A DYNAMIC RESPONSE PREDICTION MODEL OF FIBER-METAL HYBRID LAMINATED PLATES EMBEDDED WITH VISCOELASTIC DAMPING CORE UNDER LOW-VELOCITY IMPACT EXCITATION 1)

本文首次从解析角度建立了低速冲击激励下嵌入黏弹性阻尼芯层的纤维金属混杂层合板动态响应预测模型. 首先,结合经典层合板理论和冯$\cdot$卡门假设,建立了嵌入黏弹性芯层的纤维金属混杂层合板弹性损伤本构关系. 然后,将层合板受冲击时的变形分成接触和拉伸两个区域,在接触区域内,对金属层采用 Von Mises 失效准则,纤维层采用 Tsai-Hill 失效准则和对黏弹性层采用指数 Drucker-Prager 失效准则判断层合板损伤情况. 考虑不同材料层对冲击动态响应的贡献来修正两个变形区域的位移公式,进而计算结构因弹性变形产生的应变能,以及接触区域因塑性变形消耗的能量,实现每次失效事件发生后各层材料的能量、位移和冲击接触力的理论求解,并给出了结构动态响应分析的具体流程图. 最后,以嵌入 Zn33 黏弹性芯层的 TA2 钛合金混杂 T300 碳纤维/树脂层合板为研究对象,开展落锤冲击实验. 验证结果表明,理论预测与测试获得的冲击接触力、位移响应以及冲击载荷-位移曲线吻合较好,且关注的峰值点计算误差最大不超过 9%,进而验证了所提出的理论模型的有效性.     

Quantile estimations via modified Cholesky decomposition for longitudinal single-index models

Quantile regression is a powerful complement to the usual mean regression and becomes increasingly popular due to its desirable properties. In longitudinal studies, it is necessary to consider the intra-subject correlation among repeated measures over time to improve the estimation efficiency. In this paper, we focus on longitudinal single-index models. Firstly, we apply the modified Cholesky decomposition to parameterize the intra-subject covariance matrix and develop a regression approach to estimate the parameters of the covariance matrix. Secondly, we propose efficient quantile estimating equations for the index coefficients and the link function based on the estimated covariance matrix. Since the proposed estimating equations include a discrete indicator function, we propose smoothed estimating equations for fast and accurate computation of the index coefficients, as well as their asymptotic covariances. Thirdly, we establish the asymptotic properties of the proposed estimators. Finally, simulation studies and a real data analysis have illustrated the efficiency of the proposed approach.

     

Exploring micropolar effects in thin film lubrication

The micropolar theory for fluids is adopted to probe the effect of the microstructure and microrotation on lubrication features in thin film lubrication. Micropolarity will give rise to an increase in the equivalent viscosity that subsequently leads to a better lubrication. The effective viscosity grown with micro polarity is very close to that of experiment in a preceding work.     

当能级间隔较小时三能级核四极共振自旋系统对脉冲的响应

用虚拟自旋-1/2算符理论考察了I=1的核四极共振自旋系统在其能级间隔较小时对1-2个脉冲的响应.由于核四极相互作用表象中的射频场与核自旋的相互作用(H_rf)包含时间,因而用Dyson时序算符来计算密度算符在H_rf作用下的演化.     

特形脉冲的欧拉角

本文提出了用量子力学的空间转动变换算符描述特形脉冲的方法。它把任意的特形脉冲用三个欧拉角来表示,并且使得在特形脉冲下的相干演化可以很容易地利用多极NMR理论,张量算符理论或者积算符理论来分析,作为例子,用数值方法计算了高斯脉冲的三个参数。     

Robust estimation for varying index coefficient models

Varying index coefficient models (VICMs) proposed by Ma and Song (J Am Stat Assoc, 2014. doi: 10.1080/01621459.2014.903185) are a new class of semiparametric models, which encompass most of the existing semiparametric models. So far, only the profile least squares method and local linear fitting were developed for the VICM, which are very sensitive to the outliers and will lose efficiency for the heavy tailed error distributions. In this paper, we propose an efficient and robust estimation procedure for the VICM based on modal regression which depends on a bandwidth. We establish the consistency and asymptotic normality of proposed estimators for index coefficients by utilizing profile spline modal regression method. The oracle property of estimators for the nonparametric functions is also established by utilizing a two-step spline backfitted local linear modal regression approach. In addition, we discuss the bandwidth selection for achieving better robustness and efficiency and propose a modified expectation–maximization-type algorithm for the proposed estimation procedure. Finally, simulation studies and a real data analysis are carried out to assess the finite sample performance of the proposed method.     

Tritoroidal particle rings formation in open microfluidics induced by standing surface acoustic waves

In this paper, the particle movements in a sessile droplet induced by standing surface acoustic waves (SSAWs) are studied. Tritoroidal particle rings are formed under the interaction of acoustic field and electric field. The experimental results demonstrate that the electric field plays an important role in patterning nanoparticles. The electric field can define the droplet shape due to electrowetting. When the droplet approximates a hemisphere, the acoustic radiation force induced by SSAWs drives the particles to form tritoroidal particle rings. When the droplet approximates a convex plate, the drag force induced by acoustic steaming drives the particle to move. The results will be useful for better understanding the nanoparticle movements in a sessile droplet, which is important to explain the mechanism that SSAWs enhance reaction and crystallization in droplet.     

ThMn12型金属间化合物YFe10-xSix有序化行为的热力学研究

采用四亚晶格热力学模型,辅助以第一性原理总能计算,研究了具有ThMn12原型结构的YFe10-xSix金属间化合物中元素的占位有序化行为.结果表明,YFe10.2Si1.8和YFe10Si2化合物中稀土元素Y占据2a亚晶格,Fe占据全部8i亚晶格和部分8j,8f亚晶格,Si占据部分8j,8f亚晶格,且Si更倾向于占据8f亚晶格.随温度的变化,YFe10-xSix化合物中各元素的占位有序化行为并不发生改变.本文预测结果与近期文献报道的实验结果相当吻合,间接证明了成分为YFe10Si2的化合物以ThMn12型结构的YFe10.2Si1.8相和α-(Fe,Si)固溶体相的共存形式更为合理.     

单个谐振子波函数中的有效β值

当一个简单谐振子波函数(SHO)作为有效波函数时,在SHO波函数里面一个重要的参数是有效$ \, \beta$值。得到了简单谐振子波函数有效$ \, \beta$值($ \, \beta_{\rm eff}$)在坐标空间和动量空间的解析表达式。将解析式运用到轻介子系统($u\bar{u}, \, u\bar{s}$)比较 $ \, \beta_{\rm eff}$的行为,结果表明在基态时坐标空间的$ \, \beta_ {{\rm eff}, \, \boldsymbol{r}}$和动量空间的$ \, \beta_ {{\rm eff}, \, \boldsymbol{p}}$在康奈尔势下的值不相同,而在高激发态时两者大小相近。     

来源于Alcaligenes A-6的D-氨基酰化酶基因的合成与融合表达

将来源于Alcaligenes A-6的D-氨基酰化酶基因用大肠杆菌中的丰沛密码子替换, 利用化学和基于聚合酶链反应(PCR)技术的酶促方法进行基因全合成, 利用pET-32a构建重组表达载体pET-dan, 转化进E.coil BL21(DE3)中进行融合表达. 经SDS-PAGE电泳、 Western-blot检测和活性测定发现, D-ANase可在大肠杆菌中高效表达, 目的蛋白可达到菌体总蛋白的69.2%, 密码子优化后基因构建的工程菌发酵活性为96 U/mL, 重组蛋白经超声细胞破碎及Ni²⁺柱亲和层析纯化, 比活可达1692.3 U/mg, 纯度可达95%以上.