本文關(guān)鍵詞：三角形網(wǎng)格在水動力水環(huán)境數(shù)學(xué)模型中的應(yīng)用，由筆耕文化傳播整理發(fā)布。

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地球物理學(xué)

數(shù)學(xué)

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物理學(xué)

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力學(xué)

自動化技術(shù)

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建筑科學(xué)與工程

    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.

    論述了用三角波雷達(dá)探測地下金屬目標(biāo)物的原理,介紹了小波包理論,給出了小波包特征提取的算法。

短句來源

    The Experimental Study on Measurement Characteristics of High Concentrated Muddy Flow in Triangular Thin Plate Weir

    高含沙渾水三角堰測流特性的研究

短句來源

    Triangular Flume Method & and Its Empirical Formulas for Flow Measurement

    三角槽測流方法及經(jīng)驗公式

短句來源

    The Flow Measurement Performance of Triangular Profile Weirs in Trapezoidal Channels

    梯形槽中三角剖面堰測流特性研究

短句來源

    2-D Electrical Modeling Due to a Current Point by FEM with Variation of Conductivity within Each Triangular Element

    三角單元部分電導(dǎo)率分塊連續(xù)變化點源二維電場有限元數(shù)值模擬

短句來源

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    Scattering of SH-Wave by Triangular Hill and Subsurface Cavity

    SH波對三角形凸起及其附近淺埋圓孔的散射

短句來源

    Application of triangular mesh in mathematical models of hydrodynamic and hydro-environment field

    三角形網(wǎng)格在水動力水環(huán)境數(shù)學(xué)模型中的應(yīng)用

短句來源

    (3)With both rectangular grid and triangular grid,two sets of finite-difference mathematical models of wave-induced nearshore current are set up.

    (3)建立了基于兩種網(wǎng)格的兩套數(shù)學(xué)模型,即三角形網(wǎng)格有限差分?jǐn)?shù)學(xué)模型和矩形網(wǎng)格有限差分?jǐn)?shù)學(xué)模型,基于這兩種網(wǎng)格的數(shù)學(xué)模型能滿足近岸波生流場的模擬需要。

短句來源

    Modeling slip zones with triangular dislocaiton elements

    用三角形位錯元模擬滑動區(qū)

短句來源

    Study of the Incipient Cavitation and Erosion on Surface Triangular Protrusions

    三角形突體初生空化與空蝕的試驗研究

短句來源

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    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．對于三角形地形或者結(jié)構(gòu)，高度的增加可等效于提高入射波波數(shù)，從而使減小三角形的剛度，此時地表位移幅值更容易受影響。

短句來源

    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.

    用三角形的圖板表示這兩種參數(shù)組會與井資料所對應(yīng)的巖性時，反映出巖性分區(qū)規(guī)律，可區(qū)分不同巖石類型。

短句來源

    Scattering of SH-Wave by Triangular Hill and Subsurface Cavity

    SH波對三角形凸起及其附近淺埋圓孔的散射

短句來源

    Application of triangular mesh in mathematical models of hydrodynamic and hydro-environment field

    三角形網(wǎng)格在水動力水環(huán)境數(shù)學(xué)模型中的應(yīng)用

短句來源

    (3)With both rectangular grid and triangular grid,two sets of finite-difference mathematical models of wave-induced nearshore current are set up.

    (3)建立了基于兩種網(wǎng)格的兩套數(shù)學(xué)模型,即三角形網(wǎng)格有限差分?jǐn)?shù)學(xué)模型和矩形網(wǎng)格有限差分?jǐn)?shù)學(xué)模型,基于這兩種網(wǎng)格的數(shù)學(xué)模型能滿足近岸波生流場的模擬需要。

短句來源

    Modeling slip zones with triangular dislocaiton elements

    用三角形位錯元模擬滑動區(qū)

短句來源

    Study of the Incipient Cavitation and Erosion on Surface Triangular Protrusions

    三角形突體初生空化與空蝕的試驗研究

短句來源

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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.

本文研究了河谷斷面形式對鉛直壩面上地震動水壓力的影響。斷面形式包括矩形、半圓形和二等邊直角三角形,地震方向包括沿河谷的縱向和垂直于河谷的橫向。給出了相應(yīng)的壓力分布、總壓力和力矩的表示式,并進(jìn)行了計算。引入了河谷斷面充實比數(shù)和寬深比數(shù)來作為河谷斷面形式的代表,并繪出了總壓力和力矩系數(shù)隨此二比數(shù)變化的曲線組,以供設(shè)計參考。

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.

本文建議了河渠不恒定流流動方程組(忽略慣性項)的新解法,使瞬態(tài)法能比較簡便地應(yīng)用于各種不規(guī)則的洪水變化特性;提出了任意次拋物型斷面洪水波運動的計算公式,并對基本計算公式繪制了通用的諾模圖,以便于計算。最后給出了矩形與三角形河渠中洪峯水深與洪峯流量的展平公式,并與克里茨基-明克里洪峯流量展平公式進(jìn)行了分析與比較。

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.

用有限元法計算水力學(xué)問題的困難之一是如何處理自由水面.因自由水面的位置在計算前是不知道的,求解的區(qū)域就不能預(yù)先確定.常用的方法是先假定自由水面的位置,把問題當(dāng)作具有已知邊界的問題來計算,然后校核沿自由水面的條件是否滿足.如不滿足,再重新修改自由水面的位置進(jìn)行計算,直到能滿足為止.本文建議,從可變區(qū)域的變分概念出發(fā),把決定自由水面形狀的座標(biāo)和各結(jié)點的流函數(shù)值當(dāng)作未知量,形成方程組同時求解.用這種方式可以減少計算的工作量,算出的溢流面壓力分布資料和試驗結(jié)果符合較好.

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  本文關(guān)鍵詞：三角形網(wǎng)格在水動力水環(huán)境數(shù)學(xué)模型中的應(yīng)用，由筆耕文化傳播整理發(fā)布。