Dynamic analysis on generalized linear elastic body subjected to large scale rigid rotations

The dynamic analysis of a generalized linear elastic body undergoing large rigid rotations is investigated. The generalized linear elastic body is described in kine- matics through translational and rotational deformations, and a modified constitutive relation for the rotational deformation is proposed between the couple stress and the curvature tensor. Thus, the balance equations of momentum and moment are used for the motion equations of the body. The floating frame of reference formulation is applied to the elastic body that conducts rotations about a fixed axis. The motion-deformation coupled model is developed in which three types of inertia forces along with their incre- ments are elucidated. The finite element governing equations for the dynamic analysis of the elastic body under large rotations are subsequently formulated with the aid of the constrained variational principle. A penalty parameter is introduced, and the rotational angles at element nodes are treated as independent variables to meet the requirement of C1 continuity. The elastic body is discretized through the isoparametric element with 8 nodes and 48 degrees-of-freedom. As an example with an application of the motion- deformation coupled model, the dynamic analysis on a rotating cantilever with two spatial layouts relative to the rotational axis is numerically implemented. Dynamic frequencies of the rotating cantilever are presented at prescribed constant spin velocities. The maximal rigid rotational velocity is extended for ensuring the applicability of the linear model. A complete set of dynamical response of the rotating cantilever in the case of spin-up maneuver is examined, it is shown that, under the ultimate rigid rotational velocities less than the maximal rigid rotational velocity, the stress strength may exceed the material strength tolerance even though the displacement and rotational angle responses are both convergent. The influence of the cantilever layouts on their responses and the multiple displacement trajectories observed in the floating frame is simultaneously investigated. The motion-deformation coupled model is surely expected to be applicable for a broad range of practical applications.     

点堆中子动力学方程组曲率权重法的解

针对核反应堆安全工程对某些数值计算结果要求较高的精度和正的误差, 以及舰船核反应堆机动性对计算速度的要求, 需要从数学上寻找一种新的数值计算方法, 以满足实际曲线向上凸或向下凹时计算值总是略高于真实值, 且误差不大于欧拉法和改进的欧拉法所得值. 本文研究曲率权重法求解点堆中子动力学方程组, 该方法是在曲率圆法的基础上引入权重的思想来衡量间隔步长上两个曲率对该步长曲率平均值的贡献. 与欧拉法和改进的欧拉法比较, 曲率权重法的计算结果总是能够高于真实值或有正的误差, 且精度和计算速度得到明显提升. 将该方法用于次临界堆阶跃和线性引入反应性时中子密度的求解, 能够快速得到满足计算要求和高精度的数值结果.     

Study of Trioxane Production Process with Super‐ or Subcritical Fluid as Solvent and Extractant

A super‐ or subcritical fluid was used as a reaction solvent for nonaqueous trioxane synthesis instead of common organic solvents. The generation of trioxane from paraformaldehyde was observed in the presence of the catalyst when carbon dioxide reached a supercritical region, suggesting that the supercritical carbon dioxide acted as the reaction solvent. In the case of Freon 12, the trioxane was effectively produced even in a subcritical state.     

Subcritical Water Enhanced with Deep Eutectic Solvent for Extracting Polysaccharides from Lentinus edodes and Their Antioxidant Activities

In the present study, subcritical water extraction (SWE) assisted with deep eutectic solvent (DES) is used to extract Lentinus edodes polysaccharides (LEP). In addition, the antioxidant activity of the polysaccharide samples was also investigated. Based on a single factor test and response surface test, the optimal extraction factors were a liquid–solid solvent of 40:1 mL/g, extraction temperature of 147.23 °C, water content of 39.76% and extraction time of 17.58 min. Under these extraction conditions, the yield of LEP was 6.26 ± 0.08%. Compared with the SWE and hot water extraction (HWE), it improved by 19.24% and 17.01%, respectively. In addition, the results of monosaccharide composition, molecular weight, FT-IR, UV and SEM confirmed that the extracts had the features of polysaccharides. Interestingly, the polysaccharides obtained with the SWE assisted with the DES procedure showed a higher DPPH scavenging activity, hydroxyl radical scavenging activity and hydrogen peroxide scavenging activity, which indicated that the polysaccharides with this method had a stronger antioxidant activity. These findings demonstrated that the SWE-assisted DES is a strong method to obtain polysaccharides from Lentinus edodes for food, biopharmaceutical and other industrial production.     

Existence and Multiplicity of Solutions for a Class of Quasilinear Elliptic Equations with Exponential Growth北大核心CSCD

本文研究一类具有次临界多项式增长或次临界指数型(临界指数型)增长的(p,2)-拉普拉斯方程一个正解及无穷多非平凡解的存在性,运用山路定理及喷泉定理,得到了拉普拉斯方程非平凡解的一些存在性结果.