數值方程 的英文怎麼說
中文拼音 [shǔzhífāngchéng]
數值方程
英文
numerical equation-
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 thesis focus on the numerical analytical method of curved broadband wire antennas. first, the paper introduced the development of broadband antennas, the common measures to broaden antennas " bandwidth and the study on curved antennas. second, the generalized halen integral equation ( mei ' s equation ) was derived based on the three basic equations of wire antennas by two means and its numerical solution method was discussed
本文就曲線寬頻帶線天線的數值分析方法展開研究，首先介紹了寬頻帶天線的發展，實現天線寬頻帶的常用方法和曲線天線的研究現狀，然後在直線加載天線滿足的方程的基礎上用兩種方法推導了曲線天線滿足的推廣的海倫積分方程（ mei 』 s方程） ，討論了不同基函數下方程的數值解法。There are certain difficulties in studying the failure process of frangible materials such as concrete, rock, etc which are caused by dynamic loads such as collision, earthquake, exploding, etc by those current exited numerical methods like finite element method etc. so in order to solve such a problem we should introduce certain new numerical analysis method
現存的一些數值方法如有限元法等在研究混凝土、巖石等脆性材料在沖擊、爆破、地震等動荷載作用下的破壞過程問題中存在著一定的困難。因此，對於此類問題需要新的數值分析方法。( 2 ) the liman problem is normally adopted to check the liability of numerical method. the calculation error was within 9 % by comparison with the theoretic solutions of liman problem in the following case, the dimensionless calculation length was 2 with high pressure zone 0. 8, and the dimensionless state parameters were p1 = 2, p2 = 1, p1 = p2 = 1, u1 = u2 = 0. experiment results in literature [ 8 ] were used to check the adaptability of the numerical model developed here for unconfined gas cloud explosions and the calculation error was within 13 %
（ 2 ）數值方法的可靠性通常用黎曼問題的解析解檢驗，本文以無量綱計算區長度為2 ，高壓區長度為0 . 8 ，狀態參數為p _ 1 = 2 ， p _ 2 = 1 ， _ 1 = _ 2 = 1 ， u _ 1 = u _ 2 = 0條件下的黎曼問題解析解對所編制的爆炸場計算程序進行了考核，結果表明該程序的計算誤差在9以內；為考核本文計算模型預測開敞空間氣雲爆炸的適用性，以文獻[ 8 ]的實驗數據進行了校核，計算誤差在13以內。The asteroids are the most important small bodies in the solarsystem, and they mainly lies in the two locations - a main belt between the mars ' s orbit and the jupiter ' s and the near - earth space. the most feature of the orbits of near - earth asteroids ( neas ) is that the semi - major axes of the orbits are nearly equal to that of the earth or the perihelia distances are approximate to or even less than the mean distance between the sun and the earth, thus they could move into inside of the earth ' s orbit, so that they might close approach or even colliside with the earth ( or other planets, such as the venus, the mars, etc. ). the characteristic brings about some difficulties in the numerical research during their orbital evolution, which leads to the failure of the normalization technique in the general removal impact singularities of celestial mechanics methods and the symplectic algorithm which is successfully applied to the investigation in quality. by comparing the computation effects of several common numerical methods ( including symplectic algorithm ), and considering the nature of the movement of the small bodies, the corresponding treatments are provided here to improve the reliability of the computation
小行星是太陽系最重要的一類小天體，主要分佈在兩個區域；火星和木星軌道之間的一條主帶和近地空間.近地小行星軌道的最大特點是其軌道半長徑與地球軌道半長徑相近，或近日距離接近甚至小於日地平均距離，其運動可深入到地球軌道的內部，這將導致該類小行星與地球（還有金星、火星等）十分靠近甚至發生碰撞.這一特徵給其軌道演化數值研究帶來一些困難，包括天體力學方法中一般消除碰撞奇點的正規化處理以及對定性研究十分成功的辛演算法都將在不同程度上失效.通過對幾種常用數值方法（包括辛演算法）計算效果的比較，根據小天體運動自身的特性，給出了相應處理措施，從而可提高計算結果的可靠性To solve the difficulties of digital integral that exist in global optimization of redundant manipulators, this paper discussed how to build up dynamic equation, the inner relation between constraints and unconstraint optimum control problems, then a digital method solving optimum control problems is deeply analyzed
摘要為了解決冗餘度機器人全局法優化中數值求解的困難，本文討論了動力學方程的建立、無約束和有約束最優控制問題之間的內在聯系，重點分析了求解最優控制問題的數值方法。The damage evolution law obtained from the model is related to the void volume fraction, the void shape, as well as triaxiality stress
進而採用hill自治方法，得到了珠光體材料宏觀損傷本構描述，並發展了相應的數值方法與程序。On the basis of one - dimensional transport calculation, we have given two ways to solve the burnup equation, one is the analytic method ( bateman ), the other is the numerical method
我們在一維輸運計算的基礎上，給出了用解析的bateman方法和數值方法對燃耗方程的求解過程。2005, 24 : 561 - 566. 77 botsch m, bommes d, kobbelt l. efficient linear system solvers for mesh processing. lecture notes in computer science, 2005, 3604 : 62 - 83
本文還將簡單的介紹數字幾何處理中常用數值方法求解大型稀疏的線性方程組，幫助初學者實現和掌握一些基本的數字幾何處理方法。To improve understanding of the processes of heterogeneous land surface - atmosphere interaction, the utilization of satelli te remote sensing is indispensadle. in this paper, with the aid of satellite remote sensing and fiend observational data which observed during intensive observation of huaihe river bain energy and water cycle experiment hubex in 1998, the surface albedo, ndvi normalized difference vegetaton index and surface temperature in regional scale of hubex could be derived. then, the distribution of regional energy balance components could be estimated. this wor provided the physical foundation for the numerical simulation of the huaihe river basin energy and water pro cesses, and is important for us to further analyze the regional distribution of surface characteristic parameters ad energy balance components with the change of the weather situation in hubex in 1998. our work is still in a developing stage, some methods of retrieval in the paper should be improved further
利用1998年淮河流域加密觀測試驗hubex iop期間的資料，進行淮河流域能量平衡的參數化方案的研究，用noaa衛星的avhrr資料建立了試驗區地表特徵參數及能量平衡各分量的參數化方程，並對衛星遙感反演結果和試驗觀測值進行了對比，為淮河流域能量和水循環的數值模擬提供了物理依據。A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. the finite - difference of governing equations with fourth - order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations. the combination of global and local methods is implemented, and a new iterative formula is derived
對于曲線坐標系下的拋物化穩定性方程，文中發展了求解的高效數值方法:引進法向變換，使得在臨界層與壁面之間的擾動量變化最快的區域有更多的法向網格點;導出包含邊界鄰域在內的完全四階精度的法向有限差分格式，這對方程精確離散至關重要;採用全局法和局部法相結合的方法及其新的迭代公式，大大加速收斂並得到更精確的特徵值。New numerical method to solve eigenvalue equation of surface wave
計算表面波特徵方程的一種新的數值方法According to eigenvalue equation ( general formula ) of the energy method of the plane steel frame structure stability, and considering the restriction of the end of the column of the main steel frame and function of deflection curve gained from the differential balance equation general resolution, we get the equation for calculating the length coefficient of the main frame structure stability of the steel arch gate and the resolutions are also given
根據平面剛架穩定性能量法特徵值方程（通式） ，考慮弧形鋼閘門主框架柱的柱端約束的特殊情況，求出撓曲線函數（試解函數）通解，得到弧形鋼閘門主框架柱穩定性計算長度系數方程。其中弧門主框架主橫梁式形框架的臨界荷載比較現行規范推薦的有限元法簡單方便、結果精確及物理概念明確等優點。4. with visco - elastic boundary of soil considered, the eigenvalue equation in frequency domain of soil dynamic equilibrium equation falls into a complex transcendental equation. in course of seeking its solution, based on argument principle and contour integral, with the aid of matlab, two numerical algorithm combined with the corresponding procedures for solving transcendental equations in a complex plane is developed by the author
4 、由於考慮了土體的粘彈性支承邊界條件，使得其動力平衡方程在頻域內的固有值方程為一復數超越方程，為了求解該方程，筆者基於幅角原理和閉合曲線積分，結合matlab ，提出了復平面上超越方程的兩種數值解法，並編制了相應的程序。After analysis of the parameters of the devices, a conclusion is achieved that we can directly use the parameters of the dampers instead of devices to design the buildings in the common situation. then a one - freedom modal is used to compare the differences of performance between these two dampers under harmonic load. finally, three buildings, which are installed with viscoelastic dampers, viscous dampers and no dampers respectively, are analyzed using finite element method, time history method and response spectrum method, and the result is the same as that of harmonic analysis
如果支撐剛度較小，應採用本文推倒的公式計算阻尼裝置的性能參數；利用單質點模型進行阻尼結構在簡諧荷載作用下的性能分析，並比較了粘彈性與粘滯阻尼結構在振動控制方面的性能差異；最後利用數值方法分別對未安裝阻尼裝置結構，安裝了粘彈和粘滯阻尼裝置的三種結構進行了反應譜和時程分析，得到了與理論分析一致的結果。On the numerical methods for the discrete - velocity kinetic equations i. semi - implicit difference scheme
離散速度動力學方程組的數值方法研究半隱式差分格式Inversion analysis of measured displacements is used extensively in geotechnical engineering, structural engineering, information construction, and trauma diagnosis, etc. in this dissertation, parameters identification of original geostress and medium physical property in cavern, slope, tunnel and dam are taken as a cut - in point. macroscale inversion analysis of displacements and numerical solutions of inverse problems of mechanics are researched profoundly. scientific theories of multiscale problems are connected with numerical inversion approaches
本文以地下洞室、邊坡工程、隧道工程與大壩等領域的初始地應力參數和介質物性參數識別為切入點，對宏觀尺度位移反演分析和力學反演問題數值求解方法進行了比較深入的研究，並將多尺度問題科學理論和反演數值方法聯系起來，初步探討了結構性承載材料（如巖石、骨材料等）的多尺度力學模型及其反演方法。This thesis derives three algorithms for solving large indefinite symmetric sparse linear systems on the basis of lanczos method
本文研究求解大型對稱不定線性方程組的數值方法，在lanczos演算法的基礎上提出了三個改進的演算法。Various numerical method, standard algorithm, using library routines
數值方法、標準演演算法、利用現來副程式庫之能力。To evaluate accurately the ability of radar in evaporation duct environments, a method is proposed which is combined the electromagnetic waves propagation numerical equation with the theories of radar receiver
該文主要針對如何準確評估蒸發波導環境下雷達的探測能力問題，利用電磁波傳播的數值方程並結合雷達接收機理論，構建了雷達探測定量評估的模型和方法。分享友人