Dynamics of a satellite orbiting a planet with an inhomogeneous gravitational field

We study the dynamics of a satellite (artificial or natural) orbiting an Earth-like planet at low altitude from an analytical point of view. The perturbation considered takes into account the gravity attraction of the planet and in particular it is caused by its inhomogeneous potential. We begin by truncating the equations of motion at second order, that is, incorporating the zonal and the tesseral harmonics up to order two. The system is formulated as an autonomous Hamiltonian and has three degrees of freedom. After three successive Lie transformations, the system is normalised with respect to two angular co-ordinates up to order five in a suitable small parameter given by the quotient between the angular velocity of the planet and the mean motion of the satellite. Our treatment is free of power expansions of the eccentricity and of truncated Fourier series in the anomalies. Once these transformations are performed, the truncated Hamiltonian defines a system of one degree of freedom which is rewritten as a function of two variables which generate a phase space which takes into account all of the symmetries of the problem. Next an analysis of the system is achieved obtaining up to six relative equilibria and three types of bifurcations. The connection with the original system is established concluding the existence of various families of invariant 3-tori of it, as well as quasiperiodic and periodic trajectories. This is achieved by using KAM theory techniques.     

Stability Design System of Submarine Pipelines

This paper introduces a stability design system of submarine pipelines. The system can provide a reasonable design procedure for users with reference to domestic and foreign methods and in the light of home engineering experience.     

The Non-Linear Stability of L4 in the Restricted Three-Body Problem when the Bigger Primary is a Triaxial Rigid Body

The non-linear stability of L ₄ in the restricted three-body problem has been studied when the bigger primary is a triaxial rigid body with its equatorial plane coincident with the plane of motion. It is found that L ₄ is stable in the range of linear stability except for three mass ratios:

Chlorophyll production,in response to nutrient additions,by the algae in Lake Taupo water

In batch cultures of Lake Taupo water, phosphorus was the nutrient limiting plant growth from January to June, and nitrogen took over this role from July to December. Chlorophyll production by algae was often stimulated by trace element additions, but it was uncertain whether total cytoplasmic production was also involved.     

蓝隐藻藻蓝蛋白结构与功能稳定性研究

以蓝隐藻(Chroomonas placiodea)藻蓝蛋白 PC-645为材料,通过改变环境 pH 和尿素质量浓度,监测其变性和复性过程中特征荧光谱和吸收谱的动力学变化,以期了解隐藻藻蓝蛋白的色基和蛋白结构稳定性及其与功能的关系。结果表明, PC-645在很宽的 pH 范围和一定质量浓度的尿素中维持结构和功能的稳定,空间结构具有很强的柔性。pH诱导的 PC-645蛋白构象与功能变化可分为3个不同的区段。(1)稳定区(pH 3.5~7)：吸收和荧光光谱都比较稳定,显示蛋白质构象和功能在此区域都保持正常。(2)次稳定区(pH 7~10)：光吸收依然保持平稳,亚基内部的色基的状态和疏水微环境都没有改变,但荧光传递效率降低,可能是由亚基表面局部构象变化、解离(四级结构变化)或者色素基团间的空间距离变化引起。(3)不稳定区(pH<3.5和 pH>10),吸光度和荧光强度都呈快速下降,色基在近紫外和可见光区的吸收峰位变动,蛋白构象处于快速崩溃期。PC-645在酸性条件下的稳定性高于在碱性环境下,是与隐藻藻蓝蛋白所处的特殊环境及生理功能相适应的。     

基于微地貌特征的西太平洋菲律宾海海底稳定性评价

随着海洋战略地位的逐步提高,深远海海底资源开发和海洋工程建设将面临巨大挑战,主要是受限于技术手段,高精度调查资料难以获取,无法全面准确地进行海底稳定性评价。针对这一问题,本文提出了基于微地貌特征的深远海海底稳定性评价方法。基于已有的研究工作,本文选取西太平洋菲律宾海中南部某区域为研究区,利用ArcGIS平台建立研究区DEM（Digital Elevation Model）,提取宏、微观地貌因子,结合全球地震数据、研究区底质类型和潜在地质灾害分布特征,运用模糊数学方法评价研究区海底稳定性,并绘制海底稳定性区划图。结果显示,对区域3220个评价单元进行稳定性分析,可将研究区海底稳定性划分为5个等级,包括基本稳定、较稳定、中等稳定、较不稳定和不稳定。其中,稳定区主要集中在较为平坦的中北部,不稳定区多发育在九州-帕劳海岭、海山、山间盆地等大规模地貌单元发育区,分析揭示,研究区海底稳定性与微地貌特征密切相关。因此,本文提出的基于微地貌特征的海底稳定性评价方法,能够很好地服务于深远海海底稳定性评价。     

Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization

For tunnel constructed by New Austrian Tunnelling Method, the crown is the upper part of tunnel section, constructed during excavation process and supported by shotcrete. The stability of the crown has great influence on the safety of tunnel itself and the buildings above, which correlates, among others, with geometrical setup of tunnel and material properties of shotcrete and soil/rock. In this paper, aiming at analyzing the stability of shotcrete supported crown, a recently presented numerical method discontinuity layout optimization is adopted, which introduces a great amount of potential discontinuities cross over one another and provides a wide search space for efficient upper limit analysis. In the analysis, a well‐established hydration model of cementitious material is implemented for accounting the hydration of shotcrete. Then assumptions based on convergence‐confinement method are used for accounting the 3‐dimensional effect in 2‐dimensional analysis, finally providing time‐space–dependent assessments of stability of shotcrete supported crown.     

基于MPGA的复杂应力状态边坡稳定性分析

极限平衡法在边坡稳定性分析中处于主导地位,该算法通常建立在一定的假设之上,没有考虑边坡土体的非线性应力-应变关系,不能用于未达到极限状态以及加固后边坡的稳定性分析。为了解决以上问题,将有限元计算与多种群遗传算法（MPGA）相结合,建立一种基于MPGA的复杂应力状态边坡稳定性分析通用模型,通过数值应力场求解安全系数,并为多种群遗传算法构建适应度函数;再利用多种群遗传算法为安全系数的计算提供滑移面。为了保证分析的高效、合理,根据滑移面发展趋势,动态产生初始滑移面,并增加一个滑移面约束条件。最后,通过均质边坡和软弱夹层边坡两个典型算例分析验证了该方法的合理性;通过分析土钉加固的软弱夹层边坡,证明了该方法可用于加固等复杂应力状态边坡的稳定性分析。     

基于强度折减法的多级边坡稳定性分析

结合工程算例,采用强度折减有限元法,对边坡治理前后的稳定性进行了分析。结果表明,有限元强度折减法能更加直观的得到坡体的实际破坏形式,求得的边坡稳定系数更接近边坡的实际稳定状态,显示出其在边坡稳定性分析中的一定优势。     

重庆市开-利公路学堂湾滑坡成因与稳定性分析

滑坡是现代公路、铁路等交通基建工程面临的一个难题。尤其是在重丘、山地等地段修筑公路工程极易出现滑坡地质灾害。这些滑坡的成因以及相关的边坡稳定性分析目前处于半理论、半经验状态。文章基于学堂湾滑坡的地理位置及地质环境条件,从滑坡区地质环境条件、滑坡周界、滑坡体与滑带的物质结构特征、滑床、滑坡变形破坏迹象等,深入分析了学堂湾滑坡的变形特征。在此基础上探讨了滑坡成因,指出大量的雨水和不合理的施工扰动是滑坡发育的外因;坡体本身的地质条件如岩石的裂隙、岩土体的透水性以及水的疏导条件等是其内因。文章将宏观定性分析与定量计算相结合,对滑坡稳定性进行了分析和评价。结合工程实际对滑坡治理措施进行了初步研究,取得了一些满意的效果。