Plane Elasticity and Dislocation of One-Dimensional Hexagonal Quasicrystals with Point Group 6

Plane elasticity theory of one-dimensional hexagonal quasicrystals with point group 6 is proposed and established. As an application of this theory, one typical example of dislocation problem in the quasicrystals is investigated and its exact analytic solution is presented. The result obtained indicates that the stress components of (elastic) fields of a straight dislocation in the quasicrystals still first order singularity, which is the same as the (general crystals,) but are related with the Burgers vector of phason fields, which is different from the general (crystals.)

Amplification of in-plane seismic ground motion by group cavities in layered half-space (Ⅱ): with saturated poroelastic soil layers

As the continuation study on amplification of in-plane seismic ground motion by underground group cavities in layered half-space, this study extends to the case of poroelastic half-space with dry poroelastic and saturated poroelastic soil layers. The influence of poroelastic layers on the amplification of seismic ground motion is studied both in frequency domain and time domain using indirect boundary element method （IBEM）. It is shown that for the example of a saturated poroelastic site in Tianjin under the excitation of Taft wave and E1 Centro wave, the amplification of seismic ground motion in poroelastic case is slightly smaller than that in the elastic case, and the amplification of PGA （peak ground acceleration） and its PRS （peak response spectrum）.. can be increased up to 38.8% and 64.6%; the predominant period of response spectra in poroelastic case becomes shorter to some extent compared with that in the elastic case. It is suggested that the effect of underground group cavities in poroelastic half-space on design seismic ground motion should be considered.

Amplification of in-plane seismic ground motion by group cavities in layered half-space (Ⅰ)

Amplification of in-plane seismic ground motion by underground group cavities in layered half-space is studied both in frequency domain and time domain by using indirect boundary element method （IBEM）, and the effect of cavity interval and spectrum of incident waves on the amplification are studied by numerical examples. It is shown that there may be large interaction between cavities, and group cavities with certain intervals may have significant amplification to seismic ground motion. The amplification of PGA （peak ground acceleration） and its PRS （peak response spectrum） can be increased up to 45.2% and 84.4%, for an example site in Tianjin, under the excitation of Taft wave and E1 Centro wave; and group cavities may also affect the spectra of the seismic ground motion. It is suggested that the effect of underground group cavities on design seismic ground motion should be considered.

Group—Invariant Solutions in Plane Curve Motions

Group-invariant solutions to certain plane curve motions in Euclidean and centro-affine geometries areobtained. The behavior of some solutions is also presented.

AN UNCERTAINTY PRINCIPLE ON THE GROUP OF RIGID MOTIONS OF THE PLANE

Let M(2)be the group of rigid motions of the plane.The Fourier transform and the Piancherel formula on M(2)can be explicitly given by the general group representation theory.Using this fact.we establish a kind of uncertainty principle on M(2).The result can easily be generalized to higher dimensional cases.An application of the result yields an uncertainty principle on the Euclidean spaces obtained by R.S.Strichartz.

A series solution for surface motion amplification due to underground group cavities:Incident P waves

A series solution for surface motion amplification due to underground group cavities for incident plane P waves is derived by Fourier-Bessel series expansion method. It is shown that underground group cavities significantly am-plify the surface ground motion nearby. It is suggested that the effect of subways on ground motion should be con-sidered when the subways are planned and designed.

Dragload and Downdrag Performances of Inclined Pile Group Embedded in Consolidating Soil

The performance of inclined pile group embedded in consolidating soil under surcharge load was investigated by experiment in comparison with vertical pile group and single pile under the same conditions; dragload, downdrag, and layered soil settlement were measured. A three-dimensional numerical model was built via FLAC3D software, and verified by the experimental results. Influence factors, such as consolidation time, pile spacing, and pile tilt angle were analyzed. The results show that dragload of inclined pile group increases with the increase of consolidation time and pile spacing or the decrease of pile tilt angle. Downdrag of inclined pile group increases with the increase of consolidation time, pile spacing and pile tilt angle.

Frenet Curve Couples in Three Dimensional Lie Groups

In this study,we examine the possible relations between the Frenet planes of any given two curves in three dimensional Lie groups with left invariant metrics.We explain these possible relations in nine cases and then introduce the conditions that must be met to coincide with the planes of these curves in nine theorems.

Ermakov System and Plane Curve Motions in Affine Geometries

It is shown that the Pinney equation, Ermakov systems, and their higher-order generalizations describeself-similar solutions of plane curve motions in centro-affine and affine geometries.

A NOTE ON THE COORDINATIZATION OF EUCLIDEAN PLANE WITHOUT CONTINUITY

In this note we discuss the coordinatization of Euclidean plane without continuity, this method is based on the results in the papers [3] and [4].

鹈鹕优化算法在岩体结构面分组中的应用

结构面广泛分布于岩体之中,难以逐一进行分析。现有研究方法存在对初始信息敏感,分组结果可靠性差,以及难以准确对产状相近的结构面进行分组等不足。针对上述问题,提出了一种基于鹈鹕优化算法(POA)的岩体结构面分组方法。首先,利用POA算法全局寻优初始聚类中心,结合模糊C均值算法(FCM)将结构面产状数据进行完全分组。其次,利用蒙特卡罗模拟技术,生成符合Fisher分布的产状数据。最后,基于正交设计,对比传统FCM算法,以识别错误率为指标,研究了新算法在不同结构面数量、结构面组数、聚类中心、离散度情况下分组精度的变化规律。结果表明:聚类中心对分组精度具有显著影响;所提方法能对产状极点边界不清晰的结构面数据进行有效分组,可有效提高分组精度和分组结果的可靠性。以大连某水库边坡结构面数据为基础,对其进行分组处理,验证了新方法的工程实用性。研究结果可以为结构面三维网络计算机模拟和岩体工程稳定性分析提供依据。

A Direct Method of Moving Planes to Fractional Power Sub Laplace Equations on the Heisenberg Group

We give the direct method of moving planes for solutions to the conformally invariant fractional power sub Laplace equation on the Heisenberg group.The method is based on four maximum principles derived here.Then symmetry and nonexistence of positive cylindrical solutions are proved.

基于随机有限集的中段弹道目标群星载红外像平面跟踪方法

弹道目标进入中段飞行时释放弹头及大量诱饵形成密集目标群,对星载红外像平面的目标跟踪提出新的挑战.针对像平面对目标群各目标分辨个数的时变性,及各目标像平面轨迹非线性程度强的特点,提出基于随机有限集的目标群像平面跟踪方法.随机有限集为最优贝叶斯多目标跟踪提供统一的理论基础,但直接递推多目标后验分布计算量大,概率假设密度为多目标后验概率分布的一阶矩,在随机有限集框架下递推概率假设密度为现实可行的次优多目标跟踪方法.采用序贯蒙特卡罗方法实现多目标概率假设密度递推跟踪滤波,计算所有粒子权值之和估计目标数目,以k-m eans方法对粒子集进行聚类提取各目标的状态;最后构建天基光学星座对中段弹道目标群的跟踪仿真场景,在不同交接跟踪任务、虚警率和目标个数条件下进行对比分析和仿真验证.结果表明,该方法能同时跟踪星载红外像平面上动态变化目标群各目标的状态和数目.

湘鄂西地区寒武系娄山关组古岩溶储层及其发育控制因素

为了掌握湘鄂西地区寒武系娄山关组储层发育特征及其控制因素,通过典型露头调查、岩溶充填物地球化学测试、岩石薄片鉴定及物性测试等,对该储层进行了多方位研究,得出以下结论:(1)储层岩性以白云岩为主,属孔洞—裂缝型储层,储集空间主要表现为溶蚀孔洞、晶间孔隙、粒间溶孔、裂溶缝等;(2)储层溶蚀作用不受岩石组构控制,属于非组构选择性溶蚀,溶蚀孔洞多沿层面发育,分布大都在不整合面以下约20m范围内,而且随着深度的增大,孔洞丰度也越小;(3)娄关山组上部地层不整合面不仅是油气运移的良好通道,同时也是有机质生烃聚集成藏的有利场所;(4)储层的发育主要受地质构造、气候环境及地层岩性控制;不整合面及多期次的构造裂缝,为溶蚀孔洞发育创造了很好的条件,但由于沉积间断期气候炎热和较干旱,地表水不是非常丰富,大气淡水淋滤作用较弱,而且储层岩性本身主要为粉、细晶白云岩,不大有利于水岩作用,因而储层不具备形成大中型岩溶缝洞系统的环境物质条件;(5)尽管储层未能形成有规模的古岩溶缝洞系统,但由于其溶蚀孔洞发育并有古化壳存在,因此它仍是中上扬子海相下组合油气勘探中重要的储层之一。

企业集团制造资源计划中的供应链管理

以企业集团为对象，根据其管理特点，讨论其供应链的建立、平衡与配置。将作业成本法和多阶段生产平衡模型引入企业集团的供应链管理，从总体优化的观点建立企业集团供应链的平衡与配置模型。

地下洞室群对地面运动的影响

研究了平面SV波入射下半空间中洞室群对地面运动的影响 ,数值结果表明 ,地下洞室群对沿线地面运动具有显著的放大作用 ,该放大作用可达无洞室情况的 1 5～ 8 8倍以上 ,地表位移幅值的最大值出现在波 45°入射情况并位于与入射波相对的区域。

地下洞室群对地面运动影响问题的级数解答——P波入射

采用波函数展开法 ,给出了平面P波入射下半空间中洞室群对地面运动影响问题的一个级数解答 .数值结果表明 ,地下洞室群对附近地面运动具有显著的放大作用 .建议地铁等地下工程在规划和设计时 ,考虑工程建设后对沿线地面运动的影响 .

一种基于平面对称群的对称图案生成方法

织物图案中包含着各类蜿蜒曲线、规则与不规则的复杂元素。虽然剪纸图案和分形图案的生成方法已有大量研究工作,但是面向新疆织物图案特点的计算机自动生成方法仍然存在许多挑战性难题。针对新疆织物图案风格化建模难度大的问题,提出图案对称性作为图案生成关键指标,构造循环群和二面体群等变映射与不变映射,研究图案对称性的表征方式,利用对称图案探讨群的映射空间与对称图形之间的关联。通过群映射的仿真实验,绘制混沌吸引子得到群对称图案,有效提高图案的对称性,丰富织物图案的花型设计。

平面P波入射下地下洞室群动应力集中问题解析解

采用波函数展开法给出了半空间中洞室群在平面P波入射下动应力集中问题的一个解析解,数值结果表明,当洞室之间距离较近时,洞室之间的相互作用对地下洞室群的动应力集中具有显著的放大作用,动应力集中系数可能达到单个洞室的3.5倍以上,动应力集中系数峰值位于两个洞室相对的区域。

地下洞室群对地面运动影响问题的级数解答:SH波入射

采用波函数展开法给出平面SH波入射下半空间中洞室群对地面运动影响问题的一个级数解答,并分析了入射波频率和入射角以及两洞室之间距离等参数对地面运动的影响。数值结果表明,地下洞室群对沿线地面运动具有显著的放大作用:两个洞室情况地面运动可以达到单个洞室情况的1.6倍、无洞室情况的3.5倍以上。建议地铁等地下工程在设计和规划时应考虑工程建设后对沿线设计地震动的影响。