A complex analytic solution for the attitude motion of a near-symmetric rigid body under body-fixed torques

Although analytic solutions for the attitude motion of a rigid body are available for several special cases, a comprehensive theory does not exist in the literature for the more complicated problems found in spacecraft dynamics. In the present paper, analytic solutions in complex form are derived for the attitude motion of a near-symmetric rigid body under the influence of constant body-fixed torques. The solution is very compact, which enables efficient and rapid machine computation. Numerical simulations reveal that the solution is very accurate when applied to typical spinning spacecraft problems.     

North-south transfer zones and paleo-morphological reconstruction of the Xylokastro area (Corinth Gulf, Greece)

A large number of studies have documented the structural and sedimentary architecture of the Corinth Gulf, especially the major E–W trending normal faults important in accommodating the main extensional strain and associated growth of the Gilbert fan deltas. However, the role of several N–S oriented structures that crop out at the surface and are detectable at depth by seismic reflection and gravity surveys are not clearly understood. Based on new geological data, collected near Xylokastro, we describe the N–S oriented tectonic activity of this area. The mapped inland faults correspond to off-shore structures identified in re-interpreted seismic lines and appear to have acted as a major transfer zone during the opening of the Corinth Gulf. Reconstruction of the paleo-topography based on sedimentary facies and the environment of clay mineral formation suggest these transfer zones played an important role in controlling both local structural relief and depositional conditions of the Gilbert fan deltas.     

刚性挡土墙主动土压力颗粒流模拟

将土体离散为具有滑动连接模型的刚性条块,用颗粒流PFC2D程序数值从细观力学角度模拟了墙体平移(T)、绕墙底转动(RB)和绕墙顶转动(RT)位移模式下不同位移大小时刚性挡土主动土压力分布。模拟结果表明：刚性挡墙主动土压力非线性分布、墙土间外摩擦角和土体剪切角或内摩擦角对土压力有很大影响;墙体绕顶部转动时,大约0.3倍墙高以上的主动土压力大于静止土压力产生土拱效应;模拟计算值与模型试验实测数据吻合比较好,具有一定的理论价值。     

Numerical evaluation of the damping‐solvent extraction method in the frequency domain

The damping‐solvent extraction method for the analysis of unbounded visco‐elastic media is evaluated numerically in the frequency domain in order to investigate the influence of the computational parameters—domain size, amount of artificial damping, and mesh density—on the accuracy of results. An analytical estimate of this influence is presented, and specific questions regarding the influence of the parameters on the results are answered using the analytical estimate and numerical results for two classical problems: the rigid strip and rigid disc footings on a visco‐elastic half‐space with constant hysteretic material damping. As the domain size is increased, the results become more accurate only at lower frequencies, but are essentially unaffected at higher frequencies. Choosing the domain size to ensure that the static stiffness is computed accurately leads to an unnecessarily large domain for analysis at higher frequencies. The results improve by increasing artificial damping but at a slower rate as the total (material plus artificial) damping ratio ζ_t gets closer to 0.866. However, the results do not deteriorate significantly for the larger amounts of artificial damping, suggesting that ζ_t≈0.6 is appropriate; a larger value is not likely to influence the accuracy of results. Presented results do not support the earlier suggestion that similar accuracy can be achieved by a large bounded domain with small damping or by a small domain with larger damping. Copyright © 2002 John Wiley & Sons, Ltd.     

甘肃桦树沟(铁)铜矿床的成因机制

矿床地质地球化学特征研究结果表明，随着古陆边缘弧－槽－盆体系的发生与发展，元古代基底火山（沉积）岩系经深循环水（海水）－热系统的作用，成矿物质被浸出和搬运，并经海底喷溢作用沉淀于海盆洼地中形成桦树沟矿床含铜建造，后期变质作用使成矿物质活化、转移和富集。桦树沟矿床为喷气（流）沉积－变质改造型（铁）铜矿床。     

四川甲基卡锂矿伟晶岩转石分布区“3定2参”大比例尺填图法及其在青藏高原应用的意义

我国西部地区无论是新疆阿尔泰还是地处青藏高原的西昆仑地区或是松潘-甘孜成矿带,都是我国伟晶岩型矿床找矿远景区,但要么剥蚀严重,要么第四系覆盖,难以找到好的地质露头。本文以地处青藏高原东南缘的川西甲基卡矿田为例,通过近10年来的实践,探索出一套在第四系覆盖严重但又有伟晶岩转石分布地区的填图找矿方法——"3定2参"1∶2000伟晶岩转石填图法,即:定伟晶岩转石类型、尺度、密度,参考矿区内伟晶岩脉产状和地形条件。实践证明,该方法能够快速有效识别伟晶岩转石类型(冰碛物、坡积物和原地或半原地型),并可进一步确定第四系覆盖区内伟晶岩脉的类型、产状及规模,为钻探工程部署提供依据。2019年在甲基卡经8个钻孔验证,在日西柯第四系覆盖区内发现16条花岗伟晶岩脉,其中锂辉石伟晶岩脉10条,实现了新的找矿突破。这一方法同样在可尔因矿集区适用,并指导2019年"松潘-甘孜成锂带锂铍多金属大型资源基地综合调查评价"项目在上述两个地区实施钻探验证,初步探获新增氧化锂资源量超过15万吨,值得进一步推广应用。     

中国东部新生代火山岩的地质特征及火山作用发育的某些共同规律

中国东部从黑龙江到海南岛的广大范围内新生代玄武岩广泛发育。根据构造关系笔者把本区划分为三个部分：北、中和南构造地块。新生代火山作用在时空上表现出明显的分带。从老到新，火山作用演化的特点是ＳｉＯ２饱和程度减少，碱金属和镁含量增加。从南构造地块到北构造地块出现的玄武岩各具特色。从东南沿海向西北方向，即从东南沿海断裂经长白山－郯庐断裂到大兴安岭－太行山断裂方向，是地壳厚度增加的方向，新生代火山活动的演化     

Simulation of the full two rigid body problem using polyhedral mutual potential and potential derivatives approach

Herein we investigate the coupled orbital and rotational dynamics of two rigid bodies modelled as polyhedra, under the influence of their mutual gravitational potential. The bodies may possess any arbitrary shape and mass distribution. A method of calculating the mutual potential’s derivatives with respect to relative position and attitude is derived. Relative equations of motion for the two body system are presented and an implementation of the equations of motion with the potential gradients approach is described. Results obtained with this dynamic simulation software package are presented for multiple cases to validate the approach and illustrate its utility. This simulation capability is useful both for addressing questions in dynamical astronomy and for enabling spacecraft missions to binary asteroid systems.     

复杂断层网络环境下地下洞室群三维地质分析与应用

断层构造是制约地下工程设计与施工的关键因素。综合考虑复杂地质构造与地下洞室群结构的耦合关系,采用三维地质建模方法建立实现了地层体、断层体与地下洞室群结构的统一模型。基于三维模型提出了断层复杂度的概念,为水利水电工程地下厂房洞室群的选址方案分析提供了一种新的手段。针对地下围岩稳定性问题,提出基于断层与断层、断层与开挖面相互切割的曲面块体识别方法,搜索地下厂房洞室群内可能的失稳区域。上述方法已成功应用在某水电工程地下厂房洞室群分析中,在设计方案优化分析中取得了良好的效果。