邊界方程法 的英文怎麼說
中文拼音 [biānjièfāngchéngfǎ]
邊界方程法
英文
boundary equation method- 邊 : 邊Ⅰ名詞1 (幾何圖形上夾成角的直線或圍成多邊形的線段) side; section 2 (邊緣) edge; margin; oute...
- 界 : 名詞1 (相交的地方; 劃分的界限) boundary 2 (一定的范圍) scope; extent 3 (按職業、工作或性別等...
- 方 : Ⅰ名詞1 (方形; 方體) square 2 [數學] (乘方) involution; power 3 (方向) direction 4 (方面) ...
- 程 : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
- 法 : Ⅰ名詞1 (由國家制定或認可的行為規則的總稱) law 2 (方法; 方式) way; method; mode; means 3 (標...
- 邊界 : boundary; frontier; border; borderline; edge range line; periphery
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Introducing the theory and application of boundary element method on the sound radiation, giving the process of solving vibration noise radiation problem using boundary element analysis software ; presenting the coupling theory and the combination analysis of finite element method and boundary element method, and doing relevant analysis based on close drum shell ; programming the noise data simulation program using the numerical calculation software, simulating the acoustic and pressure data of a key point in the transient response acoustic field of the close drum shell, realizing the audibility of the noise, using the virtual reality tools to simulate the vibration noise of the drum shell ; combining the finite element method and boundary element method to analyze the vibration noise radiation of some gear box, and completing the whole simulation process of the vibration noise of the gear box
綜合介紹了邊界元法在聲輻射問題上的理論及應用;並給出了運用邊界元法分析軟體求解振動聲輻射問題的過程。闡述了有限元法和邊界元法的耦合理論及組合分析方法,並以封閉鼓形薄殼為分析對象進行了相應的分析。利用數字計算軟體編制了噪聲數據模擬程序,並模擬了通過組合方法分析封閉鼓形薄殼瞬態響應聲場而獲得一關鍵點的聲壓數據,實現聲音的可聽化,隨后通過虛擬現實工具實現了該情形下橢球殼振動噪聲的虛擬模擬。In this paper, we give a brief introduction to the helfrich elastic theory. to solve the helfrich equation under the physical conditions of vesicles, a taylor series method is introduced, which offers a unified method to reproduce the exact solution including the famous axisymmetrical constant - curvature surfaces and the biconcave shape solution
本文在簡要介紹了helfrich的彈性理論及膜方程的基礎上,開創性地引入taylor級數法,在軸對稱膜的邊界條件下,對helfrich膜方程以taylor級數法求解,統一地得到了目前已知的兩個特解:常平均曲率曲面和紅血球形狀解。And the explicit finite difference method, the combining method of the central difference method and newmark s constant average acceleration method, and the transmitting boundary are used. by comparing the acceleration determined by the several methods of the displacements or velocities, a computing method of acceleration employed the one side difference of velocity is more practicality in this research. corresponding to normal incidence of the body waves, p waves or svwaves, and rayleigh surface waves, two two - dimensional finite difference programs are compiled to compu te the dynamic response of two - phase media
以土力學模型為基礎,利用以土骨架和孔隙流體的四個位移為基本未知量的數值方法去模擬二維飽水介質中的地震波傳播,採用了顯式差分方法(中心差分法和newmark常平均加速度法結合)和透射邊界,通過比較利用幾種差分格式求解的加速度結果,發現一種用速度單邊差分求解加速度的方法在本文研究中較為實用,分別編制了體波( p波或sv波) 、 rayleigh面波輸入時求解兩相介質動力響應的兩個二維數值分析程序。The study work includes three parts. in the first part, numerical methodology of three - dimensional discrete fracture network ( dnf ) model casing on hybrid bem - channel was presented, and the technique for improve the model ' s computing efficiency was also studied
首先,提出了一種基於混合邊界元?管流的改進的三維離散裂隙網路模型,並研究了提高模型計算能力的方法,使其可以具有更好的工程應用性。A one - dimensional oceanic mixed layer model with the m - y level - 2. 5 turbulence closure schemes is employed. the rate of energy loss by breaking waves is estimated by parameterization and incorporated into the model as a source of turbulence kinetic energy ( tke ) by modifying the existing surface boundary condition of tke equation. the velocity field and turbulence energy budget are calculated under different forcing conditions ( the results given below are for a wind speed of 20 m / s. )
採用一維2 . 5階湍封閉混合層模式,根據參數化方法對波浪破碎導致的能量耗散率進行了估計,通過改變湍動能方程的上邊界條件引入波浪破碎對湍動能生成的影響,計算了不同風應力強迫下的混合層流場結構和湍能量收支(下述給出的結果是取風速為20m s得到的) 。For obtaining the numeral solutions of round elastic plates in axisymmetrical deformation with varying - thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field, by establishing the equations of motion, the equations of distortion, the equations of lorentz force, the equations of electronic dynamic mechenical, and adopting iterative method, we gained the nonlinear magneto - elastic calculation method and outcome of current - carrying shell, and gained the influencing degree toward mechanical parameter of varying thickness round ferreous plates in the electromagnetic field and mechanical field
摘要為了獲得內邊界固定的環形導電薄板在均布力與橫向磁場作用下的變形問題的數值解,通過建立運動方程、變形方程、電動力學方程和洛侖茲力方程,運用迭代法得出了載流板殼的非線性磁彈性的計算方法和結果,以及機械場、電磁場對鐵質變厚度圓板各力學參量的影響程度。There are three sections in this paper. the first section : we consider the initial boundary value problem on half line and bounded interval, with kato ' s method for abstract quasi - linear evolution equations and a prior estimates of. solution, we get the existence of global smooth solution and the blow - up of solution in finite time under some conditions
第一部分:考慮了camassa ? holm方程在半無界和有界區域上的初邊值問題,用kato關于擬線性演化方程的初值問題的理論及先驗估計的方法,證明了整體解的存在性,及在一定條件下,解在有限時間內的blow ? up 。In recent years, plentiful and substantial fruits achieved by the lb method in simulations of hydraulics, multiphase flows, flows in porous media and heat transfer as well as magnetohydrodynamics, have revealed a broad perspective of application of this method, it will become a powerful competitor to the conventional approaches. in order to absorb the recent achievement in theory and application of the lb method, explore new ways in hydraulic computation to promote the development of practice, some work is car ried out in this thesis, as following : advances in the theory research and application, deductive process of the d2q9 model and some other commonly used models of the lb method are summarized. based on the hydrodynamic and general boundary conditions, a new joint boundary condition is presented, it integrates advantage of the two conditions above and obtains very good results in dealing with all kinds of boundaries of flow fields
為了消化和吸收近年來lb方法在理論和應用方面的新成果,探索在水力計算方面的新途徑以促進lb方法實用化的發展,本文進行了下列研究工作:綜述了lb方法在理論研究和實際應用方面的新進展,以及d2q9模型的推導過程和其他一些常用的模型;在水動力邊界條件和通用邊界條件的基礎上提出了一種新的聯合邊界條件方法,它綜合了上述兩種邊界條件的優點,在流場的各種邊界處理中取得了非常好的效果,經過模塊化的處理以後這種邊界條件具有更好的實用性;針對均勻網格的lb方法計算效率較低的不足,提出了雙重網格的latticeboltzmann方法,通過二維poiseulle流動、后臺階流動和渠道方槽流動三個算例的模擬,證明這種方法能夠明顯地提高流場模擬的計算效率;此外,根據復雜區域流場的特徵提出了latticeboltzmann方法的分塊-耦合演算法,利用lb方法的計算特性實現塊與塊之間的數據交換,充分利用計算資源提高計算效率,通過對「 t 」型、 「十」型和「 x 」型分岔管道流場的模擬,展示了這種演算法的特徵和優點,以及它所具有的應用前景。The most achievement is that we firstly obtain the analytic accurate solution of the modal fields of the waveguide structure and find some available character : ( 1 ) the different uniaxial crystal materials have the different propagation properties ; ( 2 ) when the optical axis of the crystal is on the plane that is made up of the normal direction of the waveguide plane and the propagation, there are te mode and tm mode in this special waveguide, but the principal mode is different of the character of the uniaxial crystal, the principal mode is the principal mode of te mode for the negative uniaxial crystal, but the one of tm mode for the positive uniaxial crystal ; ( 3 ) when the crystal optical - axis parallel to the waveguide plane, for the positive uniaxial crystal material, the principal mode of the waveguide is a te wave, which can be excited by the light at any frequency ; when the light frequency satisfies a single mode propagation condition, there will be only the principal mode propagating in the waveguide, otherwise some of the higher order modes can be excited, which are neither te modes, nor tm modes, but the hybrid guided modes
本文就是在此背景下,利用金屬波導和單軸晶體的一些特性,結合麥克斯韋方程組和波導的邊界條件,從三種不同的情況研究了光在對稱平面單軸晶體金屬波導(波導層是單軸晶體,兩個波導界面均為金屬)內的傳輸特性,其主要貢獻為,首次解析地得到了這種波導結構下模式場的精確解,並發現了一些有用的特性: ( 1 )模式場的性質因單軸晶體的性質不同而異; ( 2 )當單軸晶體光軸位於波導界面法方向與傳輸方向構成的平面內時,波導中傳輸te波和tm波,只不過其主模因單軸晶體的性質不同而異,當波導層介質為負單軸晶體時,波導主模是te波主模,而波導層介質為正單軸晶體時波導主模是tm波主模。 ( 3 )當單軸晶體光軸位於波導面內時,對于正單軸晶體,波導的主模是橫電波te _ 0模,任何頻率的光波均可激勵該模式;當光波波長滿足一定條件時,波導內傳輸單模,否則,將激勵起高階模式,高階模即匪te波,也匪tm波,而是兩者耦合而成的混合模。Compared with traditional numerical methods such as the fem, fdm, etc, the lb method has several important features, including : simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has much advantage in the respect of parallel computation because of its regional evolution
與傳統的計算方法如fem 、 fdm等相比, lb方法具有演算法簡單、編程容易、壓力可以通過狀態方程直接求解、能夠模擬各種復雜邊界的流場等優點,並且計算的局域性使其在并行計算方面也具有很大的優勢。Based on this milti - hierarchical model, application method for information organization of part is presented. chapter 3 proposes a new rule of arbitrary maximum angles of chord for triangulation and locale optimum, which avoides calculating angles of conventional methods in mesh simplification. moreover, with the introduction of arithmetical average windage concept, optimum method for the boundary mesh retriangulations is presented
第三章針對曲面網格簡化操作過程中出現的空洞剖分問題,討論層次模型的網格優化方法,提出了基於弦內角最大準則的局部網格簡化方法;針對網格曲面上存在的曲折邊界缺陷,提出以邊界輪廓算術平均偏差作為邊界曲折程度評定參數的邊界平滑優化剖分方法。Boundary element solution to a class of periodical heat conduction equation
一類周期性熱傳導方程的邊界元數值解法Based on the extended boundary condition method and addition theorem of vector spherical functions, this paper study the light scattering problems of aggregate spheres from the angles of a single sphere, two - sphere system and multi - spheres system
本文基於擴展邊界條件法及矢量球諧函數的加法定理,通過嚴格求解maxwell方程所得到的散射傳輸矩陣,對與入射波波長可比擬的群聚球形粒子的散射問題進行了研究。Initial ground stresses of rock slope were simulated, using boundary displacement method ( bdm ) and stress function method ( sfm ) respectively, and combining with finite element method ( fem ). the practical results indicate both methods can simulate the initial stress field with good effect
採用邊界位移法和應力函數法,並結合有限元程序對巖質高邊坡進行了初始地應力場的模擬與分析,實踐結果表明這兩種方法均能取得較好的效果。Abstract : this paper proposed a numerical method to determine the oscillatory stress singularities and the related stress intensity coefficients, by use of common numerical solutions ( stresses or displacements ) which obtained by an ordinary numerical technique such as finite element method or boundary element method
文摘:本文以具有振蕩應力奇異性的平面問題為例,提出了一種利用普通的數值分析結果(由有限元或邊界元程序計算得到的應力分量或位移分量) ,來確定奇異點附近的振蕩應力奇異性次數以及相應的復應力強度系數的數值分析方法。Observational physical oceanography includes topics such as the physical description of the sea, the physical properties of seawater, methods and measurements, wind - driven ocean circulation, abyssal ocean circulation, boundary processes, and wave motions
觀測物理海洋學所含括的主題如下?海的物理描述、海水的物理特性、方法與測量、風成海洋環流、深海海洋環流、邊界過程、和波動等。A electron trace modeling program, vbgun has been programmed using fortarn language. the work and novelty of this thesis includes the several aspect following. 1. particularly investigated the mathematic model of boundary integrating equation method and the constructing of matrix equations, including dispersing boundaries, compartmentalizing grids, voltage calculating and reserving
本論文的主要工作和創新性體現在以下幾個方面: 1 .詳細討論了邊界積分方程法計算電磁場的數學模型和矩陣積分方程組的建立方法,對邊界的離散、網格的劃分、電位的計算和貯存等過程分別進行了討論。In this paper, deconvolution and linearized inversion of receiver function are improved ; multi - channel deconvolution and wavelet inversion are developed for receiver function. the elastic wave motion equation is applied in the simulation and migration of receiver function in lateral inhomogeneous media, multi - grid algorithm is introduced in numerical modeling of elastic wave motion equation, and phase - delay boundary condition is also provided to absorb boundary reflection
在此基礎上,重點研究和發展了橫向非均勻介質中,基於波動方程的數值模擬與偏移成像方法,首次將多重網格演算法引入到彈性波方程的數值模擬和接收函數的偏移成像,還發展了一種延遲邊界方法,以消除人為邊界反射的影響。In this paper, firstly we present some results about of conventional bem, and multiple reciprocity method ( mrm ) for solving dynamics response of viscoelastic thin plate is given the whole plane expression and boundary integral equation for mrm, next we prove that the solution of the boundary integral equation obtained by mrm is the same as the one derived from the conventional fundamental solution of boundary value problem
本文首先給出了常規邊界元方法的一些結果及在laplace變換區域中得到了由重調和運算元基本解序列給出了粘彈性薄板動力響應問題的多重互易法( mrm方法) 。並對粘彈性薄板的動力響應問題的mrm方法給出了收斂性分析,證明了mrm方法導出的邊界積分方程的解與邊值問題基本解導出的常規邊界方程的解是相同的。Two simulation methods of radiation condition are used in this paper. the first one is the matching method and the other one is the mtf ( multi - transmitting formula ) method
遠方輻射條件的模擬探討了兩種方法,一種方法是匹配積分方程方法,另一種是應用透射理論的人工邊界方法。分享友人