脉冲离散非线性Schr?dinger-Boussinesq方程组的统计解与分段Liouville型定理

本文研究脉冲离散非线性Schr?dinger-Boussinesq方程组的初值问题及其统计解的存在性.作者首先证明该脉冲问题的的整体适定性,然后证明解算子生成的过程存在拉回吸引子和一族不变Borel概率测度,接着给出该脉冲问题统计解的定义并证明其存在性.结果表明,该脉冲问题的统计解只关于时间分段地满足Liouville型定理.     

涂层界面结合强度检测研究(Ⅰ):涂层结合界面应力的理论分析

利用激光划痕测试法和弯曲应力理论，建立了涂层结合界面应力的理论模型，推导出结合界面剪应力、正应力和剥离应力分布公式，分析了结合界面应力产生的机理.理论分析结果表明，界面正应力主要集中在界面中心区域内，而在界面边缘附近，正应力迅速下降，在界面边缘处其值降为0；剪应力和剥离应力主要集中在界面边缘区域内，在远离界面边缘区域，剪应力和剥离应力则迅速下降；涂层中正应力和涂层厚度、基体厚度以及杨氏模量无关，界面间剪应力以及剥离应力随涂层厚度增加而增加，并且由涂层与基体厚度以及杨氏模量所共同决定.     

Effects of processing parameters on fatigue properties of LY2 Al alloy subjected to laser shock processing

We address the effects of processing parameters on residual stresses and fatigue properties of LY2 Al alloy by laser shock processing (LSP). Results show that compressive residual stresses are generated near the surface of samples due to LSP. The maximum compressive residual stress at the surface by two LSP impacts on one side is higher than that by one LSP impact. The maximum value of tensile residual stress is found at the mid-plane of samples subjected to two-sided LSP. Compared with fatigue lives of samples treated by single-sided LSP, lives of those treated by two-sided LSP are lower. However, these are higher than untreated ones.     

流动注射一超声雾化器一电感耦合等离子体-原子发射光谱(FI-UN-ICP-AES)同时测定头发中多种元素条件的优化

建立了FI－UN－ICP－AES联用技术，用所发展技术进行了头发中多种微量元素的同时测定，对载流流速、积分时间、进样体积等进行了优化。多次注射测定的再现性（RSD）在0.6％一5．0％范围内，标准加入回收率为90％一101％。     

多脉冲高能量强激光诱导产生Al等离子体发射光谱分析

 用Nd:YAG脉冲激光器产生的1.064 μm激光,在空气环境下作用于金属Al诱导产生等离子体,获得了不同能量以及多次脉冲烧蚀下的Al等离子体发射光谱,分析了谱线强度与能量变化之间的关系,实验结果表明：随激光能量的增加,谱线的信号强度明显增强;对等离子体光谱进行Lorentz线型拟合,获取了谱线的半高宽,以此来计算电子密度,得到了电子密度及信号强度随多脉冲强激光诱导次数的增加而逐渐下降的演化规律。     

放大自发辐射对激光冲击处理7050铝合金的影响

 利用高功率钕玻璃激光器对7050铝合金表面进行了冲击处理,保持泵浦功率不变,用压电传感器和示波器测试了激光冲击产生的压力波形,用X射线应力测量仪测量了激光冲击后铝合金表面的残余应力,并用非接触式光学轮廓仪分析了激光冲击后铝合金的表面形貌,研究了放大自发辐射强度对激光冲击处理7050铝合金冲击压力、残余应力和粗糙度影响的微观机理。研究结果表明:在泵浦功率不变前提下,放大自发辐射强度的增大降低了激光冲击波压力,铝合金表面残余压应力也随之降低,同时铝合金表面粗糙度增大。     

幂函数形式连续变截面梁振动的弯曲固有频率分析*

本文使用微分方程解析法求解变截面梁固有频率。首先,建立变截面梁模型,其中截面面积和惯性矩均按幂次函数变化。得到变截面梁自由振动时挠度的解析表达式,并获得不同边界条件下梁弯曲振动的固有频率方程。其中惯性矩所对应幂指数与截面面积的幂指数的差值为4时,可得自振频率方程的精确形式;而幂指数差值不等于4时,给出近似解法。其次,对4种具体的变截面梁求解不同边界下的自振频率,并与瑞利-里兹法所得的自振频率解比较。验证精确解法结果的正确性,并发现近似解法结果的相对偏差在5%以内。该解析方法较瑞利-里兹法具有能快速求解的特点,且易于分析截面参数对梁固有频率的影响。由算例可得,边界和其他参数不变时,梁的同阶次无量纲自振频率随着幂次指数的增加而增加。几何参数中仅截面形状参数改变时,随着形状参数的增加,梁的同阶次无量纲自振频率随之减小,但固定-自由梁的第一阶自振频率除外。     

一类单中心二次可积系统的Abel积分零点个数

讨论了首次积分为H(x,y)=x~k(1/2y~2+Ax~2+Bx+C)的Abel积分的代数构造,并研究了k=2时具有一个中心的平面二次可积系统在n次扰动下的Abel积分零点个数上界问题,得到了较小的上界估计,     

超声提取-高效液相色谱法测定粗榧中高三尖杉酯碱

用乙醇(每克样品加15 mL)超声提取40 min使粗榧中高三尖杉酯碱溶出.每一样品先后提取3次,所得提取液经合并,减压蒸发并定容为10.0 mL供高效液相色谱分析用.在色谱测定中,采用Diamonsil C18色谱柱作为固定相,采用0.08 mol·L-1乙酸铵溶液和甲醇以55比45的体积比混合的溶液作为流动相.紫外检测的波长为291 nm,对方法的精密度和回收率分别作了试验,测得其相对标准偏差(n=5)为8.08%.     

Microstructure and properties of plastic deformed martensite induced by laser shock processing

Firstly, 45# steel was quenched by the NEL-2500A rapidly axial flow CO2 laser. The experimental parameters were the laser power of 750 W, the laser beam diameter of 4 mm, the scanning velocity of 7 mm/s.The thickness of coating layer was 0.1 mm and the width was 8 mm. Secondly, the martensite induced by laser quench was shocked by Nd:YAG laser. The parameters of laser shock processing were the wavelength of 1.06 μm, the pulse duration of 23 ns, and the output energy of 16-20 J. The laser was focused on a spot of φ7 mm. K9 optical glass was used as confinement. The sample was coated with black paint 86-1 (the thickness is about 0.025 mm). By testing and analysis of samples which were treated by laser quench and laser quench+shock with transmission electron microscope (TEM), it was discovered that the surface layer of martensite was deformed plastically by laser shock processing. In the secondary hardened zones,there were a lot of slender secondary twin crystal martensites, dislocation tangles, and cellular dislocations.Compared with that of the hardened zones through laser quench only, the residual stress and mechanical properties of the secondary hardened zones were improved and increased through laser compound method.