完备格上的表现定理及其应用

在完备格的条件下讨论了Ｌ集合套的性质,给出了表现定理,最后指出了表现定理在ＬＦ代数理论中的应用。     

Critical response of structures to multicomponent earthquake excitation

This paper aims to develop an improved understanding of the critical response of structures to multicomponent seismic motion characterized by three uncorrelated components that are defined along its principal axes: two horizontal and the vertical component. An explicit formula, convenient for code applications, has been derived to calculate the critical value of structural response to the two principal horizontal components acting along any incident angle with respect to the structural axes, and the vertical component of ground motion. The critical response is defined as the largest value of response for all possible incident angles. The ratio r_cr/r_srss between the critical value of response and the SRSS response—corresponding to the principal components of ground acceleration applied along the structure axes—is shown to depend on three dimensionless parameters: the spectrum intensity ratio γ between the two principal components of horizontal ground motion characterized by design spectra A(T_n) and γA(T_n); the correlation coefficient α of responses r_x and r_y due to design spectrum A(T_n) applied in the x‐ and y‐directions, respectively; and β = r_y/r_x. It is demonstrated that the ratio r_cr/r_srss is bounded by 1 and . Thus the largest value of the ratio is , 1.26, 1.13 and 1.08 for γ = 0, 0.5, 0.75 and 0.85, respectively. This implies that the critical response never exceeds times the result of the SRSS analysis, and this ratio is about 1.13 for typical values of γ, say 0.75. The correlation coefficient α depends on the structural properties but is always bounded between −1 and 1. For a fixed value of γ, the ratio r_cr/r_srss is largest if β = 1 and α = ±1. The parametric variations presented for one‐storey buildings indicate that this condition can be satisfied by axial forces in columns of symmetric‐plan buildings or can be approximated by lateral displacements in resisting elements of unsymmetrical‐plan buildings. Copyright © 2000 John Wiley & Sons, Ltd.     

大气海洋环境数值模拟中的若干计算问题

为了适应发展气候数值模拟和环境数值模拟的需要,综合介绍了与此密切有关的若干计算问题。首先,指出这类问题易于出现计算紊乱、非物理解和非线性计算不稳定,同时,简要介绍造成这些问题出现的三种机理：虚假频散、能量关系破坏和能谱的非线性转移。然后,把这类问题归结为一种“发展方程”,给出了与此有关的几个定理,阐述了计算稳定性、能量守恒性和算子非负性之间的密切关系。接着,分别介绍了多种完全平方守恒的差分格式的构造方法,其中包括隐式的和显式的完全平方守恒的差分格式,高时间精度和高阶紧致的完全平方守恒的差分格式,同时也给出若干具体算例说明这些格式的计算效果。最后,对全文作了小结,并指出今后应进一步研究的若干重要问题。     

基于投入产出方法的气象服务综合经济效益评估

如何评估气象服务带来的综合经济效益,一直是人们关注的重点和难点.以投入产出表的分配系数、消耗系数和列昂捷夫逆矩阵为核心,提出了关联经济效益、间接经济效益和完全经济效益的概念和算法,并以深圳市2012年的气象服务为例对方法进行验证,得到了一系列富于启示意义的结论.如:1)由于产业经济系统内部的关联性,气象服务带来的关联经济效益、间接经济效益和完全经济效益值较大,应引起全社会的关注和重视;2)深圳市气象服务的投入与完全经济效益比值区间约为1:134.34~1:228.378,远大于以往研究1:30~1:51的结果;3)传统的气象服务对象如农林牧渔业、建筑业等带来服务经济效益偏低,未来应重视向研究与试验发展业,综合技术服务业,租赁和商务服务业,居民服务和其他服务业,信息传输、计算机服务和软件业等服务产业提供气象服务,提高气象服务给社会带来的综合经济效益.     

半周期自修正防弯钻具在易斜地层中的应用

对于司家营铁矿岩层结构完整、岩石可钻性高的特点,施工中深孔岩心钻探勘查,控制钻孔弯曲度超差属于钻探技术难题,更是确保钻孔质量的关键,自2009年施工至今已施工中深孔30个左右,其中三分之二的钻孔因孔斜超差严重均被降级使用,使得地质技术人员头痛,更让钻探技术人员棘手。在钻探施工过程中,曾因个别钻孔发生孔内事故,采取螺杆造斜和下偏心楔子造斜绕过事故钻具均未成功。地层岩石完整且硬,钻孔纠斜、造斜无法实现,解决中深孔钻孔弯曲超差,严重成为该矿区亟待解决的技术难题,解决不好就严重影响该矿区“攻深找盲”目标的实现;2018年该矿区深部续作设计钻孔孔深1500 m,为避免类似影响钻孔质量现象发生,在采取常规的钻孔防斜技术措施以外,采用“S75 mm半周期自修正防弯钻具（XBZX）”试验解决司家营铁矿中深孔弯曲超差严重技术难题;通过同勘探线2015年施工钻孔比较,取得了一定效果,为解决司家营铁矿中深孔钻孔弯曲超差严重技术难题提供了技术保障,为同类型矿区施工中深孔防止钻孔弯曲超差提供实践经验和施工技术。     

t模糊等价关系与t模糊商空间

给出t模糊等价关系及相应的t模糊商空间的定义,讨论其性质,证明了全体t模糊等价关系与t模糊知识基的集合构成同构的完备格。     

化学物相分析在物料成分全分析数据处理中的应用

讨论了化学物相分析在物料成分全分析数据加合平衡计算中的作用。根据对不同类型、不同共生组合且具有代表性的物料成分全分析数据平衡计算过程中所推荐的计算程序和计算结果,介绍了化学物相分析在物料成分全分析数据处理中的实际应用。同时阐述了具体应用对象、应用规则、应用模式以及应用过程中需要注意的问题等。     

Cs2NaMF6(M＝Al,Ga):Cr3+ 络合分子体系局域结构和基态分裂的理论研究

采用双自旋轨道耦合系数模型并结合完全能量矩阵的方法对Cs₂NaMF₆(M=Al, Ga):Cr³⁺ 体系中Cr³⁺ 离子的基态分裂和局域结构进行了研究.通过模拟光谱和EPR谱确定了Cr³⁺ 取代 M³⁺ 形成的两种占位结构的畸变角,发现用双自旋轨道耦合系数模型与单自旋轨道耦合系数模型计算出的畸变角Δθ存在较大的差异.这表     

Dynamic Characteristics of Granite Subjected to Intermediate Loading Rate

Summary A large diameter split Hopkinson pressure bar (SHPB) has been developed. This equipment is briefly described, together with a shaped striker that initiates a half-sine incident waveform to obtain the complete stress-strain relationship of the Bukit Timah granite at medium strain rate. Good constant strain rate was derived, and the dynamic complete stress-strain curves and energy absorption of the granite were measured at a strain rate between 20 and 60 per second. Repeated impact between 60–90% of the static strength of the granite was also conducted. Results from the tests show that the cumulative damage of the granite depends on the peak stress of the dynamic loads with a fixed duration. The dynamic fracture strength of the granite loaded at medium strain rate is directly proportional to the cube root of the strain rate. For the granite loaded at this strain rate, Youngs modulus is unchanged. Energy absorption of the samples loading to fragmentation determined its fragmented size distribution. At high strain rate, the rock possesses large energy absorption and the particle size of the fragments is much smaller.     

基于完全三叉树的快速推进法地震波走时计算

快速推进法(简称FMM)在地震波走时计算中有着精度高、效率高的特点,但窄带扩展每次都要寻找最小走时。当网格节点较多时,寻找最小走时非常耗时。在保证精度的前提下,为了提高计算效率,笔者对堆排序的排序方式做了改进,将完全三叉树排序方法引入到快速推进法地震波走时计算中。模型试算结果表明,基于完全三叉树快速推进法计算出的地震波走时与用完全二叉树方法的精度一致,且前者比后者效率提高约10%。