EXTENSION OF POINCARE’S NONLINEAR OSCILLATION THEORY TO CONTINUUM MECHANICS(I)—BASIC THEORY AND METHOD

In this paper we extend Poincare’s nonlinear oscillation theory of discrete system tocontinuum mechanics.First we investigate the existence conditions of periodic solution forlinear continuum system in the states of resonance and non-resonance.By applying theresults of linear theory,we prove that the main conclusion of Poincare’s nonlinearoscillation theory can be extended to continuum mechanics.Besides,in this paper a newmethod is suggested to calculate the periodic solution in the states of both resonance andnonresonance by means of the direct perturbation of partial differential equation andweighted integration.     

ASYMPTOTIC DYNAMIC SOLUTION TO THE MODE PROPAGATING CRACK-TIP FIELD IN ELASTIC- VISCOPLASTIC MATERIAL

A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode Ⅰ cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that the crack-tip field is of logarithmic singularity for smaller viscosity, however no solution exists for large viscosity. By a careful analysis and comparison, it is found that the present results retain all merits of those given by Gao Yu-chen, while removing existing problems.     

工具痕迹鉴定中的光学技术研究

工具痕迹由于形成的原因不同，其表面形成的原因不同，其表面形貌呈现多样性，从尺度范围上，大致可分为两类；一类痕迹尺度范围较大，一般在毫米级以上，可称为宏观痕迹；第二类痕迹尺度范围较小，一般在微米级，可称为微观痕迹，利用光学投影，缩束显微，二维调制图像模数转换及低通滤波去噪算法，小波变换，智能模板相位复原等处理技术。可精确，快速地得到工具痕迹鉴定所需的形貌信息，这成为用于识别，诊断领域中的光学图像处理新技术。本文介绍上述技术特点。并且提供了典型的应用实例。     

对苯二酚在掺Cu(Ⅱ)类普鲁士蓝膜修饰电极上的电化学行为研究

采用循环伏安法在普鲁士蓝膜中掺杂Cu2+,制得掺Cu(Ⅱ)类普鲁士蓝膜(Cu-PB膜)。利用循环伏安法、库仑分析法和电化学阻抗法对Cu-PB膜进行电化学表征,结果显示Cu2+进入普鲁士蓝的内部结构,取代了其中的高自旋铁。该Cu(Ⅱ)类普鲁士蓝膜对对苯二酚具有明显的电催化作用,电极反应过程是扩散控制的准可逆过程,在5.0×10-5~1.0×10-3mol.L-1范围内,还原峰电流与对苯二酚浓度呈良好的线性关系,检出限为1.0×10-6mol.L-1。计算了对苯二酚在Cu-PB膜修饰电极上电极过程的动力学参数。     

高效液相色谱-串联质谱测定猪肉中3种β-受体激动剂残留量

建立一种同时测定猪肉中3种β-受体激动剂残留量的高效液相色谱-电喷雾串联质谱(HPLC-ESI-MS/MS)确证分析方法。样品经β-葡萄糖醛酸酶/芳基硫酸酯酶酶解、乙酸铵缓冲液提取和MCX固相萃取柱净化,采用Agilent ZorbaxSB-C18(2.1mm×150mm,3.5μm)色谱柱,0.1%的甲酸水溶液、甲醇和乙腈作为流动相进行洗脱,高效液相色谱分离,电喷雾离子源电离,正离子多反应监测模式进行检测,内标法定量。3种药物在0.05～1μg/kg浓度范围内线性良好,相关系数r均大于0.999,0.05、0.1、0.5μg/kg3个浓度水平的添加回收率在89.7%～106.7%之间,相对标准偏差为2.4%～8.6%,3种药物的定量限均为0.05μg/kg。方法适用于猪肉中β-受体激动剂残留的确证分析。     

叶酸靶向复合脂质体中阿霉素和维拉帕米含量的测定

建立叶酸靶向复合脂质体中阿霉素和维拉帕米含量测定的反相高效液相色谱法。阿霉素在0.5—60μg/mL范围内呈良好线性关系,平均回收率97.3%;维拉帕米在1.0—50.0μg/mL范围内呈良好线性关系,平均回收率97.2%。本方法灵敏度高,专属性强,重现性好,操作简便,能准确测定叶酸靶向复合脂质体中阿霉素和维拉帕米的含量。     

Study of diode-pumped Yb:YAG disk lasers at low temperature

A Yb:YAG disk laser with V-shaped stable resonator and active-mirror configuration,end-pumped by a 940-nm InGaAs laser diode array,is demonstrated.Performances and optimization of the disk laser at low temperature over a range of 130-200 K are investigated theoretically and experimentally.Laser output energy of 1.46 J/pulse operating at 10-Hz repetition rate is obtained with the optimum output coupler transmission of 30%,and the corresponding optical-to-optical efficiency is 48.7%.     

半线性椭圆问题Petrov-Galerkin逼近及亏量迭代

本文考虑了二阶半线性椭圆问题的Petrov-Galerkin逼近格式,用双二次多项式空间作为形函数空间,用双线性多项式空间作为试探函数空间,证明了此逼近格式与标准的二次有限元逼近格式有同样的收敛阶.并且根据插值算子的逼近性质,进一步证明了半线性有限元解的亏量迭代序列收敛到Petrov-Galerkin解.