Cassini's motions of the Moon and Mercury and possible excitations of free librations

On the basis of conditionally-periodic solutions of Hamiltonian systems at resonance of main frequencies Cassini’s motions, their stability, Cassini’s angle and periods of free librations of the Moon and Mercury have been recently studied and determined. The generalized formulations of Cassini’s laws for the motion of the Moon and Mercury, that are considered as absolutely rigid non-spherical bodies, have been determined. The study of the second approximation equations of the desired quasi-periodic solutions in the case of the Moon allows us to determine the constant components of the first order for six Andoyer variables and the constant component of the second order for the angular velocity of the Moon. These effects are caused by the influence of the third harmonic of selenopotential. In this paper, these effects are described by analytical formulas, the dynamic and geometric interpretations are given, and a new interpretation of Mercury’s motion under the generalized Cassini’s laws has been proposed. Predictions of the existence of free librations of significant amplitude in the Mercury longitude, that are confirmed by the radar measurements data of the Mercury angular velocity, and in its pole motion in the body and in space have been made. The mechanism describing free librations of celestial bodies and their pole oscillations has been proposed due to the forced relative oscillations and wobble of the core-mantle system of celestial bodies（Moon, Mercury, Earth and other bodies in the solar system） under gravitational action of the external celestial bodies. The paper shows that the ascending node of equator of Mercury（and the intermediate plane orthogonal to the angular momentum） of epoch 2000.0 on the ecliptic does not coincide with the ascending node of orbital plane of Mercury on the same plane, and is ahead of it at an angle 23°4’. Angular momentum vector of the rotational motion of Mercury forms a constant angle p;=4’1±1’1 with normal to the moveable plane of its orbit. The observed inclination of the angular velocity p;=2’1±0’1, can be considered as a possible evidence of a significant amplitude of the poles free motion of the Mercury rotation axis（c amplitude of about 2’-4’）.

Pulses in ground motions identified through surface partial matching and their impact on seismic rocking consequence

In seismology and earthquake engineering,it is fundamental to identify and characterize the pulse-like features in pulse-type ground motions.To capture the pulses that dominate structural responses,this study establishes congruence and shift relationships between response spectrum surfaces.A similarity search between spectrum surfaces,supplemented with a similarity search in time series,has been applied to characterize the pulse-like features in pulse-type ground motions.The identified pulses are tested in predicting the rocking consequences of slender rectangular blocks under the original ground motions.Generally,the prediction is promising for the majority of the ground motions where the dominant pulse is correctly identified.

Multiparameter Numerical Investigation of Two Types of Moving Interactions Between the Deep-Sea Mining Vehicle Track Plate and Seabed Soil:Digging and Rotating Motions

To ensure the safe performance of deep-sea mining vehicles(DSMVs),it is necessary to study the mechanical characteristics of the interaction between the seabed soil and the track plate.The rotation and digging motions of the track plate are important links in the contact between the driving mechanism of the DSMV and seabed soil.In this study,a numerical simulation is conducted using the coupled Eulerian–Lagrangian(CEL)large deformation numerical method to investigate the interaction between the track plate of the DSMV and the seabed soil under two working conditions:rotating condition and digging condition.First,a soil numerical model is established based on the elastoplastic mechanical characterization using the basic physical and mechanical properties of the seabed soil obtained by in situ sampling.Subsequently,the soil disturbance mechanism and the dynamic mechanical response of the track plate under rotating and digging conditions are obtained through the analysis of the sensitivity of the motion parameters,the grouser structure,the layered soil features and the soil heterogeneity.The results indicate that the above parameters remarkably influence the interaction between the DSMV and the seabed soil.Therefore,it is important to consider the rotating and digging motion of the DSMV in practical engineering to develop a detailed optimization design of the track plate.

Monitoring absolute vertical land motions and absolute sea-level changes from GPS and tide gauges data over French Polynesia

In this study,we estimate the absolute vertical land motions at three tidal stations with collocated Global Navigation Satellite System(GNSS)receivers over French Polynesia during the period 2007-2020,and obtain,as ancillary results,estimates of the absolute changes in sea level at the same locations.To verify our processing approach to determining vertical motion,we first modeled vertical motion at the International GNSS Service(IGS)THTI station located in the capital island of Tahiti and compared our estimate with previous independent determinations,with a good agreement.We obtained the following estimates for the vertical land motions at the tide gauges:Tubuai island,Austral Archipelago-0.92±0.17 mm/yr,Vairao village,Tahiti Iti:-0.49±0.39 mm/yr,Rikitea,Gambier Archipelago-0.43±0.17 mm/yr.The absolute variations of the sea level are:Tubuai island,Austral Archipelago 5.25±0.60 mm/yr,Vairao village,Tahiti Iti:3.62±0.52 mm/yr,Rikitea,Gambier Archipelago 1.52±0.23 mm/yr.We discuss these absolute values in light of the values obtained from altimetric measurements and other means in French Polynesia.

Seismic response and correlation analysis of a pile-supported wharf to near-fault pulse-like ground motions

Earthquake investigations have shown that near-fault pulse-like(NF-P)ground motions have unique characteristics compared to near-fault non-pulse-like(NF-NP)and far-field(FF)ground motions.It is necessary to study the seismic response of pile-supported wharf(PSW)structures under NF-P ground motions.In this study,a three-dimensional finite element numerical model is created to simulate a PSW.By imparting three types of ground motion,the engineering demand parameters(EDPs)of PSW under NF-P ground motions were analyzed and compared,in which EDPs are the maximum displacement and bending moment of the piles.Twenty intensity measures(IMs)were selected to characterize the properties of ground motions.The correlation between IMs and EDPs was explored.The results show that the piles present larger displacement and bending moment under NF-P ground motions compared to NF-NP and FF ground motions.None of the IMs have a high correlation with EDPs under NF-P ground motions,and these IMs are more applicable to FF ground motions.The correlation coefficients between EDPs and IMs under three types of ground motion were obtained,which will provide a valuable reference for the seismic design of PSWs.

Time-Domain Higher-Order Boundary Element Method for Simulating High Forward-Speed Ship Motions in Waves

The hydrodynamic performance of a high forward-speed ship in obliquely propagating waves is numerically examined to assess both free motions and wave field in comparison with a low forward-speed ship.This numerical model is based on the time-domain potential flow theory and higher-order boundary element method,where an analytical expression is completely expanded to determine the base-unsteady coupling flow imposed on the moving condition of the ship.The ship in the numerical model may possess different advancing speeds,i.e.stationary,low speed,and high speed.The role of the water depth,wave height,wave period,and incident wave angle is analyzed by means of the accurate numerical model.It is found that the resonant motions of the high forward-speed ship are triggered by comparison with the stationary one.More specifically,a higher forward speed generates a V-shaped wave region with a larger elevation,which induces stronger resonant motions corresponding to larger wave periods.The shoaling effect is adverse to the motion of the low-speed ship,but is beneficial to the resonant motion of the high-speed ship.When waves obliquely propagate toward the ship,the V-shaped wave region would be broken due to the coupling effect between roll and pitch motions.It is also demonstrated that the maximum heave motion occurs in beam seas for stationary cases but occurs in head waves for high speeds.However,the variation of the pitch motion with period is hardly affected by wave incident angles.

基于三维运动捕捉技术构建蒙医震脑术三维虚拟仿真平台的视觉呈现

背景:基于三维运动捕捉技术可以构建精准的、客观量化的医学虚拟仿真模型,有利于临床学习者精准、深入理解和掌握各种传统疗术。目前中医虚拟仿真模型已有报道,但蒙医传统疗术的虚拟仿真模型尚未见报道。目的:构建一种基于三维运动捕捉技术的交互式三维可视化的蒙医震脑术虚拟仿真模型。方法:使用Motion Analysis三维光学运动捕捉系统和足底测力台采集蒙医专家的运动捕捉数据,在Motion Builder软件中构建震脑术三维动作模型,使用Maya软件构建角色模型并与动作模型相匹配,运动Unity3D软件构建蒙医震脑术虚拟仿真系统,系统整合蒙医震脑术操作3D动画、运动学和动力学参数信息。结果与结论:通过三维运动捕捉技术和计算机仿真重现蒙医震脑术操作,能够显示施术者和受试者的运动姿态,记录关节运动的关键空间位置参数与变化情况,得出运动过程中的运动学、动力学参数。运用交互式三维虚拟仿真技术,实现蒙医震脑术的三维虚拟仿真的视觉呈现,为蒙医震脑术手法的标准化、数字化、可视化研究奠定基础。

游泳运动对大鼠创伤性关节挛缩的影响及机制

背景:早期运动是预防创伤性关节挛缩的主要方式,也是近期研究热点。游泳运动借助水的特殊物理特性,可能是潜在有益的干预方式。目的:观察游泳运动对大鼠关节挛缩发展的影响,探究游泳运动预防关节挛缩的相关机制。方法:24只SD大鼠随机分为空白对照组(n=8)和关节挛缩造模组(n=16),手术制备膝关节挛缩模型后,再随机分为手术对照组(n=8)和游泳干预组(n=8)。游泳干预组在术后第2周开始游泳干预,共干预5周。在术后第6周,测试各组大鼠体质量、术侧膝关节活动度、股四头肌直径,计算直径-体质量指数;苏木精-伊红染色观察膝关节囊和股四头肌病理变化;Masson染色观察关节囊胶原纤维化改变;免疫组化检测膝关节囊中转化生长因子β1和Ⅰ型胶原蛋白表达;Western blot检测股四头肌中MuRF1蛋白的表达。结果与结论:①与空白对照组比较,手术对照组和游泳干预组大鼠膝关节活动度下降,总伸膝受限角度和关节源性伸膝受限角度均明显增加(P<0.01),股四头肌直径下降(P<0.01),关节囊出现明显纤维化表现,股四头肌萎缩,手术对照组直径-体质量指数降低(P<0.01);与手术对照组比较,游泳干预组大鼠膝关节活动度和股四头肌直径明显增加(P<0.01),关节囊纤维化病变和股四头肌萎缩明显改善;②与空白对照组比较,手术对照组和游泳干预组大鼠关节囊中胶原纤维含量、转化生长因子β1和Ⅰ型胶原蛋白表达均增加(P<0.01);与手术对照组比较,游泳干预组大鼠关节囊中胶原纤维含量、转化生长因子β1和Ⅰ型胶原蛋白表达均降低(P<0.01);③与空白对照组比较,手术对照组和游泳干预组大鼠股四头肌中MuRF1蛋白表达增加(P<0.05);与手术对照组比较,游泳干预组大鼠股四头肌中MuRF1蛋白表达降低(P<0.05)。结果表明:早期游泳干预能够降低创伤性挛缩大鼠关节囊中转化生长因子β1和Ⅰ型胶原蛋白表达,降低股四头肌中MuRF1蛋白表达,提高关节活动度和股四头肌直径,抑制关节挛缩的发展。

新型局部浸润麻醉应用于人工全膝关节置换的早期效果评估

背景:全膝关节置换后患者会经历明显的疼痛,这对功能恢复存在负面影响,探索并寻求有效的镇痛手段具有重要的临床价值。目的:为探求全膝关节置换患者有效的围术期镇痛策略,首次提出了一种由吗啡、氟比洛芬酯和复方倍他米松配置而成的新型局部浸润麻醉制剂,同时探讨该方案的有效性及安全性。方法:对2023年11月至2024年4月在安徽医科大学第一附属医院关节外科接受初次单侧全膝关节置换60例患者的临床资料进行回顾性分析,根据置换过程中是否使用局部浸润麻醉将患者分为对照组与研究组,每组30例。研究组在全膝关节置换过程中关节腔周围注射吗啡、氟比洛芬酯及复方倍他米松配置而成的局部浸润麻醉制剂,而对照组术中未使用任何镇痛药物作为空白对照。记录并比较两组患者在术后不同时间节点的疼痛目测类比评分、膝关节活动度、膝关节学会评分、术后膝关节肿胀程度及术后并发症的发生情况。结果与结论:①与对照组相比,研究组患者置换后6,12及24 h的疼痛目测类比评分更低,差异有显著性意义(Z=-2.367,-2.906,-4.199,P<0.05);但在术后48,72 h,两组患者的疼痛目测类比评分并无显著性差异(Z=-1.287,-1.478,P>0.05);②置换后第3天,研究组患者的膝关节活动度和膝关节学会评分均优于对照组,差异有显著性意义(t=-2.519,-8.027,P<0.05);③研究组患者术后的膝关节肿胀程度轻于对照组,差异有显著性意义(Z=-2.818,P<0.05);④在术后早期,两组患者的发热发生率相比无显著性差异(P>0.05),两组均未发生切口愈合不良及假体周围感染;⑤结果表明:在全膝关节置换过程中应用由吗啡、氟比洛芬酯及复方倍他米松组成的局部浸润麻醉制剂,可以明显减轻患者术后早期疼痛,并显示出较高的安全性,但仍需大样本的前瞻性研究提供数据支持。

ELLIPTIC MOTIONS ON MODAL CONVERSION ULTRASONIC MOTORS

The forming of elliptic motions on the modal conversion ultrasonic motors （MCUMs） is discussed. The principles of the modal conversion are investigated based on the coupling with the stator and the rotor, and using an independent coupler. The elliptical locus observed on the longitudinal-torslonal vibration converter with oblique slits is analyzed by using vibration theory. A method for the modal conversion is proposed by using the local mode of a substructure On a main structure. The method can be used to design the modal conversion type ultrasonic motors.

CALCULATING ACCURATE PERIODIC MOTIONS OF HARMONICALLY FORCED PIECEWISE LINEAR OSCILLATORS

This paper presents an efficient numerical scheme for calculating the periodic motion of a harmonically forced piecewise linear oscillator very accurately. The scheme is based on the shooting technique with the traditional numerical Poincare mapping and its Jacobian replaced by the piecewise analytic ones. Thus, the scheme gets rid of the requirement of the current schemes for an assumed order of the oscillator trajectory passing through different linear regions. The numerical examples in the paper demonstrate that the new scheme, compared with the current schemes, enables one to cope with more complicated dynamics of harmonically forced piecewise linear oscillators.

特发性脊柱侧弯患者步行生物力学特征:三维运动捕捉的横断面分析

背景:脊柱侧弯的生物力学分析病例数量有限,仅限于对脊柱或下肢独立进行生物力学分析,缺乏对人体多维度整体的评估,难以反映躯干与下肢在日常活动中的运动关系,不利于综合指导临床治疗。目的:通过测量脊柱侧弯患者在步行活动中的脊柱运动学,研究脊柱不同节段及下肢运动学/动力学在步态活动中的关系,以全方位多层次评估脊柱侧弯患者与正常人群在生物力学的差异,为临床防治脊柱侧弯提供循证依据。方法:此研究为一项横断面研究,于2020年7月至2021年6月,在福州大学城、福建中医药大学附属康复医院纳入脊柱侧弯患者28例及同年龄段正常人28例。采用三维运动捕捉系统以100 Hz的采样频率捕捉步态的运动学数据,2块测力台(AMTI 400600,采样频率1500 Hz)嵌于长10 m(数据采集有效长度为4 m),宽2.4 m平地走道采集动力学数据。比较两组受试者执行平地步行时步态时空参数,运动学及动力学参数的差异。所有受试者在纳入后立即接受全脊柱X射线片测量比较两组差异。结果与结论:(1)脊柱侧弯患者肩胛带-躯干相对旋转活动度、胸廓-骨盆相对旋转活动度较正常组小(P<0.05),骨盆旋转活动度相较正常组大(P<0.05)。(2)脊柱侧弯患者髋、膝关节屈伸活动度,髋关节凹凸侧屈伸峰力矩、地反力凸侧内外向峰值较正常组小(P<0.05)。(3)脊柱侧弯患者的膝关节屈伸活动度非对称性指数、肩胛带-躯干相对旋转活动度非对称性指数、胸廓-骨盆相对旋转活动度非对称性指数较正常组大(P<0.05)。(4)上述结果证实,脊柱侧弯患者在平地行走时肩胛带-胸廓-骨盆之间僵硬的运动模式,髋膝关节屈伸活动度减少,髋关节双侧屈伸力矩峰值及地反力凸侧内外向峰值降低。这些特征可以作为康复评估及治疗方案制定的依据。

Maxsurf Motions模块在船舶耐波性上的应用与验证

船舶作为海洋中最主要的运动物体,其在海浪中的运动问题,是船舶适航性、耐波性的基础,同时也是船舶设计建造中的关键步骤。采用Maxsurf Motions模块对4种国际标准船模进行了耐波性计算,验证了Maxsurf Motions中的切片理论和面元法的计算精度与可靠性,探讨了Motions程序在船舶耐波性分析中的可行性,分析了Motions模块计算误差的原因。结果表明:Motions模块对船舶运动响应以及波浪增阻的计算精度基本令人满意。对于附加质量系数和阻尼系数,Motions在中高频波段的计算精度较高。研究成果对Maxsurf Motions的应用起到一定的借鉴和指导作用,同时也提供了一系列耐波性计算的验证算例。

从MotionScan看面部动态捕捉的改进和发展

本文旨在研究2010年公开的由澳大利亚Depth Analysis研发的面部动作捕捉技术Motion Scan;讨论了传统动作捕捉技术对于面部和肢体语言捕捉的处理和不足;系统介绍了Motion Scan技术的基本原理,处理方式和相关工具;分析了面部扫描技术的优点和不足;最后作者提出了面部动作捕捉未来的改进方向。本文是一篇对面部动作捕捉技术进行深入浅出的探讨的文章。

基于改进Informed-RRT^(*)的机械臂抓取运动规划

为提高工业机械臂对目标物体抓取及对障碍物躲避的效率和成功率,提出一种基于改进抓取信息引导的快速随机树星(GI-RRT^(*))的机械臂路径规划算法.首先,预先设定最大迭代次数和自适应函数,缩短机械臂运动轨迹生成时间,增强采样导向性和质量;其次,基于椭圆形子集直接采样,对采样点位置进行约束,提高采样效率;最后,采用贪心算法删除机械臂运动轨迹的冗余点,并使用三次B样条曲线平滑约束机械臂运动轨迹,提高机械臂运动轨迹的柔顺性.利用生成残差卷积神经网络模型预测,输入深度相机采集的彩色图像和深度图像,输出视场中物体的适当映射抓取位姿.为验证机械臂的抓取效果,选择三指气动柔性夹爪,设计柔性抓取模块,并结合法奥(FR3)协作机械臂构建自主抓取系统,进行二维地图仿真和机械臂样机实验.结果表明,与传统的信息引导的快速随机树星算法相比,GI-RRT^(*)算法运动轨迹长度缩短10.11%,轨迹生成时间缩短62.68%.同时,算法具有较强的鲁棒性.机械臂能独立地避开障碍物、抓取目标物体,满足其自主抓取的需求.

Simulation of multi-support depth-varying earthquake ground motions within heterogeneous onshore and offshore sites

This paper presents a novel approach to model and simulate the multi-support depth-varying seismic motions（MDSMs） within heterogeneous offshore and onshore sites.Based on 1 D wave propagation theory,the three-dimensional ground motion transfer functions on the surface or within an offshore or onshore site are derived by considering the effects of seawater and porous soils on the propagation of seismic P waves.Moreover,the depth-varying and spatial variation properties of seismic ground motions are considered in the ground motion simulation.Using the obtained transfer functions at any locations within a site,the offshore or onshore depth-varying seismic motions are stochastically simulated based on the spectral representation method（SRM）.The traditional approaches for simulating spatially varying ground motions are improved and extended to generate MDSMs within multiple offshore and onshore sites.The simulation results show that the PSD functions and coherency losses of the generated MDSMs are compatible with respective target values,which fully validates the effectiveness of the proposed simulation method.The synthesized MDSMs can provide strong support for the precise seismic response prediction and performance-based design of both offshore and onshore large-span engineering structures.

AERODYNAMIC FORCE AND FLOW STRUCTURES OF TWO AIRFOILS IN FLAPPING MOTIONS

Aerodynamic force and flow structures of two airfoils in a tandem configuration in flapping motions axe studied, by solving the Navier-Stokes equations in moving overset grids. Three typical phase differences between the fore- and aft-airfoil flapping cycles are considered. It is shown that: (1) in the case of no interaction (single airfoil), the time average of the vertical force coefficient over the downstroke is 2.74, which is about 3 times as large as the maximum steady-state lift coefficient of a dragonfly wing; the time average of the horizontal force coefficient is 1.97, which is also large. The reasons for the large force coefficients are the acceleration at the beginning of a stroke, the delayed stall and the 'pitching-up' motion near the end of the stroke. (2) In the cases of two-airfoils, the time-variations of the force and moment coefficients on each airfoil are broadly similar to that of the single airfoil in that the vertical force is mainly produced in downstroke and the horizontal force in upstroke, but very large differences exist due to the interaction. (3) For in-phase stroking, the major differences caused by the interaction are that the vertical force on FA in downstroke is increased and the horizontal force on FA in upstroke decreased. As a result, the magnitude of the resultant force is almost unchanged but it inclines less forward. (4) For counter stroking, the major differences are that the vertical force on AA in downstroke and the horizontal force on FA in upstroke are decreased. As a result, the magnitude of the resultant force is decreased by about 20 percent but its direction is almost unchanged. (5) For 90 degrees -phase-difference stroking, the major differences axe that the vertical force on AA in downstroke and the horizontal force on FA in upstroke axe decreased greatly and the horizontal force on AA in upstroke increased. As a result, the magnitude of the resultant force is decreased by about 28% and it inclines more forward. (6) Among the three cases of phase angles, inphase flapping produces the largest vertical force (also the largest resultant force); the 90 degrees -phase-difference flapping results in the largest horizontal force, but the smallest resultant force.

Direct use of peak ground motion parameters for the estimation of inelastic displacement ratio of SDOF systems subjected to repeated far fault ground motions

This study is aimed at developing statistical equations to estimate the inelastic displacement ratio of singledegree-of-freedom systems subjected to far fault repeated earthquakes. In the study, peak ground motion parameters are used to define the scatter of the original data. The ratio of peak ground acceleration to peak ground velocity, and peak ground velocity of the ground motion records and structural parameters such as period of vibration and lateral strength ratio are used in the proposed equations. For the development of the equations, nonlinear time history analyses of single-degree-offreedom systems are conducted. Then, the results are used in a multivariate regression procedure. The equations are verified by comparing the estimated results with the calculated results. The average error and coefficient of variation of the proposed equations are presented. The analyses results revealed that the direct use of peak ground motion parameters for the estimation of inelastic displacement ratio significantly reduced the scatter in the original data and yielded accurate results. From the comparative results it is also observed that results obtained using equations specific to peak ground velocity or peak ground acceleration to peak ground velocity ratio are similar.

Dominant pulse simulation of near fault ground motions

In this study, a new mathematical model is developed composed of two parts, including harmonic and polynomial expressions for simulating the dominant velocity pulse of near fault ground motions. Based on a proposed velocity function, the corresponding expressions for the ground acceleration and displacement time histories are also derived. The proposed model is then fitted using some selected pulse-like near fault ground motions in the Next Generation Attenuation （NGA） project library. The new model is not only simple in form but also simulates the long-period portion of actual velocity near fault records with a high level of precision. It is shown that the proposed model-based elastic response spectra are compatible with the near fault records in the neighborhood of the prevailing frequency of the pulse. The results indicate that the proposed model adequately simulates the components of the time histories. Finally, the energy of the proposed pulse was compared with the energy of the actual record to confirm the compatibility.

Features of near-inertial motions observed on the northern South China Sea shelf during the passage of two typhoons

Features of near-inertial motions on the shelf （60 m deep） of the northern South China Sea were observed under the passage of two typhoons during the summer of 2009. There are two peaks in spectra at both sub-inertial and super-inertial frequencies. The super-inertial energy maximizes near the surface, while the sub-inertial energy maximizes at a deeper layer of 15 m. The sub-inertial shift of frequency is induced by the negative background vorticity. The super-inertial shift is probably attributed to the near-inertial wave propagating from higher latitudes. The near-inertial currents exhibit a two-layer pattern being separated at mid-depth （25-30 m）, with the phase in the upper layer being nearly opposite to that in the lower layer. The vertical propagation of phase implies that the near-inertial energy is not dominantly downward. The upward flux of the near-inertial energy is more evident at the surface layer （〈17 m）. There exist two boundaries at 17 and 40 rn, where the near-inertial energy is reflected upward and downward. The near-inertial motion is intermittent and can reach a peak of as much as 30 cm/s. The passage of Typhoon Nangka generates an intensive near-inertial event, but Typhoon Linfa does not. This difference is attributed to the relative moor- ing locations, which is on the right hand side of Nangka＇s path （leading to a wind pattern rotating clockwise with time） and is on the left hand side of Linfa＇s path （leading to a wind pattern rotating anti-clockwise with time）.