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本文关键词:三角形网格在水动力水环境数学模型中的应用,由笔耕文化传播整理发布。
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In this paper, the theory of using triangular radar to detect the metallic target is discussed, and the wavelet packet transform and its algorithm are also described in detail. 论述了用三角波雷达探测地下金属目标物的原理,介绍了小波包理论,给出了小波包特征提取的算法。 短句来源 The Experimental Study on Measurement Characteristics of High Concentrated Muddy Flow in Triangular Thin Plate Weir 高含沙浑水三角堰测流特性的研究 短句来源 Triangular Flume Method & and Its Empirical Formulas for Flow Measurement 三角槽测流方法及经验公式 短句来源 The Flow Measurement Performance of Triangular Profile Weirs in Trapezoidal Channels 梯形槽中三角剖面堰测流特性研究 短句来源 2-D Electrical Modeling Due to a Current Point by FEM with Variation of Conductivity within Each Triangular Element 三角单元部分电导率分块连续变化点源二维电场有限元数值模拟 短句来源 更多 Scattering of SH-Wave by Triangular Hill and Subsurface Cavity SH波对三角形凸起及其附近浅埋圆孔的散射 短句来源 Application of triangular mesh in mathematical models of hydrodynamic and hydro-environment field 三角形网格在水动力水环境数学模型中的应用 短句来源 (3)With both rectangular grid and triangular grid,two sets of finite-difference mathematical models of wave-induced nearshore current are set up. (3)建立了基于两种网格的两套数学模型,即三角形网格有限差分数学模型和矩形网格有限差分数学模型,基于这两种网格的数学模型能满足近岸波生流场的模拟需要。 短句来源 Modeling slip zones with triangular dislocaiton elements 用三角形位错元模拟滑动区 短句来源 Study of the Incipient Cavitation and Erosion on Surface Triangular Protrusions 三角形突体初生空化与空蚀的试验研究 短句来源 更多 2. As for antiplane response of triangular hill or structure, increasing the height of hill can be regarded as the increase of wave number η. 2.对于三角形地形或者结构,高度的增加可等效于提高入射波波数,从而使减小三角形的刚度,此时地表位移幅值更容易受影响。 短句来源 In triangular template representation, the two kinds of parameters and some lithologic lines obtained by analysing log data indicate regular lithologic distributions, which shows us different rock types. 用三角形的图板表示这两种参数组会与井资料所对应的岩性时,反映出岩性分区规律,可区分不同岩石类型。 短句来源 Scattering of SH-Wave by Triangular Hill and Subsurface Cavity SH波对三角形凸起及其附近浅埋圆孔的散射 短句来源 Application of triangular mesh in mathematical models of hydrodynamic and hydro-environment field 三角形网格在水动力水环境数学模型中的应用 短句来源 (3)With both rectangular grid and triangular grid,two sets of finite-difference mathematical models of wave-induced nearshore current are set up. (3)建立了基于两种网格的两套数学模型,即三角形网格有限差分数学模型和矩形网格有限差分数学模型,基于这两种网格的数学模型能满足近岸波生流场的模拟需要。 短句来源 Modeling slip zones with triangular dislocaiton elements 用三角形位错元模拟滑动区 短句来源 Study of the Incipient Cavitation and Erosion on Surface Triangular Protrusions 三角形突体初生空化与空蚀的试验研究 短句来源 更多
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triangular
We apply our methods to the Dickson, upper triangular and symmetric coinvariants.
Description of B-orbit closures of order 2 in upper-triangular
Let ${\mathfrak n}_n({\mathbb C})$ be the algebra of strictly upper-triangular $n\times n$ matrices and let ${\mathcal X}_2=\{u\in {\mathfrak n}_n({\mathbb C})\mid u^{2}=0\}$ be the subset of matrices of nilpotent order 2.
Let ${\bf B}_n({\mathbb C})$ be the group of invertible upper-triangular matrices acting on ${\mathfrak n}_n$ by conjugation.
In this paper we compute the Fourier transform of the diagonal distribution for $\phi_{*}\mu,$ relative to a compatible triangular decomposition of G, the complexification of U.
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The authors divide the effect of the shape of a valley cross-section on the earthquake hydrodynamic pressures into two parts: one due to the solidity ratio s=A/Bh, or the cross-sectional area A divided by the free-surface width B and the depth h, and the other due to the width-depth ratio w=B/H. As the ordinary cross-sections of valleys are essentially symmetric, three basic shapes, namely, rectangle, semi-circle, and isosceles right triangle, are chosen for analysis. Earthquakes in both the longitudinal and...
The authors divide the effect of the shape of a valley cross-section on the earthquake hydrodynamic pressures into two parts: one due to the solidity ratio s=A/Bh, or the cross-sectional area A divided by the free-surface width B and the depth h, and the other due to the width-depth ratio w=B/H. As the ordinary cross-sections of valleys are essentially symmetric, three basic shapes, namely, rectangle, semi-circle, and isosceles right triangle, are chosen for analysis. Earthquakes in both the longitudinal and the laterally transverse direction with respect to the valley axis are treated. The fundamental equations and hypotheses used follow those of Westergaard and Werner, and also borrowed from the two authors are the expressions for pressures on rectangular and semicircular dam surfaces due to longitudinal earthquake. Equation (8) gives a definition of the wave number c per unit length as related to the density ρand the bulk elastic modulus K of the water, the velocity ν_s, of sound in the water, and the circular frequency ω and the period T of the assumed simple harmonic seismic waves. In Eqs. (9) and (10) are introduced for the pressures and moments on dam surfaces the pressure coefficient C_p, the total pressure coefficient C_p, the coefficient of moment about the water line C_(MZ) due to longitudinal earthquake; and the corres ponding C'_p, C'_p, and C'_(MZ) and the coefficient of moment about the center line C'_MY due to transverse earthquake. In these equations, the symbol α denotes the acceleration coefficient; γ, the specific weight of water; A'=A/2, half the symmetric area; and b=B/2, the half width. Equations (11a) to (11c) and (12a) to (12d) are the derived expressions of the various coefficients for rectangular surface; Eqs. (13a) to (13c) and (14a) to (14d) are the ones for semi-circular surface, with the reduced Eqs. (14'a) to (14'd) in the condition c=0; and Eqs. (15a) to (15c) and (16a) to (16c), and also the reduced Eqs. (16'a) to (16'c) for c=0, are for isosceles right triangular surface. Figure 2 shows the effect of s on the conditions of resonances, for which the upper and the lower two curves correspond respectively to the case of transverse and longitudinal earthquake. Here the units of h and T refer respectively to meter and second.In Fig. 5 is shown the effect of s on the magnitudes of the various pressure and moment coefficients when the compressibility of water is ignored. Although this figure is for ω=2, it is considered that C_p and C_(MZ) for longitudinal earthquake depend on s only,and Fig. 5 alone is sufficient for their estimation whatever be the value w. Figure 6 shows the effect of ω on the various coefficients for transverse earthquakes when c=0 and s=1. Because C' is influenced by both s and w, it is suggested that when a C' is to be estimated, it is first obtained from Fig. 5 for the given s and then multiplied by the corresponding one obtained from Fig. 6 for the given w and again divided by C' for ω=2 from Fig. 6.
本文研究了河谷断面形式对铅直坝面上地震动水压力的影响。断面形式包括矩形、半圆形和二等边直角三角形,地震方向包括沿河谷的纵向和垂直于河谷的横向。给出了相应的压力分布、总压力和力矩的表示式,并进行了计算。引入了河谷断面充实比数和宽深比数来作为河谷断面形式的代表,并绘出了总压力和力矩系数随此二比数变化的曲线组,以供设计参考。
This paper develops a method of calculation of flood waves in open channels. It starts with a suggestion of a new method for solving the equations of unsteady flow: = /((1/2)~(△S))(1/2)~(2(Z_+-Z)), (3) k=β-W_k/△t, (4) in which the time interval △t may be changed very simply. Then an equation of flood waves for channel of parabolic cross-section is given as m/μ k~(m+0.67)+ k-β=0, (11) where In the last part of the paper the following equations are given: Ψ(η)=Ψ(η_0)+4A~2h_0~(2m+1)/W_0~2(m+1)~2i_0, (36) which...
This paper develops a method of calculation of flood waves in open channels. It starts with a suggestion of a new method for solving the equations of unsteady flow: = /((1/2)~(△S))(1/2)~(2(Z_+-Z)), (3) k=β-W_k/△t, (4) in which the time interval △t may be changed very simply. Then an equation of flood waves for channel of parabolic cross-section is given as m/μ k~(m+0.67)+ k-β=0, (11) where In the last part of the paper the following equations are given: Ψ(η)=Ψ(η_0)+4A~2h_0~(2m+1)/W_0~2(m+1)~2i_0, (36) which may be used to compute flood waves in rectangular and triangular channels approximately. Nomograms for equations (3), (10) and (11) are also presented.
本文建议了河渠不恒定流流动方程组(忽略惯性项)的新解法,使瞬态法能比较简便地应用于各种不规则的洪水变化特性;提出了任意次抛物型断面洪水波运动的计算公式,并对基本计算公式绘制了通用的诺模图,以便于计算。最后给出了矩形与三角形河渠中洪峯水深与洪峯流量的展平公式,并与克里茨基-明克里洪峯流量展平公式进行了分析与比较。
Among the difficult problems in hydraulics is the flow with a free urface,because, not known a priori,it has to be determined as a part of the solution.A finite element method based on the variational principle for variable domains is proposed for this type of problems. As shown in Fig.1, the domain of solution is divided by a prescribed F curve into two sub-domains,the fixed ABEPQGMNOA and the variable EFQPE with the free stream line as its boundary. Triangular elements and linear distribution of ψ are...
Among the difficult problems in hydraulics is the flow with a free urface,because, not known a priori,it has to be determined as a part of the solution.A finite element method based on the variational principle for variable domains is proposed for this type of problems. As shown in Fig.1, the domain of solution is divided by a prescribed F curve into two sub-domains,the fixed ABEPQGMNOA and the variable EFQPE with the free stream line as its boundary. Triangular elements and linear distribution of ψ are adopted for the inner region,while trapezoidal elements and linear distribution of q2 for the variable domain. The unknowns to be solved for are the values of ψ of the nodes and the ordinates of points on the free surface. Equating the partial derivatives of the functional to zero furnishes enough equations,thus,the location of the free surface and the values of ψ are solved for simultaneously. The method is applied to free surface sluice gate flow over spillway and computed pressure distribution agrees satisfactorily with experimental results.
用有限元法计算水力学问题的困难之一是如何处理自由水面.因自由水面的位置在计算前是不知道的,求解的区域就不能预先确定.常用的方法是先假定自由水面的位置,把问题当作具有已知边界的问题来计算,然后校核沿自由水面的条件是否满足.如不满足,再重新修改自由水面的位置进行计算,直到能满足为止.本文建议,从可变区域的变分概念出发,把决定自由水面形状的座标和各结点的流函数值当作未知量,形成方程组同时求解.用这种方式可以减少计算的工作量,算出的溢流面压力分布资料和试验结果符合较好.
 
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本文关键词:三角形网格在水动力水环境数学模型中的应用,由笔耕文化传播整理发布。
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