Horseshoes and nonintegrability in the restricted case of a spinless axisymmetric rigid body in a central gravitational field

The purpose of this paper is to study the motion of a spinless axisymmetric rigid body in a Newtonian field when we suppose the motion of the center of mass of the rigid body is on a Keplerian orbit. In this case the system can be reduced to a Hamiltonian system with configuration space of a two-dimensional sphere. We prove that the restricted planar motion is analytical nonintegrable and we find horseshoes due to the eccentricity of the orbit. In the caseI ₃/I ₁>4/3, we prove that the system on the sphere is also analytical nonintegrable.On leave from the Polytechnic Institute of Bucharest, Romania.     

Underground geotechnical and geological investigations at Ekati Mine–Koala North: case study

Since 1998, BHP Billiton has mined diamonds at the Ekati Diamond Mine™ near Lac de Gras in the Northwest Territories of Canada. Current operations are based on mining multiple pipes by the open-pit method, but as some pits deepen, converting to underground mining is being considered.

As a test of underground mining methods and to provide access to the lower elevations of the Panda and Koala pipes, the Koala North pipe is being developed for underground mining. Initially, the top 40 m of the pipe were mined as an open pit to provide grade information and a prepared surface for the transition to underground mining. Currently, Koala North is being developed as an open-benching, mechanized, trackless operation. Although the method was successfully used at several De Beers diamond operations in South Africa, it has never been tested in an Arctic environment.

This case study describes basic geology, mining method layout and ongoing geological and geotechnical investigation. From the beginning of underground development, geotechnical daily routines have been fully integrated within the technical services department, which supports the operation. Geotechnical, geological and structural information obtained from underground mapping and core logging is compiled, processed, reviewed and analyzed on site by the geotechnical staff. Conclusions and recommendations are implemented as part of the operations in a timely manner. This ongoing “live” process enables the operators to make the most efficient use of resources both for ground support and excavations as well as to address safety issues, which are the top priority.     

集成地质、力学信息和监测数据的滑坡动态模型

首先假设边坡滑坡体为刚体，建立边坡滑坡的动态模型，由此建立卡尔曼滤波的系统方程。边坡的力学状态通过卡尔曼滤波与边坡变形观测的数据联系起来了。模型的不确定性(模型误差)是通过建立的虚拟观测方程来考虑的。与已有的方法不同的是，所建立的方法不仅利用包含在观测中的统计信息，而且能利用边坡滑坡的有关力学状态和地质条件所提供的信息。最后，以一实例论证方法的可行性。     

Dynamic analysis of stacked rigid blocks

The dynamic behavior of a structural model of two stacked rigid blocks subjected to ground excitation is examined. Assuming no sliding, the rocking response of the system standing free on a rigid foundation is investigated. The derivation of the equations of motion accounts for the consecutive transition from one pattern of motion to another, each being governed by a set of highly nonlinear differential equations. The system behavior is described in terms of four possible patterns of response and impact between either the two blocks or the base block and the ground. The equations governing the rocking response of the system to horizontal and vertical ground accelerations are derived for each pattern, and an impact model is developed by conservation of angular momentum considerations. Numerical results are obtained by developing an ad hoc computational scheme that is capable of determining the response of the system under an arbitrary base excitation. This feature is demonstrated by using accelerograms from the Northridge, CA, 1994, earthquake. It is hoped that the two-blocks model used herein can facilitate the development of more sophisticated multi-block structural models.     

Seismic isolation of rigid cylindrical tanks using friction pendulum bearings

Storage tanks are vulnerable to earthquakes, as numerous major earthquakes have demonstrated. The trend of recent revisions to make seismic design criteria for large‐scale industrial storage tanks increasingly stringent has made development of cost‐effective earthquake‐resistant design and retrofit techniques for industrial tanks imperative. This study assesses the feasibility of seismic base isolation for making liquid‐filled storage tanks earthquake resistant. The sliding‐type friction pendulum seismic (FPS) bearings are considered rather than the elastomeric bearings because the dynamic characteristics of an FPS‐isolated tank remain unchanged regardless of the storage level. This work has devised a hybrid structural‐hydrodynamic model and solution algorithm, which would permit simple, accurate and efficient assessment of the seismic response of rigid cylindrical storage tanks in the context of seismic isolation. Extensive numerical simulations confirm the effectiveness of seismic base isolation of rigid cylindrical tanks using FPS bearings. Copyright © 2001 John Wiley & Sons, Ltd.     

基础动力刚度的精确数值解及集中参数模型

土－结构相互作用分析的关键是建立以土－结构界面定义的无限半空间的动力刚度矩阵。本文介绍了一种求解半无限地基动力刚度的新方法，通过两个算例验证了该方法的精度，并给出了一种利用频域刚性基础动力刚度计算基础时域荷载响应的实用方法，该研究为刚性基础设计提供了一种新的，可靠的理论方法。     

地下管线综合探测技术在道路改造中的应用

以东莞市科技大道改造工程地下管线探测结果为例,论述了采用多种地球物理方法在复杂地区进行综合地下管线探测的技术,表明在道路改造的前期工作中,采用物探手段查明地下管线分布情况,对于保障施工安全非常重要。     

加筋土堤表层壁体效果的评价

用水平加筋材料加固土堤时，常常在表层设置一列土袋用于施工中临时挡土及固定水平加筋材料，该到土袋形成一表层壁体，对土堤整体稳定有着很大作用，介绍了考虑表层壁体对加筋土堤的整体稳定作用的方法。该方法分为两个步骤来验算土堤的最小安全系数；其一是将表层一列土袋假想成一刚性壁体，该假想刚性壁体作为一薄壁挡墙作用于后面的补强土堤上；其二是对设有土袋的区域，稳定计算中考虑由于土袋张力引起的附加粘聚力c。并重点说明了该附加粘聚力c的产生机理并给出试验验证结果。     

刚架护坡桩边坡支护技术

介绍了刚架护坡桩的概念、特性、实用计算方法、刚架护坡桩的施工和工程应用情况，并就刚架护坡桩与双排桩护坡的本质区别作了分析，供从事岩土工程设计、施工的人员参考。     

确定地下管线深度的方法原理研究

从理论上阐述了利用倾斜磁场最大值点、利用垂直磁场分量峰值点和利用水平磁场分量半极值点确定地下管线深度的原理方法,指出了利用倾斜磁场最大值点确定管线深度时在原理上存在的问题和不实用性,同时从原理上和实用中筛选出了最佳的定深方法-水平磁场分量三角法.