曲線求積法 的英文怎麼說

中文拼音 [qūxiànqiújīfǎ]
曲線求積法 英文
volume curve method
  • 曲 : 曲名詞1 （一種韻文形式） qu a type of verse for singing which emerged in the southern song and ji...
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 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...
  • 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...
  • 曲線 : [數學] curve; bight; bought; profile; net曲線板 french curve; irregular curve; curve board; splin...
  1. Presents a new method for fairing of curves which has a small flexibility based on fitting the derivative of second order of curves. we fit the derivative of second order of curves by a polynomial fitting, then find an indefinite integral of this polynomial to get a approach of curves. otherwise, we discuss the analyze of the error and the optimize of fairing to this arithmetic

    提出了一種針對小撓度曲線的逆向曲線光順演算法，該演算法直接擬合曲線型值點列的二階導數曲線，然後通過兩次積分來反求出光順后的曲線，並對該演算法的誤差分析、效果分析、光順優化等問題進行了深入探討。
  2. For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures

    對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。
  3. 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。
  4. Abstract : by both the external combination of deck coefficient and designed water - line coefficient ? and the in - ternal combination of deck transformation and cross - section area curve transformation ? a new ship line is generated on the condition that cross - section area is the same as the basic ship and designed water line satisfies the need. this method needs not look for any transformation function to finish the change of cross - section area curve. it is a profitable development to the traditional lackenby method

    文摘:本文通過甲板面面積系數和設計水線面面積系數的外層疊代、甲板面變換和橫剖面面積曲線變換的自身內層疊代，在保持橫剖面面積曲線不變的條件下，獲得滿足設計水線面系數變化要求的新船型，而不必尋找橫剖面線的變換函數來實現設計水線面的變換，本方法是對傳統的母型船變換的一個有益補充。
  5. Dq method for the deflection of thin rectangular plates

    矩形薄板線性彎曲撓度的微分求積法研究
  6. By successful solution of non - linear magnetic fields and revision of the program, we can reach following conclusions : in the computation of nonlinear magnetic fields, if iteration method is used, under - relaxation is necessary when amending the permeability distribution in soft magnetic materials ; and when < wp = 5 > calculating the equivalent current density in permanent magnets, under - relaxation is not a necessity ; when searching for permeability values by interpolation method on the demagnetization curve of soft magnetic materials, if a fixed saturation point is set, around this point an abrupt change of permeability values will be obtained ; this sudden change may cause a little problem in the smoothness of magnetic field distribution ; because the magnetic circuits of microwave tubes are too complicated, in the author ' s view, to describe the working state of a magnet system, the working points of magnets can not do it properly but average energy production of magnets will serve ; as to indicate the quality of a magnet system design for microwave tubes, the efficiency of magnetic energy utilization will be a very good criterion

    由此得出結論，在非線性磁場計算中：採用迭代法的情況下，在各迭代循環之間進行磁導率修正時，一個欠鬆弛迭代過程是必需的；對永磁體中的等效電流修正時可以不作欠鬆弛迭代；在純鐵的磁化曲線上指定某一個固定的磁感應強度為磁飽和值，會使得插值求出的磁導率在該磁飽和值附近有一突變，這一突變對計算結果中磁場分佈變化的光滑性稍有影響。在微波管磁系統設計中，由於微波管磁路比較復雜，作者認為磁體的工作點並不能很好地反映磁體的工作狀態，而採用平均磁能積為衡量磁體工作狀態的標準更加符合微波管磁系統的實際情況；要表示磁系統設計好壞的程度，則用磁能利用的效率為標準更好。
  7. 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。
  8. The integrands in the dispersion equation are not integrable in general, so we used the asymptotic expansion solution to analyze the behavior of the dispersion relation at the singularity and mapped the dispersion relation curves approximately the system composed of collisionless particles which obey maxwellian distribution or all kinds of degenerate distribution, even in their mixture system, their dispersion relation are analogous

    一般來說，色散方程中的被積函數都是難以求積的，本文是用函數逼近法分析色散方程在奇點處的行為，並大致劃出色散關系曲線。由無碰撞粒子組成的系統，不管初始分佈是maxwell分佈還是各種簡並分佈，甚至是這些分佈的混合體，色散關系都是相似的。
  9. In the use of the recurrence definition and the matrix presentation of nurbs curve, the algorithm of curve is outlined from the correspondent algorithm of b - spline, concerning on the evaluating, derivative, integral, knots inserting and degree elevating

    利用nurbs曲線基函數的定義和nurbs曲線的矩陣表示，從b樣條的相關演算法出發，可解決nurbs曲線的求值、求導、求積演算法和nurbs曲線的節點、升階演算法等問題。
  10. As a result of the require of cagd in airplane, automobile shipping and electrical appliance etc, fairing of curves and surfaces has become the hot subject in all over the world. this paper presents a new method for fairing of curves based on fitting the derivative of second order of curves. several practicality examples has been given to show the advantage of this arithmetic

    本文針對目前曲線光順演算法存在的問題，提出了一種採用最小二乘法來擬合曲線型值點列的二階導數曲線，然後通過兩次積分來反求光順曲線思想的曲線光順演算法，並給出了實際的算例來說明本文演算法的優越性。
  11. The paper digitized curve shape parameters by rational algorithm. covert analysis from traditional qualitative to quantitative. inherit the traditional method, and suitable for computer deal with large number of data

    通過合理的數學演算法將測井曲線中反映沉積環境的曲線形態參數數字化，從傳統的定性分析轉變為定量化分析，繼承了傳統定性分析的思路方法，又適合計算機處理大量數據的要求。
  12. On the assumption of ignoring the distortion of thickness, this paper determines the rough shape by the geometric modeling method of equal area developing using mixed mesh cell of triangle and quadrangle for the first time, presents the equal area developing arithmetic of quadrangle - triangle. on the virtual geometric symmetry axis, we puts forward the method of determining the developed coordinate of the point on the base band in the development of using regular quadrangle cell, determines the developed shape of internal structure in plane utilizing point - to - point mapping theory. furthermore, we realize the approximate developing of undeveloped - irregular boundary surface using a few triangle cells

    本文結合型號研製中小曲率機翼整體壁板類零件坯料展開課題，基於板料厚向變形忽略不計的先驗假設，首創混合四邊形-三角形網格等面積展開的幾何模擬法確定壁板類零件毛坯外形，給出了混合四邊形-三角形網格等面積展開演算法；提出了虛擬分割線的概念，採用虛擬幾何對稱軸，給出了規整四邊形單元展開基帶上結點的計算方法；採用映射原理和求交演算法確定了壁板內部結構信息的展開定位。
  13. During the above iteration, the stress resultants of the concrete in the cross section are evaluated by integrating the concrete stress - strain curve over the compression zone, while those of the structural steel and the steel reinforcement ( if any ) are obtained using the fiber element method

    迭代計算過程中混凝土的截面抗力通過對混凝土應力-應變曲線在截面上的精確積分求得，而型鋼和鋼筋部分的截面抗力則採用纖維元方法求得。
  14. Especially, a deep research is paid to integral. an algorithm for computing area of regions bounded by quadratic nurbs curves is presented

    特別是對由求積演算法深入地研究，可進行二次nurbs曲線下面積的計算，並導出面積的精確計算公式。
  15. The inelastic demand spectra are established according to the new chinese seismic design code for buildings by means of force reduction factor r and ductility factor u, thus, a simple and practical method is established for seismic damage assessment in combination with capacity spectrum method ; the structure ' s push - over curve of second earthquake is gained by cutting the curve of quasi - test reversal load pattern method, thus, the structure ' s cumulate damage level can be computed by the capacity spectrum method too ; the results of an example are compared with the facts, and the validity and simplicity of this method is approved

    利用r -關系基於抗震規范彈性反應譜建立了能力譜方法中的需求譜，並將該法和能力譜方法結合，建立了一種簡單實用的結構損傷評估方法；對擬靜力循環往復加載曲線的截取，得到了第二次地震作用的push - over曲線，從而能夠繼續使用能力譜方法得到結構物的累積損傷值；通過算例闡述了該法的計算步驟，所得結果符合基本規律，且具有概念明確、簡單實用的優點。
  16. Compared with the scroll compressor of traditional circle profile, it has the advantages of high efficiency, little leakage and high quotient of volume using. the research work is given as follows. a whole volume theory for the scroll chamber working process of new type combination profile compressor is set up

    論文的研究工作主要表現在以下幾個方面:論文對新型分段組合曲線渦旋壓縮機的容積理論進行了論述，系統地研究了組合曲線渦旋壓縮機各個壓縮腔容積的求解方法。
  17. Abstract : a new algorithm of area filling of geometry graph has been proposed. in this algonthm based on the area calculating theory of closed graph with curvilinear integral. the redundant judgement of inner pixels in the area has been eliminated and the defect of polygon area filling algorithm, which has some limitations to the graph shape, has also been overcome

    文摘:基於曲線積分求封閉圖形區域面積的基本原理，提出了一種新的幾何圖形區域填充演算法.該演算法不需要對區域內點進行重復判斷，也克服了多邊形填充演算法對區域形狀有一定要求的缺點
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