Impact Responses of Prismatic Lithium-Ion Battery Based on the Membrane Factor Method北大核心CSCD

Aimed at the internal short circuit problem due to large deformation of the prismatic lithium-ion battery cell under impact loadings, a simplified battery model was first established. Then the motion equations of velocity and displacement based on the membrane factor method were proposed. With the effects of the face-sheet thickness and the densification region on the normalized final deflection, impact response characteristics of prismatic battery cells were investigated in detail. The results show that, the improved motion equations involving the membrane factor can reflect the dynamic response mechanisms of the prismatic battery cell under impact loadings, and the large deflection under high-speed impact can be predicted. With the increase of the face-sheet thickness, the deflection of the battery cell’s lower part decreases obviously. However, the densification region expands with the face-sheet thickness. The deflection and the densification region of the cell’s lower part both increase with the inner core density of the battery. This proposed impact model provides a theoretical guidance for the multi-functional integrated dynamic design of prismatic battery cells. © 2022 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.     

机械运动诱导的111In和32P核衰变速率变化

考察了外在的机械运动诱导的放射性核素¹¹¹In的电子俘获衰变和³²P的β衰变速率的变化. 结果表明, 在地球北半球的顺时针和逆时针圆周离心运动中(半径8 cm, 2000 r/min), ¹¹¹In电子俘获衰变的半衰期比文献值(2.83 d)分别降低2.83%和增加1.77%, ³²P的β衰变的半衰期比文献值(14.29 d)分别降低3.78%和增加1.75%; 当顺时针和逆时针圆周运动的转速增加为4000 r/min时, ¹¹¹In的半衰期分别降低11.31%和增加6.36%, ³²P的半衰期分别降低10.08%和增加4.34%. 当外在机械运动作用取消后, 放射性核素¹¹¹In和³²P的衰变速率均分别恢复到正常文献值. 发现外在圆周运动依赖顺时针和逆时针方向分别明显增加和降低¹¹¹In和³²P衰变过程的衰变速率, 并且其效应随圆周离心运动转速的增加而增加. 这些结果可能起因于不对称的力学作用.     

大尺度大气运动方程组解的一些性质——定常外源强迫下的非线性适应

本文从大尺度大气运动方程组出发,讨论了定常外源强迫下大气系统的长期行为。建立了基本的泛函空间和算子方程,证明了解的存在唯一性定理,在此基础上讨论了整体吸收集以及其中的不变点集的存在性。揭示了系统向外源的非线性适应过程。     

在“高聚物的结构与性能”课程中讲透高聚物的特点

通过对高分子链的柔性、聚合物独有的熵弹性、显著的粘弹性、特有的描述链段运动的WLF方程,可能实现的大尺寸取向和小尺寸解取向、银纹、单链凝聚态、折叠链片晶和伸直链晶体、分子量的多分散性、高分子溶液特性和高聚物熔体的弹性行为等的讨论,希望能突出“高聚物的结构与性能”课程中高聚物的特点。     

半夏凝集素对小鼠运动神经末梢膜电流的作用

从药用植物半夏的块茎鲜汁中提取的半夏凝集素(PTL),易化小鼠运动神经末梢的乙酰胆碱(ACh)量子释放,可在人工脂双层形成阳离子通道。本文报道了它对运动神经末梢膜电流的作用。 实验进行于小鼠肋间神经胸三角肌标本,利用神经周膜(perineurium)下记录,观察PTL对神经末梢前区的钠流、来源于神经末梢的三种钾流和两种钙流的影响,结果发现,PTL增大电压依赖快钙(I_(Ca),+),钠(I_(Na))和依Ca~(2+)钾流(I_K,Ca);而对电压依赖快(I_K,f)、慢(I_K,s)钾流却均无可见影响。作用是不可逆的,但PTL的专一结合糖-甘露聚糖可使之逆转。PTL这些作用的总合效应将促进Ca~(2+)内流,提高[Ca]_i,从而易化神经递质释放。据我们所知,这是凝集素影响哺乳类动物运动神经末梢膜电流的第一个报道。     

自由表面附近运动的位错——各向异性介质情况

本文将Eshelby等人关于无限各向异性介质中静止位错弹性理论加以推广,并结合运用Green张量函数积分法提出计算半无限各向异性介质中在自由表面附近运动位错弹性场的处理方案,作为示例,以γ-Fe/自由空间系统进行数值计算,计算结果显示出位错运动对弹性场的影响,当位错运动速度v→0时,与静止位错的情况一致,离自由表面越近的场点处表面效应越显著,位错所受的“像力”表示自由表面对运动位错有“吸引”作用,本文所提出的简单理论和方法可适用于任意各向异性介质中运动位错的弹性场及所受“像力”的计算,这对研究介质的一些力 关键词：     

二相介质中的运动位错

本文考虑二相介质中与平面相界平行的匀速运动直线位错。采用了与位错相对静止的运动坐标系,在此坐标系中推广位错各向异性弹性理论的普遍方法,并利用弹性力学中的格林函数方法处理相界面,计算得到此位错在介质中所产生的总弹性场,以及其所受到的“像力”。本文所提出的理论方法有一般的适用性,结果可以用于考虑此位错与其它缺陷的相互作用,以及二相介质的力学性质。 关键词：     

利用机会运动声源的水平阵地声反演EI北大核心CSCD

针对利用机会运动声源的反演问题,提出一种对水平阵的非相干波束输出进行重构并获得海底声学参数的反演方法。不同于匹配场反演,该方法利用了声场的平滑平均原理,并且将衰减简正波的影响比例提升。仿真分析表明所提方法相比于匹配场反演对海底衰减系数更加敏感并且对声源的空间位置误差更加宽容。实验数据的反演结果表明研究海域在30~160 Hz频率范围内海底衰减系数随频率的变化关系为(0.34±0.18) f^(1.59±0.27)dB/m(f的单位是kHz),并且给出了由反演出的参数计算的传播损失曲线与实验的声传播损失数据的比较,所提方法比匹配场反演方法更准确地表征了声场传播特征。     

对“运动的独立性”与“力的独立作用原理”的再认识——兼论“平抛运动”教学的逻辑

中学物理教学中对“运动的独立性”与“力的独立作用原理”一直存在模糊认识,本文从物理学科结构的视角,深入分析了其实质内涵.同时,探讨了与之紧密相关的“平抛运动”教学的逻辑问题.最后指出了理清这些关系对教学的启示.     

Application of DEM modified with enlarged particle model to simulation of bead motion in a bead mill

We applied the discrete element method （DEM） of simulation modified by an enlarged particle model to simulate bead motion in a large bead mill. The stainless-steel bead mill has inner diameter of 102 mm and mill length of 198 mm. The bead diameter and filling ratio were fixed respectively at 0.5 mm and 85%. The agitator rotational speed was changed from 1863 to 3261 rpm. The bead motion was monitored experimentally using a high-speed video camera through a transparent mill body. For the simulation, enlarged particle sizes were set as 3-6 mm in diameter. With the DEM modified by the enlarged particle model, the motion of enlarged particles in a mill was simulated.The velocity data of the simulated enlarged particles were compared with those obtained in the experiment. The simulated velocity of the enlarged particles depends on the virtual frictional coefficient in the DEM model. The optimized value of the virtual frictional coefficient can be determined by considering the accumulated mean value. Results show that the velocity of the enlarged particles simulated increases with an increase in the optimum virtual frictional coefficient, but the simulated velocity agrees well with that determined experimentally by optimizing the virtual frictional coefficient in the simulation. The computing time in the simulation decreases with increased particle size.