Sensitivity Analysis of Electromagnetic Scattering from Dielectric Targets with Polynomial Chaos Expansion and Method of Moments

In this paper,an adaptive polynomial chaos expansion method(PCE)based on the method of moments(MoM)is proposed to construct surrogate models for electromagnetic scattering and further sensitivity analysis.The MoM is applied to accurately solve the electric field integral equation(EFIE)of electromagnetic scattering from homogeneous dielectric targets.Within the bistatic radar cross section(RCS)as the research object,the adaptive PCE algorithm is devoted to selecting the appropriate order to construct the multivariate surrogate model.The corresponding sensitivity results are given by the further derivative operation,which is compared with those of the finite difference method(FDM).Several examples are provided to demonstrate the effectiveness of the proposed algorithm for sensitivity analysis of electromagnetic scattering from homogeneous dielectric targets.

The deterministic condition for the ground reaction force acting point on the combined knee valgus and tibial internal rotation moments in early phase of cutting maneuvers in female athletes

Background:Combined knee valgus and tibial internal rotation(VL+IR)moments have been shown to stress the anterior cruciate ligament(ACL)in several in vitro cadaveric studies.To utilize this knowledge for non-contact ACL injury prevention in sports,it is necessary to elucidate how the ground reaction force(GRF)acting point(center of pressure(CoP))in the stance foot produces combined knee VL+IR moments in risky maneuvers,such as cuttings.However,the effects of the GRF acting point on the development of the combined knee VL+IR moment in cutting are still unknown.Methods:We first established the deterministic mechanical condition that the CoP position relative to the tibial rotational axis differentiates the GRF vector’s directional probability for developing the combined knee VL+IR moment,and theoretically predicted that when the CoP is posterior to the tibial rotational axis,the GRF vector is more likely to produce the combined knee VL+IR moment than when the CoP is anterior to the tibial rotational axis.Then,we tested a stochastic aspect of our theory in a lab-controlled in vivo experiment.Fourteen females performed 60˚cutting under forefoot/rearfoot strike conditions(10 trials each).The positions of lower limb markers and GRF data were measured,and the knee moment due to GRF vector was calculated.The trials were divided into anterior-and posterior-CoP groups depending on the CoP position relative to the tibial rotational axis at each 10 ms interval from 0 to 100 ms after foot strike,and the occurrence rate of the combined knee VL+IR moment was compared between trial groups.Results:The posterior-CoP group showed significantly higher occurrence rates of the combined knee VL+IR moment(maximum of 82.8%)at every time point than those of the anterior-CoP trials,as theoretically predicted by the deterministic mechanical condition.Conclusion:The rearfoot strikes inducing the posterior CoP should be avoided to reduce the risk of non-contact ACL injury associated with the combined knee VL+IR stress.

Unusual magnetic relaxation in a single-molecule magnet with toroidal magnetic moments

We report the synthesis and characterization of a single-molecule magnet composed of triangular clusters of dysprosium ions.The structural study shows that the symmetry changes from one polar point group(mm2)at room temperature to another polar point group(m)at low temperature.Magnetic studies and theory calculations illustrate that the vortex distribution of magnetic dipoles in the triangular dysprosium clusters forms a toroidal magnetic moment.Interestingly,the analysis of AC magnetic susceptibility reveals the coexistence of three distinct magnetic relaxation processes,corresponding to the Raman,Orbach,and QTM relaxation pathways,respectively.The sum of three modified Debye functions is successfully used to describe the multiple relaxation behavior.

Dynamic connectedness and network in the high moments of cryptocurrency,stock,and commodity markets

This study examines the connectedness in high-order moments between cryptocurrency,major stock(U.S.,U.K.,Eurozone,and Japan),and commodity(gold and oil)markets.Using intraday data from 2020 to 2022 and the time and frequency connectedness models of Diebold and Yilmaz(Int J Forecast 28(1):57–66,2012)and Barunik and Křehlik(J Financ Econom 16(2):271–296,2018),we investigate spillovers among the markets in realized volatility,the jump component of realized volatility,realized skewness,and realized kurtosis.These higher-order moments allow us to identify the unique characteristics of financial returns,such as asymmetry and fat tails,thereby capturing various market risks such as downside risk and tail risk.Our results show that the cryptocurrency,stock,and commodity markets are highly connected in terms of volatility and in the jump component of volatility,while their connectedness in skewness and kurtosis is smaller.Moreover,jump and volatility connectedness are more persistent than that of skewness and kurtosis connectedness.Our rolling-window analysis of the connectedness models shows that connectedness varies over time across all moments,and tends to increase during periods of high uncertainty.Finally,we show the potential of gold and oil as hedging and safe-haven investments for other markets given that they are the least connected to other markets across all moments and investment horizons.Our findings provide useful information for designing effective portfolio management and cryptocurrency regulations.

Explaining Pomeranchuk Effect by Parity of Magnetic Moments of Leptons and Hadrons for Superconductivity in 3He and Graphene*

The mystery of superconductivity has intrigued scientists for 110 years now. The author in 2014 specifically predicted the superconductivity in carbon, sulfur and hydrogen compounds and generally predicted carbonaceous, hydrogeneous and sulfurous compounds in 2005 with reference to scattering to asymmetric orbital motions and associated spin and orbital exchanges between nuclei and electrons. The emphasis was in 2005 upon stronger electron and nuclear interactions and electron-phonon effects. But here the author develops more the un-gerade parity of the p and f orbitals and their contributions to the superconductivity at lower pressures and higher temperatures. On the bases of such, the role of parity from the origin and inflation of the Universe is noted and dark and bright energies and matters in the mature Universe are reasoned. Moreover, the superconductors are all reasoned by positive and negative nuclear magnetic moments (NMMs) with availability of un-gerade parities of p and f subshells and their orbitals. In addition to superconductivity, such positive and negative NMMs by Little Effect is presented for explaining Pomeranchuk Effect and thereby further explaining superconductivity and superfluidity of 3He. On the bases of successes of Little Effect via positive and negative NMMs, in particular negative NMMs of 3He, the superconductivity in twisted graphene is explained and also its recently discovered Pomeranchuk Effect.

Moments of Inertia, Magnetic Dipole Moments, and Electric Quadrupole Moments of the Lithium Isotopes

The single-particle Schrödinger fluid model is designed mainly to calculate the moments of inertia of the axially symmetric deformed nuclei by assuming that each nucleon in the nucleus is moving in a single-particle potential which is deformed with time t, through its parametric dependence on a classical shape variable α(t). Also, the Nilsson model is designed for the calculations of the single-particle energy levels, the magnetic dipole moments, and the electric quadrupole moments of axially symmetric deformed nuclei by assuming that all the nucleons are moving in the field of an anisotropic oscillator potential. On the other hand, the nuclear superfluidity model is designed for the calculations of the nuclear moments of inertia and the electric quadrupole moments of deformed nuclei which have no axes of symmetry by assuming that the nucleons are moving in a quadruple deformed potential. Furthermore, the cranked Nilsson model is designed for the calculations of the total nuclear energy and the quadrupole moments of deformed nuclei which have no axes of symmetry by modifying the Nilsson potential to include second and fourth order oscillations. Accordingly, to investigate whether the six p-shell isotopes 6Li, 7Li, 8Li, 9Li, 10Li, and 11Li have axes of symmetry or not, we applied the four mentioned models to each nucleus by calculating their moments of inertia, their magnetic dipole moments, and their electric quadrupole moments by varying the deformation parameter β and the non-axiality parameter γ in wide ranges of values for this reason. Hence for the assumption that these isotopes are deformed and have axes of symmetry, we applied the single-particle Schrödinger fluid model and the Nilsson model. On the other hand, for the assumption that these isotopes are deformed and have no axes of symmetry, we applied the cranked Nilsson model and the nuclear super fluidity model. As a result of our calculations, we can conclude that the nucleus 6Li may be assumed to be deformed and has an axis of symmetry.

基于LQ-moments的洪水频率分布参数计算方法研究

为改善频率曲线高尾部对实测洪水大值段的拟合效果,提高大重现期洪水设计值精度,研究LQmoments(LQM)法在洪水频率分布参数估计中的应用。LQM法是L-moments(LM)法的扩展方法,具有较好的不偏性和稳健性。以6个年最大洪峰流量系列为例,进行P-Ⅲ分布和GEV分布LQM法的参数估计,以累积相对偏差平方和(δ)、RMSE和平均绝对误差(MAE)为标准,评价和比较LQM法和LM法对P-Ⅲ和GEV分布参数的估计精度和拟合效果。结果表明,P-Ⅲ分布LQM法取得了很好的拟合效果,6个洪峰流量系列中,5个系列的最优参数估计方法为LQM法,其中3个系列的最优分布为P-Ⅲ分布;与LM法相比,LQM法能更好地拟合洪水序列大值部分,提高大重现期设计值估计精度,是洪水频率分布参数估计的有效方法。

基于密度泛函理论对团簇CrPS_(4)的光谱分析

为快速、高效得到物质的谱图数据,利用计算化学方法,根据拓扑学原理,利用密度泛函理论,对团簇CrPS_(4)10种优化构型的红外光谱、拉曼光谱、偶极矩以及极化率进行了分析,并利用构型2^((4))的理论红外谱图与前人所得实际光谱图进行了对比。结果显示:CrPS_(4)红外光谱的波峰大致分布在300~700 cm^(-1)范围内,拉曼光谱的波峰范围主要分布在200~700 cm^(-1)范围内;团簇CrPS_(4)振动形式为伸缩振动时,其对入射光的吸收强度较大;在频率较低的波段,CrPS_(4)更易发生红外吸收,在频率较高的波段,更易发生拉曼散射;总偶极矩的排列顺序为2^((2))>6^((4))>4^((2))>3^((2))>3^((4))>4^((4))>1^((2))>2^((4))>5^((4))>1^((4)),偶极矩越大,红外活性越强;极化率大小关系满足5^((4))<1^((4))<6^((4))<4^((4))<3^((4))<1^((2))<2^((4))<2^((2))<3^((2))<4^((2)),极化率越大,拉曼活性越强;所有构型的3大主轴中,XX轴的极化率均大于YY轴与ZZ轴;构型2^((4))的理论光谱图与实际结果对比发现,两者光谱图波峰频率基本吻合,实验与理论分析互为补充。

市场激励型环境规制与区域绿色创新效率——基于产业结构优化的中介作用和财政分权的调节作用

市场激励型环境规制是解决环境治理负外部性、推进区域绿色创新效率的重要途径。以2005~2020年省级面板数据为研究对象,采用系统广义矩模型(GMM)法检验市场激励型环境规制对区域绿色创新效率的影响效应及作用机理。结果表明:市场激励型环境规制能够显著促进区域绿色创新效率的提升;从影响机制来看,市场激励型环境规制可以通过促进产业结构合理化和产业结构高级化显著促进区域绿色创新效率的提升。此外,有效的财政分权环境能够正向调节市场激励型环境规制与区域绿色创新效率的关系。

矩差分析理论及其在配电网最小弃光决策中的应用

高比例分布式光伏接入配电网会导致潮流返送和电压越限等一系列问题,严重威胁到配电网的安全运行。文中提出了含分布式光伏配电网的矩差分析理论,将配电网对分布式光伏的消纳问题转化成恢复和维持矩差方程的平衡问题。对一个给定的配电网,当最高节点电压等于规定的电压上限时,光伏矩减去负荷矩的矩差近似为一个常数,称为临界矩差。临界矩差代表了配电网对分布式光伏消纳能力的极限,光伏矩才是配电网需要消纳的对象,而负荷矩是消纳光伏矩的资源。基于矩差分析理论提出了配电网分布式光伏的最小弃光决策,并应用于某10 kV单分支配电线路以及12.66 kV的IEEE 33节点多分支配电网的分析计算。算例表明,所提的最小弃光决策在误差不大于1.2%条件下,寻优速度提高了2877倍,验证了该方法的正确性和快速性。

考虑结合面影响的弯矩载荷下法兰螺栓载荷计算方法

针对法兰结构的结合面和螺栓共同承受外部弯矩载荷,基于梁的纯弯理论,依据梁的弯曲平面假设及单向受力假设,提出一种基于法兰整体惯性矩的螺栓载荷分析方法。该方法通过计算法兰结构在弯矩载荷下法兰结合面、螺栓的整体惯性矩,再根据弯矩载荷计算最大螺栓载荷。该方法根据法兰结合面尺寸、螺栓分布计算螺栓载荷,不受法兰结构形式的影响。采用该方法、有限元法、中心回转计算法、偏心回转计算法对典型法兰结构在弯矩载荷下的螺栓受力进行分析,该方法与有限元分析方法计算结果一致,相对于其他方法具有更高的精度。将该方法、中心回转计算法、偏心回转计算法应用于带有翼板的法兰结构,该方法得到的螺栓载荷相对较小。

含引气剂海工混凝土的抗冻性能及其梁受弯承载力

为了研究引气剂对海工混凝土抗冻性能及其梁受弯承载力的影响,对2种配合比6根海工混凝土梁及相应的冻损试件进行总计100次快速冻融试验;采用质量损失率、动弹性模量损伤度和抗压强度损失率对混凝土冻融损伤程度进行有效评价;考虑混凝土抗压强度退化以及等效矩形应力图系数的变化,提出了冻融作用下海工混凝土梁正截面受弯承载力计算公式。结果表明:加入引气剂可以增强海工混凝土的抗冻性能,降低梁的开裂弯矩退化速率,但会降低混凝土强度和梁的极限弯矩;在150次冻融循环内,提出的模型能够较好地预测冻融作用下海工混凝土梁的正截面受弯承载力。

端钩型钢纤维混凝土简支梁受弯承载力试验

为改善普通钢筋混凝土梁自重大、易开裂、承载力低等缺点,在混凝土中常加入钢纤维,端钩型钢纤维,作为常见的一种高性能钢纤维得到广泛关注,中外学者针对端钩型钢纤维混凝土的基本力学性能开展了较多研究,而对端钩型钢纤维混凝土受弯构件的正截面受力性能有待深入研究。为研究端钩型钢纤维混凝土简支梁受弯性能,制作4根端钩型钢纤维混凝土梁及1根普通混凝土梁,对其进行受弯性能试验,根据试验得到的破坏形态、承载力、荷载-挠度曲线、荷载-应变曲线,分析端钩型钢纤维体积掺量对试件受弯承载力及破坏形态的影响。结果表明:端钩型钢纤维混凝土简支梁与一般混凝土简支梁受弯过程类似,均经历了弹性、开裂、带裂缝工作、破坏4个阶段;端钩型钢纤维混凝土简支梁与一般混凝土简支梁受弯过程均基本符合“平截面假定”;端钩型钢纤维限制了裂缝的产生和发展,使得纤维混凝土梁变形能力增强;与一般混凝土梁相比,端钩型钢纤维混凝土梁抗裂性及极限承载力得到提高,且构件承载力与钢纤维体积掺量基本呈现正相关;基于试验数据,对现行规范中开裂弯矩及极限承载力计算公式进行优化,开裂弯矩方面考虑对截面抵抗矩塑性影响系数进行修正,极限承载力方面引入纤维混凝土正截面承载力影响系数ζ,经修正计算值可较好吻合试验值。

一种用于大型风电机组叶片自重载荷标定的弯矩解析方法研究

在大型风电机组的机械载荷测试中,叶片自重引起的摆振弯矩和挥舞弯矩的载荷标定精确度直接影响叶片和风轮的载荷测试效果。因此分析叶片自重在应变片测量位置的弯矩解析结果是叶片载荷标定的关键。首先,运用解析几何原理,提出了一种基于优选的三维坐标系和坐标变换的叶片自重弯矩解析方法。其次,为了消除主轴倾角对优选的三维坐标系的影响,提出了一种在优选的三维坐标系中调整叶片重力矢量方向的方法,并推导出了考虑各种影响因素下的弦摆振弯矩、弦挥舞弯矩的解析表达式。最后,在实际的叶片载荷测试项目中,应用两种标定分析方法进行对比,两种方法得到的叶片载荷测试结果具有很好的一致性和代表性。理论分析和试验结果验证了本文所提的叶片自重弯矩解析方法对叶片载荷标定的有效性和可行性。

数字经济、文化距离与中国文化产品出口——基于39个贸易伙伴国的实证研究

本文基于2010~2021年中国与39个主要文化贸易伙伴国的面板数据,构建扩展的贸易引力模型,利用动态系统广义矩估计以及门槛面板回归的方法,实证分析数字经济与文化距离对文化产品出口的影响。研究发现:(1)数字经济对中国文化产品出口具有显著的促进作用,而文化距离则具有反向抑制作用;(2)异质性分析显示数字经济对不同类别文化产品出口的促进作用有所差异,其中对音像和交互媒体类文化产品促进作用最大,对书籍和报刊类文化产品影响不显著;(3)门槛面板分析显示,当中国与贸易伙伴国之间的文化距离超过门槛值后,数字经济对文化产品出口的促进作用由显著促进变为不显著促进。基于此,本文提出利用数字技术赋能文化贸易发展、突破文化距离限制、优化文化产品出口结构、提高数字贸易规则制定的话语权等若干建议。

考虑弯矩影响的含腐蚀缺陷X80管道失效内压的计算方法

通过非线性有限元方法研究了弯矩影响下含腐蚀缺陷X80管道失效内压与腐蚀缺陷深度、长度、宽度等参数的相关性,并给出相应的失效内压预测方法。结果表明:弯矩,腐蚀缺陷尺寸(深度、长度和宽度)等均会对含腐蚀缺陷高钢级管道的失效内压产生影响,给出的弯矩影响下含腐蚀缺陷高钢级管道的失效内压预测方法可以准确预测管道的失效内压,对实际工程具有指导意义。

弹体尾部斜锥面形状对侵彻偏转的影响

针对弹体斜侵彻多层靶时弹道发生的偏转问题,建立了弹体尾部为斜锥面结构的弹体侵彻偏转理论计算模型,获得了当速度为0.2~1.2km/s、着角为-30°~20°、弹体半径为30~60 mm、尾飘斜面与弹轴的夹角为0°~4°时偏转随尾部结构的变化规律,通过与试验结果进行对比,验证了模型的准确性。结果表明:弹体侵彻仰靶时,弹尾形成负的偏转力矩,弹体产生“低头”效果;弹体侵彻俯靶时,弹尾形成正的偏转力矩,弹体产生“抬头”效果;弹体尾部斜锥面产生的垂直弹轴的偏转力矩约为平行弹轴的偏转力矩的100倍;增大尾飘斜面与弹轴的夹角、尾飘长度、弹体半径均可增大偏转力矩;与增大尾飘长度相比,增大尾飘斜面与弹轴的夹角对增大偏转力矩更有效。

基于弯矩修正法的浅水区海底直铺管道允许悬跨长度计算

海底管道悬空问题是管道工程建设中经常遇到的重要问题,当管道的悬跨长度达到一定值时,管道较容易失稳,而悬空油气管道失稳破坏导致的后果往往非常严重,因此需要对悬空的海底管道进行定期的维护和处理,但由于海上作业难度大,针对悬空管道的治理成本非常高,因此可考虑对处于悬空但在安全允许悬空范围内的管道暂时不进行加固,此时就需要计算管道的允许悬跨长度,为管道的治理提供依据。由于我国油田大多建设在近海地区,因此在考虑管道的悬空问题时需考虑浅水区波浪的特点。本文考虑浅水区波浪的非线性影响,推导得到浅水区波浪场内任意一水质点的水平流速和竖向流速计算公式,并根据该公式和Morison方程,进一步建立了管道悬跨水动力载荷的表达式,最后基于弯矩修正法,提出浅水区平铺海底管道允许悬跨长度计算公式。根据工程实例,结合本文研究,计算得到该工程所在海区平铺管道允许悬跨长度。

一类由空间粗糙高斯噪声驱动分数阶动力学方程的性质研究

本文主要研究了一类空间粗糙高斯噪声驱动的分数阶动力学方程,其中高斯噪声关于时间是白色的,关于空间的相依结构由Hurst指数小于1/2的分数布朗运动的协方差刻画.基于Malliavin分析技巧,我们证明了该类方程温和解在Skorohod意义下的存在性.同时证明了其温和解矩的上、下界的估计.最后证明了其温和解关于时间和空间变量的Holder连续性.

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