求積分法 的英文怎麼說
中文拼音 [qiújīfēnfǎ]
求積分法
英文
method of quadrature- 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
- 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...
- 積分 : 1. [數學] integral; integrate; integration 2. [體育] (積累的分數) accumulate points
-
Application of differential quadrature method to space axial symmetry problems in elasticity
微分求積方法在彈性力學空間軸對稱問題中的應用Then the finite element equations are derived with the effective heat capacity method. common time - stepping method and precise time integration ( pti ) method are used to solve the equation
然後基於等效熱容法推導了伴有相變過程的傳熱控制方程的有限元列式,並且分別研究了用常規的時間差分法和精細積分法求解上述有限元方程。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。Then, use the direct integral calculus method of newmark to solve solution, and get each node and element ' s displacement and stress solution vs. time
然後,用newmark直接積分法進行求解,得到各節點和單元的位移、應力的時程解。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。Adopted numerical value integral method into the explain of the basic heat - conduct differential equation based the stabilization flow. get temperature changes rule of the cold - blowing and hot - blowing period of the cold - cumulating and dry - able tin
採用數值積分法對基於穩定流的基本傳熱微分方程組進行求解,進一步了解了影響蓄冷器效率的主要因素。This paper introduces three methods to find solutions to second - order constant coefficient inhomogenous linear differential equation, namely multinomial method, ascending order method and integration method
摘要求二階常系數線性微分方程特解的方法雖然有許多種,但用多項式法、階數上升法、積分法求二階常系數線性微分方程的特解是比較簡便的。The highly precise direct integration scheme is used for solving modal dynamic differential equation of the structure and a dynamic load identification method by the modal respondence is proposed
採用無條件穩定的精細逐步積分法求解結構的模態動力學微分方程,構造了通過結構的模態響應直接反求荷載列陣的迭代演算法。The precise integration of time invariant system is proposed for the riccati equation of h optimal control, so that its parameter of induced norm - 2 can be computed up to the computer precision
在此基礎上對時不變系統給出了精細積分法,可以求出幾乎是計算機精度的最優參數2 。In order to resolve the question, in the thesis a simulation arithmetic of hydro - electrical system is put up. the equations of hydro - electrical system are divided to two parts, one of which consists of the differential equations of conduit system, hydro turbine and generator ' s rotator and is solved by characteristic equation arithmetic, the other of which consists of the differential equations of generator, magnetic system and grid and is solved by longge - kuta arithmetic or covert integrated arithmetic. through the alternative solving of the two parts, the simulation results of the large - disturbance transient could be abstained eventually
為解決這一問題,本文提出了一種將水力系統和電力系統方程交替求解的水電系統聯合模擬演算法,即將包括輸水系統、水輪機以及機組轉子等部分的水力系統差分方程作為一部分,將包括同步發電機、勵磁系統以及電網等部分的電力系統微分方程或差分方程作為另一鄭州大學工學碩士論文部分,對前一部分採用特徵線法求解,對后一部分根據模型形式採用龍格一庫塔法或隱式積分法等演算法求解,這兩部分的求解過程交替進行,最終即可得到水電系統大擾動過程的模擬結果。An important method for evaluating integrals is a change in variables.
求積分值的一種重要方法是變量代換法。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。With the using of microsoft visual basic 6. 0, a multimedia computer - aided design system of small type pumping irrigation district is developed in this paper. provided with the live multimedia messages as well as a good man - machine conversation mechanism, this system can help the user to finish the planning of an pumping irrigated area such as the layout of canal system, the selection of pump models, the establishment of the irrigation program, the calculating of canals " parameters, the estimate of the project magnitude, the selection of the field constructions, the economic analysis of the project, the output of results, etc, a new oo ( object oriented ) programming method is adopted in this system, various softwares are integrated in this systems as well by the " automation " technic provided by vb, in addition, the multimedia technic is applied to this system for the first time, it makes the system easy to ope rate. as for the optimization of the canals " section, a new optimization method is adopted based on the existing theories about the canals " section, and in this way, with the purpose of minimizing the project ' s investment as well as a stalized canal, limited by the longituding slope, the canals " best feasible parameters can be deduced. furthermore, a integral method to reckon the earth work is developed in this paper, by this way, the estimate precision of the earthwork is enhanced notably. this paper includes the particular illumination for the developing procedure of each systems " segment, and in the end, the directions of the system are demonstrated in a sample area which lies in the zhaija village, taizhou city, jiangsu province, the running results showed that the initial purposes are achieved effectively, and it has a preferable practicability
在渠道縱橫斷面優化方面,本文在利用已經比較成熟的縱橫斷面優化理論的基礎上,提出以工程總費用最小為目標函數,以渠道縱坡i為控制變量,以渠道不沖不淤流速及灌區允許地面比降為約束條件,通過縱橫斷面聯動優化的方法得到渠道的最佳工程可行的斷面參數。另外,針對部分地區的取土困難的狀況,本文採用積分法計算渠道工程土方量,從而大大提高了土方量的估算精度,有助於準確控制工程投資規模及資金投向。本文詳細闡述了該系統所採用的編程方法、系統構成、系統各組成模塊的開發過程以及灌區規劃所採用的優化方法及原理,最後應用本系統對泰州市翟家村機電灌區進行規劃設計,運行結果證明其操作比較簡便,界面友好,運行速度快,規劃成果合理,基本達到了系統預定的要求,具備較強的實用性。This text completely and systematically studies the status and the development of the pyrolysis and the fluidization of biomass, which distill the bio - oil in the domestic and international area, as well as the existing problems. this thesis primarily include following aspects : ( l ), by experimenting and measuring the energy ( heat value ) and the content of c, h, n chemical element of right 20 kinds of common biomass, on the base of the experimental result, and respectively established the biomass energy predict experiment formula with the element of h and c is from change, and passed the ro. os examination, which provides the basis and convenience for flash pyrolysis fluidization device energy to convert the rate to compute with biomass energy utilization calculation ; ( 2 ), proceeded the tg and dtg experimentation equal velocity ( 10 ? / min, 20 ? / min, 40 ? / min, 60 ? / min ) heating and constant temperature heating by studying on eight kinds of biomass samples, according to the experimental data and arrhenius formula, we established the dynamics model of pyrolysis of, then, using the goast - redfern and p function, we also solved the dynamics parameters and analyze out every kind of biomass ' s frequency factor and parameters of activation energy, and established the every kind of dynamics model of pyrolysis of biomass, all of these provide the theories and basis to make sure the reactor ' s flash pyrolysis work temperature scope design and the describing of pyrolysis reactor dynamics ; ( 3 ), in order to study and ascertain the process of heat completely getting to pyrolysis time of varied size biomass particles, we observed and measured the ratio of length and diameter ( l / d ) with the varied biomass through electron microscope, we concluded the l / d ratios usually is from 5. 0 to 6. 0, the average is 5. 3 ; ( 4 ), we studied the process of biomass transiting and the theory of complete pyrolysis time with the theory of complicated heat field, we got the time ( t ) of the varied size biomass particles arriving to complete pyrolysis, and we knew that the complete pyrolysis time and the time which get to the biggest production ratio are identical, all of these studies provide the theory base for design and forecasting the flash pyrolysis reactor solid state resort time ; ( 5 ), according to the above experiment result, synthesize to make use of the engineering the mechanics, engineering the material, machine the design to learn the principle, deduce, establish the theory of rotation cone flash pyrolysis reactor material resort time ( t ) and reasonable rotation velocity ( or frequency ) relation theory ; and ( 6 ), we gave the reactor ' s smallest cone angle certain, reactor cone wall strength design theory, the reactor production ability theory, the power design method and the critical rotation velocity theory
本文較全面、系統地綜述了國內外生物質熱解液化制取生物燃油技術研究發展現狀及存在的問題,主要研究內容有: ( 1 )實驗、測定了20種常見生物質的能量(發熱量)和c 、 h 、 n元素含量,根據實驗結果分別建立了以h和c為自變量的生物質能量預測經驗公式,並通過r _ ( 0 . 05 )檢驗;為閃速熱解液化裝置能量轉化率計算和生物質能量利用率計算提供了依據和方便; ( 2 )選擇了8種生物質試樣作了等加熱速率( 10 min 、 20 min 、 40 min 、 60 min )和恆溫加熱的tg和dtg實驗,根據實驗數據和阿倫尼烏斯公式建立了生物質熱解反應動力學微分方程,並採用goast - redfem積分法和p函數對其動力學參數進行了求解,解析出各種生物質的頻率因子和活化能參數,進而建立了各種生物質的熱解動力學模型,為科學確定反應器的閃速熱解工作溫度范圍及熱解反應動力學描述,提供了理論和依據; ( 3 )為研究和確定不同尺度的生物質顆粒中心達到全熱解的時間,在體視顯微鏡下對不同粒度的生物質顆粒的長徑比進行了實驗觀察和測定,得出生物質的長徑比( l d )一般在5 . 0 6 . 0之間,平均為5 . 3的結果; ( 4 )採用復雜溫度場傳熱學理論對生物質傳熱過程及充分熱解時間理論進行了研究,解析推導出了不同尺寸生物質顆粒中心溫度達到充分熱解溫度的時間( t ) ,得出了理論推導的充分熱解時間與最大產油率的熱解時間相一致的結果,為閃速熱解反應器固相滯留時間設計和預測提供了理論依據; ( 5 )根據上述實驗結果,綜合運用工程力學、工程材料、機械設計學原理,推導、建立了轉錐式閃速熱解反應器物料滯留時間( )與轉速(或頻率)合理匹配理論; ( 6 )提出了轉錐式閃速熱解反應器的最小錐角設計、錐壁強度設計、生產能力設計理論和功率計算方法及臨界轉速理論等。A new step - by - step integral procedure of dynamics equations is presented. the general expression of the solution of dynamics equations is obtained on the basis of the homogenous analytical solutions of dynamics equations and duhamel integration. the explicit analytical integration algorithm, which is characterized by fourth - order accuracy, self - starting and self - correcting, is employed to discretize the equivalent load terms
另外提出了求解動力學方程的一個新型的逐步積分法,基於線性動力學方程的解析齊次解及duhamel積分,構造出適用於非線性動力學方程解的一般積分表達式,對包含非線性項的非齊次項採用插值近似的方法,得到一個單步顯式、自起步、預測校正具有四階精度的解析逐步積分演算法。This paper analyzes the cause of draw internal force diagram, provides the new methods for answering internal force diagram, which is convenient in practice
摘要文章分析了用半圖解積分法在繪制內力圖中存在的問題,提出一種新的思維方式來求解內力圖。A new approach, which is direct integration method with integral model ( dim - im ) to solve dynamic governing equations, is developed
藉助分塊積分的概念,得到了一個求解線性動力學方程的積分型(相對於差分而言)直接積分法。Applied the precise integration method to solve stiff equations and nonlinear equations, and improved the method from explicit and implicit aspects. it found that the exact solution of some differential equations may be obtained, and always stable absolutely
將之應用於剛性方程及非線性方程的求解中,並對非線性方程的求解從顯式和隱式兩個方面給出了改進措施,得出:使用精細積分法可以給出某些微分方程的精確解,且絕對穩定。B. based on the precise integration method for structural dynamic systems proposed by zhong wanxie, an adaptive precise integration method for nonlinear time - invariant structural dynamic systems was proposed in this paper
第二、在鐘萬勰院士提出的「精細積分法」的基礎上提出了求解非線性結構動力方程的自適應精細積分法。Academician prof zhong wan - xie presented precise integration method firstly in 1993, and ordinary differential equation can be solved precisely by this method. in this article, improved precise integration method is given firstly. then on the basis of improved precise integration method, a new method for calculating the response of dry friction system is presented, and the calculation precise degree of this method is tested by the comparison with ihb method
1993年鐘萬勰院士提出了精細積分法,它可以精確求出常系數常微分方程的數值解,本文首先提出精細積分改進演算法,進一步提高了其計算精度,然後在改進的精細積分法基礎上對于摩擦系統響應的計算方法進行了研究,並用ihb法對這種計算方法的計算精度進行檢驗,結果證明這也是計算干摩擦隔振系統響應的有效方法之一。分享友人