复合材料层合板静压痕接触的等效弹性模量

在复合材料层合板静压痕接触问题中,由于层合板接触区域的纤维走向发生了变化,导致沿厚度方向的弹性模量产生变化并随着凹坑深度的增加而增大。本文建立压头压入后的力学分析模型,得到了与凹坑深度相关的沿厚度方向的等效弹性模量;将等效弹性模量代入目前被广泛接受的修正Hertz接触理论,建立了新的接触力与凹坑深度的关系式。通过与静压痕试验中接触力和凹坑深度的关系进行比较,结果表明该接触关系式能较好地描述接触力和凹坑深度的关系。与文献修正理论相比,在压痕较小时,本文的修正结果较好。     

桩柱水流作用力实验测量技术研究

桩柱的绕流水流作用力一直是工程设计中所关注的问题。为了精确地测量模型试验中竖直桩柱在不同来流夹角下的水流作用力,基于力的平衡原理,设计并制作了一种新的桩柱水流作用力试验测量装置,并采用标准砝码模拟水流作用力,验证了该测量装置在不同来流工况下的测量精度。结果表明:桩柱受不同来流夹角的水流作用力时,该装置都具有相当高的测量精度,可满足模型试验要求。因此,该测量方法可用于竖直桩柱在水平或斜向水流作用下模型试验中水流作用力的试验研究。     

NH4+( (H2O)n(n＝1～9)的量子化学和ABEEM/MM的理论研究

运用量子化学和ABEEM/MM浮动电荷分子力场, 构建描述铵离子-水体系相互作用的精密势能函数, 对 - (H₂O)_n (n＝1～9)簇合物的结构和稳定性等性质进行了研究. 对团簇的结合能和电荷布居分析发现, 当n≤4时, 随着水分子数目的增加, 与水分子间尽可能多地形成线型氢键, 直至水分子在 周围形成完整的第一水合层|当n≥5时, 簇合物以 为中心, 通过氢键网络形成的环状和笼状结构为最稳定. 与第一水合层水分子的相互作用强于水分子之间的相互作用. 结果表明, ABEEM/MM方法的结果与量子化学方法得到的结果有很好的一致性.     

人造玫瑰花花瓣的微结构分布与水滴黏附性质的关系

本文采用模板印刷法制备得到了“人造玫瑰花花瓣”,即具有玫瑰花花瓣结构的PDMS薄膜,通过对该薄膜逐级拉伸改变微观结构的分布;采用环境扫描电镜（ESEM）观察了不同拉伸程度下薄膜表面微观结构的变化,采用高敏感性微电力学天平测试了样品表面微观结构变化过程中水滴的粘附力,分析了微观结构分布与水滴粘附性质的关系;采用接触角测量仪表征不同拉伸条件下薄膜的浸润性.实验结果表明随着PDMS薄膜被逐次拉伸,单位面积内玫瑰花花瓣乳突的数目减少,纳米褶皱面积不断增加,而纳米级褶皱结构尺寸随着拉伸基本上不发生变化,直到样品破坏;与微观结构变化相对应的,该表面对水滴的粘附力先增大后减小,直到该表面彻底破坏.由此可见,微米结构及纳米结构的分布是影响玫瑰花花瓣对水滴粘附的主要因素.     

剪切载荷作用下植物细胞的力学特性分析

根据植物细胞的结构特点,以二维问题为研究对象,在已建立的植物单细胞力学模型的基础上,利用有限元方法和MATLAB计算软件研究了单细胞受到剪切载荷作用时,外力、应力、应变及内压间的相互关系,给出了关系曲线图。得出了在剪切情况下,外力、应力、应变及内压之间的关系是非线性的;细胞内压改变量随外力或细胞变形或细胞壁应力的增加而增加;细胞壁的应力随剪切力的增大而增大;细胞将在哪个方向破裂等6个结论。     

Spin force and torque in non-relativistic Dirac oscillator on a sphere

The spin force operator on a non-relativistic Dirac oscillator (in the non-relativistic limit the Dirac oscillator is a spin one-half 3D harmonic oscillator with strong spin–orbit interaction) is derived using the Heisenberg equations of motion and is seen to be formally similar to the force by the electromagnetic field on a moving charged particle. When confined to a sphere of radius R, it is shown that the Hamiltonian of this non-relativistic oscillator can be expressed as a mere kinetic energy operator with an anomalous part. As a result, the power by the spin force and torque operators in this case are seen to vanish. The spin force operator on the sphere is calculated explicitly and its torque is shown to be equal to the rate of change of the kinetic orbital angular momentum operator, again with an anomalous part. This, along with the conservation of the total angular momentum, suggests that the spin force exerts a spin-dependent torque on the kinetic orbital angular momentum operator in order to conserve total angular momentum. The presence of an anomalous spin part in the kinetic orbital angular momentum operator gives rise to an oscillatory behavior similar to the Zitterbewegung. It is suggested that the underlying physics that gives rise to the spin force and the Zitterbewegung is one and the same in NRDO and in systems that manifest spin Hall effect.     

Electro-mechanical behavior of single twisted high-temperature superconducting tape under transverse Lorentz force

In recent years, several cabling methods of high temperature superconducting (HTS) cable have been proposed; e.g., the conductor on a round core cable (CORC), the Roebel assembled coated conductor cable, the helical twisted stacking-tape cable (TSTC) and the twisted-stack slotted core HTS cable (TSSC). These cabling methods allow the high temperature superconducting tapes widely used in the high-field magnets. The single superconducting tape performance under applied loads directly relates to the transport performance of the cable and the choice of the cabling method. In this paper, we investigate the effect of twisting morphology on the electro-mechanical properties of HTS tapes. Particular attention is given to the transverse Lorentz force of a pre-twisted HTS tape. The analytical solution of the deflection of the HTS tape under transverse Lorentz force is derived. Then, the current distribution and AC loss of the tape are calculated by using H-formulation. The effects of twist angle and loading conditions are examined for different HTS tape lengths. The results show that the stiffness resistance ability to Lorentz force of the HTS tape can be increased in several ranges by increasing the twist angle. The twisting structure can also reduce current degradation and AC loss, and thus enhance the transport capacity of HTS tape. This study helps understand the electro-mechanical properties of pre-twisted HTS tapes and provides theoretical reference for the design of novel HTS cable structures.     

抗磁悬浮振动能量采集器动力学响应的仿真分析

分析了微型抗磁悬浮振动能量采集器中悬浮磁体的受力特性,发现了能量采集器的单稳态和双稳态现象,研究了能量采集器在不同工作状态下该两种稳态类型时的动力学响应特性.当能量采集器处于非工作的单稳态状态时,其动力学响应是在线性系统的基础上加入非线性扰动、幅频响应曲线向右偏转;热解石墨板间距越大,非线性扰动越强烈,右偏现象则越显著.当能量采集器处于非工作的双稳态状态时,其动力学响应比较复杂,出现倍周期、4倍周期以及混沌等非线性系统特有的现象.当能量采集器处于工作状态的双稳态状态时,其振动频率和外界激励频率保持一致,进行周期振动.该研究对抗磁悬浮振动能量采集器的结构设计具有重要的参考价值,为提高能量采集器的响应特性和输出性能提供了理论指导.     

协变密度泛函理论中的张量力效应

张量力是核子-核子相互作用的重要成分,被认为是理解奇特原子核中壳结构演化规律的关键要素。然而,目前对于核介质中的张量力及其效应的定量认识,仍存在很多亟待解决的关键问题。着重梳理了在原子核密度泛函理论框架下,研究有效相互作用中的张量力成分以及相应的张量力效应的相关工作,重点包括:基于相对论Hartree-Fock理论,以同位素链中的质子幻数壳演化为例,定量提取与分析其中的张量力效应;以及基于第一性原理的相对论Brueckner-Hartree-Fock理论,以中子滴单粒子能谱中的自旋-轨道劈裂演化为例,提出与张量力效应相关联的"准实验数据"。最后,展望原子核密度泛函理论今后可能的发展策略。Tensor force is one of the most important components of the nucleon-nucleon interaction. It plays a critical role in understanding the shell evolution in exotic nuclei. However, there are still several puzzles concerning the tensor force and its effects in the nuclear medium. In this paper, we mainly focus on the studies of tensor force in the effective interactions and its effects in finite nuclear systems within the scheme of nuclear density functional theory. In particular, we highlight the recent developments, including the quantitative analysis of tensor effects in the relativistic Hartree-Fock theory by taking the evolution of proton magic shells in the isotopic chains as an example, and the "meta-data" of tensor effects provided by the ab initio relativistic Brueckner-Hartree-Fock theory by taking the evolution of spin-orbit splitting in the single-particle spectra of neutron drops as an example. Perspectives are focused on the possible strategies for the future developments of nuclear density functional theory.     

基于相对论平均场有效对力的中子物质BCS-BEC渡越

基于核物质的相对论Hartree-Bogoliubov（RHB）理论,采用相对论平均场单玻色子交换形式的有效对相互作用,研究了不同对力强度下双中子关联及其中的BCS-BEC渡越现象。通过引入有效衰减因子χ调节对力强度,定量分析费米面处中子对能隙和单粒子动能比值△_Fn/e_Fn及无量纲参数1/（k_Fna）随费米动量k_Fn的演化行为,发现双中子对在χ=0.51时进入BCS-BEC渡越区域,在χ=0.67时可达到幺正极限。进而分析了中子对能隙、中子对波函数及相干长度等物理量在相应临界点处的特征,并给出渡越时双中子短程关联概率的定量判据。发现当配对中子处于平均中子间距以内的概率P（d_n）?0.80时,双中子对从纯BCS耦合过渡到BCS-BEC渡越区域。Based on the relativistic Hartree-Bogoliubov theory in nuclear matter, the dineutron correlations and the crossover from Bardeen-Cooper-Schrieffer (BCS) region of neutron Cooper pairs to Bose-Einstein condensation (BEC) are investigated with the one-boson-exchange type of pairing force generated from the relativistic mean field (RMF) model. By introducing an effective factor χ in the RMF effective pairing interaction, the density dependence of the ratios between neutron pairing gap at Fermi surface and neutron Fermi kinetic energy △_Fn/e_Fn and the dimensionless parameter 1/(k_Fna) are analyzed quantitatively. Then the criteria where dineutron correlations exactly reach the threshold of BCS-BEC crossover or unitary limit are determined to be χ=0.51 or 0.67, respectively. In addition, features of neutron pairing gap, Cooper pair wave function and dineutron coherence length are illustrated, and the value of the probability for partner neutrons correlated within the average inter-neutron distance, namely P (d_n) ?0.80, is obtained as a criterion of BCS-BEC crossover.