ON GENERALIZED BUFFON NEEDLE PROBLEM FOR LATTICES

Two new concepts, the generalized support function and restricted chord function, both referring to a convex set, were introduced in [1]. General formulae to yield the kinematic measure of a segment of fixed length in a convex set were established based on these concepts. In this article , using the partial intersection method, we consider the generalized Buffon problem for three kinds of lattices. We determine the probability of intersection of a body test needle of length l, l < a.     

First Data on 10Be in Recent Volcanics of the Kurile-Kamchatka Island Arc System in Relation to Sediment Subduction

Concentrations of ¹⁰ Be were measured in 23 lava samples representing historically and ¹⁴C dated eruptions of major Kurile and Kamchatka volcanoes. We report 2.2–7.9 · 10⁶ at/g of ¹⁰Be for Kuriles and in most cases less than 1.2 · 10⁶ at/g for Kamchatka. Thus Kurile segment of the Kurile-Kamchatka arc system features the same isotopic pattern as the Aleutians and some continental arcs like Central America and the Andes. The obtained results confirm previously drawn conclusion that the scale of sediment incorporation in Kurile magmas is not large thought the process itself is quite real.     

VR-tree索引结构的轨迹Stop区域快速发现

移动对象轨迹stop区域发现是轨迹数据分析的一个重要方面.提出基于VR-tree的轨迹stop区域快速发现方法.首先选择一条轨迹使用DBSCAN算法得到stop区域,把它们作为其他轨迹的stop区域候选,构建VR-tree;然后,对于剩余每条轨迹,先与VR-tree比较,找到与其中的stops相交的区域,标记轨迹包含在这些区域中的点,再对轨迹中其他点使用DBSCAN算法得到新的stops,并将它们作为其他轨迹的候选插入到VR-tree中.每条轨迹的stops由与VR-tree比较获得的stops和新stops区域按照区域覆盖率合并得到.实验使用真实数据集,证明本方法与基于密度的轨迹stop发现方法相比,不仅能很好发现轨迹stops,而且效率提高近60%.     

环绕声分离制式双子拾音区域定位研究

以环绕声分离式前方三声道拾音制式为模板,通过计算与数据分析对其两个子定位区域声像还原情况进行考察。证实了在该类拾音方式中,两个子定位区域有效拾音范围的部分重叠导致其声像定位不准确。针对此问题引入Williams的"平滑连接"理论,并确定将以其为主题进行后续的相关研究。     

基于突变理论深埋硬岩隧道的失稳分析

在分析隧道开挖引起围岩扰动和损伤的基础上,运用突变理论探讨了深埋硬岩隧道失稳的机理;基于势能原理,建立了深埋硬岩隧道失稳的尖点突变模型,导出了失稳的力学判据条件。结果表明:深埋硬岩隧道的失稳不仅受岩体特性及所受载荷的影响,而且与围岩中弹性区刚度和塑性区刚度的比值有关;开挖过程中,围岩受扰动和损伤程度越大,岩体完整性系数越小,力学参数指标弱化程度越高,塑性区范围越大,刚度比越小,围岩系统发生失稳的可能性就越大。工程实例分析表明,分析结果与实际经验基本一致;研究成果可为预防隧道失稳、采取合理的施工工艺和支护措施提供参考依据。     

Stress Independence of Poisson's Ratio and Divergence-Free Body Forces

In simply connected bodies, the compatibility conditions in 2D elasticity are independent of Poisson's ratio (and hence there is a reduction in the number of constants) for divergence-free body forces for the boundary-value problem of traction. It is shown that that for divergence-free body forces in two fields with different compliances and the same stress (hence, inducing a reduction in constants and independence of Poisson's ratio) the displacements differ by a field that is a solution for λ + 2μ = 0, where λ and μ are the Lamé constants for the elastic material, which is a constant rotation. Seen from another aspect, in a Cosserat spectral orthogonal and complete decomposition of the stress [12], the terms associated with Poisson's ratio in the stress representation have as coefficient the inner product of the body force with a displacement which is an eigenfunction at λ + 2μ = 0. This displacement is orthogonal to a divergence- free body force vector, which results in the vanishing of the coefficient of the Poisson's ratio dependence term in the orthogonal decomposition. Due to the completeness and orthogonality of the eigenfunctions, divergence-free body force is a necessary and sufficient condition for stress independence of Poisson's ratio in simply connected 2D bodies, while for multiply connected ones, the Michell generalized conditions also have to be satisfied, as shown here as well. Thus, both approaches, the CLM [1] theorem, which deals with reduction of constants, and the Cosserat spectral decomposition, which shows explicitly the material dependence of the solution, lead to the same conditions for stress independence of Poisson's ratio both for simply connected and multiply connected 2D bodies.     

BEHAVIOR OF OBSTRUCTED SQUARE BUOYANT VERTICAL JETS IN STATIC AMBIENT （Ⅱ）——ANALYSIS ON BEHAVIOR OF FLOW FIELD

Based on a series of numerical calculations, the behavior of flow field in obstructed square buoyant vertical jet is summarized and analyzed. Based on the axial line velocity distribution, the flow after the disc can be divided into three regions, i.e., recirculation region, transitional region and self-similar region The characteristic of self-similarity of upright velocity was validated. The three regions can also be distinguished based on the axial velocity. The axial velocity in self-similar region was found to obey the same law and the formula presented by introducing the velocity expression used by Chen and Rodi. The isolines of pressure on cross-sections of different heights were displayed and the production, expansion, breaking and disappearing of negative pressure regions were found.     

Numerical stability analysis and control of umbilical–ROV systems in one-degree-of-freedom taut–slack condition

In this paper, the stability of an umbilical–ROV system under nonlinear oscillations in heave motion is analyzed using numerical methods for the uncontrolled and controlled cases comparatively. Mainly the appearance of the so-called taut–slack phenomenon on the umbilical cable produced by interactions of monochromatic waves and an operated ROV is specially focused. Nonlinear elements were considered as nonlinear drag damping, bilinear restoring force and saturation of the actuators. Free-of-taut/slack stability regions are investigated in a space of physical bifurcation parameters involving a set of both operation and design parameters. They indicate a wide diversity in qualitative behaviors, both in the periodicity and possible routes to chaos from the stability regions to outside. For detection of periodicity of the nonlinear oscillations inside and outside the stability regions, a method based on Cauchy series is developed. The first part of the results is dedicated to the stability of the uncontrolled dynamics. These results suggest the design of a control system that is able to counteract hefty hauls of the cable during the sinking/lifting operation under perturbation. A combination of a force and cinematic controller based on nonlinear model–reference control is proposed. Through a comparative study of the stability regions for uncontrolled and controlled dynamics, it is shown that the control system can extend considerably these regions without appearance of the taut–slack phenomenon despite the presence of wave perturbations. The limits between the taut and taut–slack zones are defined by the wave steepness and the available energy of the actuators.