i.e.,air) with the Prandtl number of 0.7 at 20 C and 1.013 × 10 5 Pa.     

聚丙烯酸对自然水体生物膜吸附镉的影响

选择聚丙烯酸(PAA)为水中溶解态高分子天然有机质的代表, 研究了PAA对自然水体生物膜吸附重金属Cd的影响, 包括不同浓度的PAA对吸附的影响, PAA对特定pH下吸附等温线的影响以及不同pH下按不同顺序添加PAA时对吸附的影响. 研究结果表明, PAA的存在一般会降低生物膜对Cd的吸附, 其影响程度与PAA的浓度、 溶液pH、 吸附顺序及生物膜厚度等有关. PAA与Cd的浓度比越高, 其对吸附的影响越显著. 吸附溶液pH越高, PAA的影响越显著. 吸附顺序对吸附的影响在pH较低时不明显, 当pH较高时, 先加PAA后加Cd及两者同时吸附时对吸附的降低作用接近且较大, 先加Cd后加PAA时对吸附的降低作用相对较小. 生物膜较薄时PAA的影响更显著. PAA对生物膜吸附Cd的影响主要由PAA与生物膜之间对Cd的竞争以及三元表面配合物的生成与吸附2种因素共同决定. 高pH会促进PAA与Cd的配合而不利于带负电的配合物在生物膜上的吸附.     

Natural frequencies of rotating functionally graded cylindrical shells

Love’s first approximation theory is used to analyze the natural frequencies of rotating functionally graded cylindrical shells.To verify the validity of the present method,the natural frequencies of the simply supported non-rotating isotropic cylindrical shell and the functionally graded cylindrical shell are compared with available published results.Good agreement is obtained.The effects of the power law index,the wave numbers along the x-and θ-directions,and the thickness-to-radius ratio on the natural frequencies of the simply supported rotating functionally graded cylindrical shell are investigated by several numerical examples.It is found that the fundamental frequencies of the backward waves increase with the increasing rotating speed,the fundamental frequencies of the forward waves decrease with the increasing rotating speed,and the forward and backward waves frequencies increase with the increasing thickness-to-radius ratio.     

流过半无限竖直可渗透壁面时的磁流体动力学自由对流

研究不可压缩粘性导电流体,流过半无限竖直可渗透平板时,将其偏微分形式的流动和传热的基本控制方程,应用适当的相似变换,简化为非线性的常微分方程组．对两种抽吸参数:大的和小的抽吸参数,采用摄动法得到变换后方程的近似解．数值结果表明,随着磁场参数和抽吸参数的增大,任意点的速度场在减小;磁场参数的影响,引起热边界层厚度的增大;速度和温度场随着热汇参数的增大而减小．     

1-取代-2-氨基苯并咪唑衍生物的理论计算及QSAR研究

在B3LYP/6-31＋g(d)计算水平下, 通过运用密度泛函理论(DFT)量子化学方法, 对7种1-取代-2-氨基苯并咪唑衍生物的电子结构特征进行了研究, 获得了它们的电离能、亲合能、化学硬度、化学软度、化学势、电负性、亲电性、分配系数、折射率、极化率、分子体积和分子表面积等参数. 结果表明, 在2-氨基苯并咪唑衍生物的1位引入取代基团, 对化合物的电荷布居和结构性质都有较大的影响|关联了定量结构-活性关系(QSAR), 7种化合物的半数致死量LD₅₀与极化率等有较好的相关性. 这些结果可为1-取代-2-氨基苯并咪唑衍生物的氧化代谢实验研究和毒性机理揭示等提供重要信息.     

钴铁氧体亚微米球吸波性能与成分的关系研究

用溶剂热方法制备CoxFe3-xO4 (0≤x≤1)亚微米球, 可看作不同比例Fe3O4和CoFe2O4的混合物.实验发现:当原料中钴铁原子比为1∶1、1∶2、1∶4和0时,反应得到的球分别为CoFe2O4、Co0.9Fe2.1O4、Co0.73Fe2.27O4和Fe3O4.Fe3O4与石蜡混合物(质量分数75wt;)厚度为5.5 mm时,反射率最低为-38 dB,对应频率为4 GHz;Co0.9Fe2.1O4与石蜡混合物在3~14 GHz频率范围内介电损耗大于磁损耗,计算出来的反射率分贝值(-41.1 dB,12.08 GHz,2 mm)低于相关报道.比较四种成分的钴铁氧体球可以看出:当x值不同时,由于成分Fe3O4和CoFe2O4的自然共振频率不同,引起磁性能随微波频率发生变化,而且由于二价铁离子被钴离子取代,结晶性也发生改变,进而改变了材料的介电和吸波性能.