數值求積分 的英文怎麼說
中文拼音 [shǔzhíqiújīfēn]
數值求積分
英文
numerical quadrature- 數 : 數副詞(屢次) frequently; repeatedly
- 求 : Ⅰ動詞1 (請求; 要求) ask; beg; request; entreat; beseech : 求人幫忙 ask sb a favour; ask a favou...
- 積 : Ⅰ動詞(積累) amass; store up; accumulate Ⅱ形容詞(長時間積累下來的) long standing; long pending...
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 數值 : numerical value; numerial number; figure; magnitude; value數值表 numerical tabular; 數值天氣預報 ...
- 積分 : 1. [數學] integral; integrate; integration 2. [體育] (積累的分數) accumulate points
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On the basis of expound the theory of building exterior - protected construction energy consumption and the gene of influence the building energy, set up mathematics model, this article discuss the mechanism of dispelling the heat of the buildings " thermal bridge and the complication that influence it, and then synthetic analysis and calculate the influence range of building thermal bridge in exterior - protected construction column thermal bridge to the building outer wall get the conclusion that when the construction column can satisfy the building stress - area, in bulgy construction column dispel less heating than out bulgy construction column. but if the pole stuck out more than 100mm, in bulgy or out bulgy make no difference
本文在闡述建築圍護結構耗熱原理以及影響建築能耗因子的基礎上,採用數值模擬方法,探討了建築熱橋傳熱的基本機理和影響建築熱橋傳熱的因素,進而對建築熱橋在圍護結構傳熱中的影響范圍進行了綜合分析和計算,研究了構造柱熱橋型式對建築外墻能耗的影響,得出了構造柱在滿足建築受力面積要求的情況下,內凸構造柱較外凸構造柱略能減少散熱量的結論,但是凸出過大( 100mm )無論內凸還是外凸對建築耗熱都沒有大的差別。Total load was then obtained by graphical or numerical integration.
然後,通過圖解積分或數值積分可求得總載荷。The influence of the cloud droplet spectrum character and the spectrum growth and change is considered, which does not use a cut - off value for conversion from cloud water into rain water process. in the continuous coalescence equation, the particles fall velocity difference is not moved out from the integral, but is integrated in the equation as the function of diameter d to avoid the error of using particles average fall velocity. in the new scheme, generation rate of graupel due to the collection of snow by graupel and the collection of cloud ice by graupel are included
雲中凝結核ccn的數濃度採用超幾何函數表示;雲水向雨水的自動轉換過程採用grabowski ( 1999 )的公式,考慮了雲滴譜的特徵和發展變化對該過程的影響,而不是採用原方案給定閾值的方法描述該過程;對連續碰並方程不再將粒子落速差作為常量提出積分號外,而是直接作為粒子直徑函數在積分號內求解,這樣處理可以迴避使用粒子群的平均落速帶來的誤差;增加了霰和雪、霰和冰晶的碰並微物理過程。Second, adopting the linearity of oil film of the guide bearings, the transient response of the shafts is computed and analysis by integrating with willson method. because of the uncertain position of the shafts in the guide bearing, the model and solution method of nonlinear transient response of the shafts is discussed
然後結合willson數值積分法,採用線性化油膜力,對機組軸系的線性瞬態響應進行了計算分析,根據機組軸系在瞬態響應中運動的不確定性,給出了由導軸承油膜力非線性所引起的主軸系統的非線性瞬態響應的建模及求解方法。Chapter 1 deals with the numerical simulation method. chapter 2 deals with the monte carlo methods. the monte carlo integration that the domain of integration is curved or complex connected curved polyhedron and the integrand has singular points is discussed in this chapter
第二章討論了用montecarlo數值模擬方法求積分區域為曲面體和積分區域為復連通曲面體的情形,且被積函數有奇異點。The numerical algorithm of solving the adjoint equations for different design cases have been developed by using finite volume methodology which is usually used to solve the flow governed equation. it includes the some important aspects, such as flux formulation, wall and far - field boundary treatment methodology, dissipative term formulation, etc. after the solution of the adjoint equations is obtained, the derivatives of the cost function with respect to all the design variables can be evaluated with the same operation. this can yields a significant saving over the other gradient - based techniques when there are many design variables
( 3 )進行了應用控制理論和三維歐拉方程的機翼氣動反設計研究,以及有升力約束情形下機翼跨音速減阻問題研究,分別推導了相應的共軛方程及邊界條件數學表達形式,研究與發展了三維共軛方程的有限體積數值求解方法,及相應梯度公式的數值求解方法,通過對計算網格生成、流場計算、共軛方程數值求解、梯度求解和優化演算法等多方面的有效結合,成功發展了三維機翼的氣動反設計和跨音速減阻優化設計程序,成功地進行了多個設計算例研究。The integral method via a scaling and squaring algorithm with the pade approximation is presented. the three - stage lobatto iii a formula is applied to structural dynamic time history analysis. and the three - stage lobatto a formula to use hermite third order interpolations to solve interpolating middle input between two boundary points is present, which provides more accurate solutions
提出了基於自適應變尺度pad函數逼近的精細積分方法;建立基於lobatto a一階代數微分方程邊界問題數值求解技術求解結構動力學問題的時程分析方法,提出了中間插值點hermite三次插值lobatto a數值逐步積分時程分析方法。The relationship between the resisitivity and the stress was simulated by matlab software. based on the mathematical and physical strength model, the resistivity in different thickness of the composite was attained, and the total resistivity was attained through the integral of thickness, which is basically identical with the tested resistivity
用matlab軟體模擬了應力與電阻率的變化關系式,再結合數學物理力學模型,得到了組元不同厚度處的電阻率值,通過對厚度求積分得到的總電阻率值,與實測電阻率值基本吻合。In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples
第二章在聲波動理論基礎上,詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式;根據fredholm積分理論,對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明;改進了chief法以提高其克服解的非唯一性的有效性和可靠性;對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究;開發了三次樣條改進chief法計算軟體,並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。The main work includes : for the torsional vibrations of a rigid disk on saturated media, first, the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated. then, considering the mixed boundary - value condition, the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained, which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures. consequently, the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one
在前人研究的基礎上,本文基於陳龍珠等曾提出的一組實用飽和土波動方程,用解析或半解析的方法首次較系統而深入地研究了飽和半空間地基與基礎的扭轉振動問題,主要工作有:對于飽和地基上剛性圓板的扭轉振動,作者首先採用hankel變換求解了動力控制方程,得到了該控制方程在hankel變換域內的通解,然後由混合邊值條件建立了飽和地基上剛性基礎扭轉振動時的對偶積分方程,並將其化為易於數值求解的第二類fredholm積分方程,用數值方法計算了基礎的動柔度和扭轉角幅值與振動頻率的關系曲線,並將其與單相彈性介質情況進行了對比分析。Based on the deduced vector potentials, the expressions of the electric fields are derived. also the numerical evaluation method of sommerfeld integrals appeared in the expressions is discussed
接著推導出半空間界面附近電偶極子的電場強度的表達式,並討論表達式中索末菲積分的數值求解方法。A detailed model of non - linear parametric excitation vibration coupling the stay cable and the girder, in which the static sag as well as the geometric non - linearity are considered, is proposed in this paper. based on several numeric examples investigated by the galerkin method composed with the integration strategy, several kinds of factors effecting stay cable parameter vibration are studied. another parameter vibration model by the axial excitation is presented and the corresponding nonlinear equations are derived
本文創新地提出了斜拉橋拉索-橋面耦合參數振動模型,推導了索-橋耦合非線性參數振動方程組,聯合galerkin法及數值積分方法,對各種特性的拉索進行了數值求解,得出了影響拉索參數振動的各種因素;提出了斜拉索受軸向端激勵參數振動模型,導出了模型的非線性振動方程,使用諧波平衡法得出了產生參數振動需要的最小激勵幅值、共振時瞬態及穩態的振動幅值及索拉力的變化特性,並用數值積分方法對實際斜拉橋拉索進行了計算,分析了拉索阻尼對參數振動的影響。With the fdtd method to solve the maxwell equations, with the finite - volume method to solve the n - s equations and with the single temperature local thermal equilibrium to solve plasma, first time to adopt the method of all numerical simulation, the coupling flow field of microwave plasma within resonant cavity of mpt was analyzed. for tm011 model and tem model, the matching relation between various parameters and its influence on the coupling flow field of microwave plasma within resonant cavity of mpt was studied separately. the reasonable selection of miniaturization design parameters was pointed out in the numerical simulation to be used in mpt miniaturization, i. e. throat, gas flux and microwave power should be smaller suitable after miniaturization
採用fdtd法求解maxwell方程、有限體積法求解n - s方程、單溫度局域熱平衡模型求解等離子體參數,首次用全數值方法對mpt諧振腔進行了微波等離子體耦合流場的數值模擬,分別分析了tm _ ( 011 )和tem兩種模式各自的參數匹配關系及其對微波等離子體流場的影響;應用於小型化mpt時,指出了小型化設計參數的合理選取,即:小型化后的mpt ,喉徑小、工質流量小,消耗的微波功率也小。In this paper, the finite difference method is used to solve the diffusion equation and the spherical particle is discretized with iso - spacing grids and iso - volumetric grids respectively
採用有限差分法數值求解擴散方程,分別利用等距網格和等體積網格劃分計算區域。An improved finite volume technique and total variation diminish scheme has been presented for solving the numerical problem with complex flow gas and space time processing synchronously, based on analysis of some numerical method for increasing the convergence, precise and strong capture capacity of shock wave
針對高壓sf _ 6斷路器氣流場求解的復雜性和特殊性,在對常用氣流場數值求解方法應用特點分析的基礎上,本文採用改進的有限體積tvd格式進行斷路器氣流場數值求解,提高了解的收斂性、準確性和激波的捕捉能力。To solve the navier - stokes equation, we discrete the water domain into triangular meshes and use a powerful numerical tool named finite volume method
我們借用計算流體動力學中的數值分析工具,對淺水波方程進行數值求解。採用有限體積法求解方程,解穩定並且效率高。Precise numerical solution of soil consolidation effect and its possible engineering application
土壤的固結效應及精細積分數值求解The traction - free condition on the crack line is mended to get more accurate results. it can be expressed by a series of integral equations which can be discretized to a set of linear equations and then it can be solved easily. stress intensity factors ( sif ) are gotten through the root of the linear equations
( 2 )推導了遠場應力、熱應力耦合作用下含夾雜裂紋體的應力強度因子求解公式,改進了體積力法中的裂紋面合力平衡條件,將應力強度因子的求解歸結為解一組積分方程,再將積分方程轉化為線性方程組進行數值求解。For these proposes, we chose electromagnetic boundary integral equation ( bie ) theory as the theoretical foundation, method of moments ( mom ) as numerical process and the multilevel fast multipole algorithm ( mlfma ) to accelerate the solving process and reduce memory requirement
為此,我們選擇了電磁場邊界積分方程( bie )理論作為理論基礎,以矩量法( mom )作為數值求解方法,並使用多層快速多極演算法( mlfma )來加速求解過程和降低存儲需求。Radial basis functions provide highly useful and flexibel inter - polants, which have been used in the numerical solution of partial differential equations. in this thesis we apply it to get the stable solution of integral equation of the first kind
徑向基函數是一種特別靈活的基函數,它應用於偏微分方程的數值求解,並取得了一些成果;本文把它應用於第一類積分方程的數值求解。分享友人