方程根 的英文怎麼說
中文拼音 [fāngchénggēn]
方程根
英文
root of equation-
Fist of all, on the basis of the research of agone boffins, this author investigates the interaction mechanism of bolts and rock, and introduces the elastic ? lastic analytical resolution which is consist of the liner structure, the equivalent reinforced wall rock and the original wall rock in the simple loading from the equivalent well - proportioned view ; this solution is very important meaning for the engineering design. on the basis of coulomb friction model, the author introduces the finite element equation of the contact problem in order to provide the academic foundation for the application of msc. marc. finally, combining the engineering practice of the non - linear analysis of shield tunnel through yellow river of the south - north water transfer and using the model of friction, the author researched the evolution law of stress and displacement field in the structure of grouted rock bolts, and analyzed the effect to the stress and deformation of surrounding rock mass due to anchor supports
首先，在前人研究成果的基礎上，對錨桿與圍巖的相互作用機理進行研究，利用全長錨固錨桿的中性點理論，從等效均化的角度來考慮錨桿對圍巖的加固作用，並推導了在簡單荷載作用下，含有襯砌、等效加固后的圍巖、原始圍巖三者的彈塑性解析解，對工程設計有著重要的參考意義；在數值模擬方面，以考慮錨固圍巖滿足規則化庫侖摩擦模型為基礎，利用虛功原理推導了接觸問題的有限元方程的計算格式，為開發運用大型商用有限元軟體msc . marc提供了理論根據，也形成了本文的理論基礎：最後，論文以南水北調東線穿黃隧洞穩定性分析項目為工程實例，利用本文所述的接觸問題的摩擦模型理論，對錨桿支護結構的應力場、位移場的變化規律進行了研究，分析了加錨支護對隧洞圍巖應力、變形的影響。Static mathematic model of drum accommodation and control is presented, and instruction model control strategy of sample intervals is presented based on differences between characteristic equations of lifting frame and characteristic equations of top and bottom board change among the sampling spots, the rules of this method are few, simple, easy to operate and meet controlling demands
給出了滾筒調控靜態數學模型，並根據調高機構的調控特徵方程與采樣點間頂底板變化特徵方程的差異，給出了在其采樣區間內的指令式控制策略，其方法的規則條日少、簡單易運算、符合實際控制要求。Analyse the tooth geometry of klingelnberg cyclo - palloid spiral bevel gear., according to the relative position and kinematic relation of the cutter heads, virtual crown gear and the processed wheel blank, established the system of coordinates of the gear cutting, dedcuced the tooth face equation of the virtual crown gear, according to relations of the gear cutting and space theory of engagement, deduced the tooth face equation of klingelnberg cyclo - palloid spiral bevel gear, and drawing the three - dimensional graphs of the virutal crown gear and klingelnberg cyclo - palloid spiral bevel gear according to the design and setting parameters
對克林貝格擺線齒錐齒輪進行齒面幾何分析。根據銑齒加工中刀盤、搖臺和輪坯的相對位置和相對運動關系建立了切齒嚙合坐標系，由矢量的旋轉推導了產形輪齒面方程;根據空間嚙合原理和切齒嚙合關系推導了被加工齒輪的齒面方程;由設計參數和銑齒調整參數計算得到齒面離散數據，繪制了產形輪和擺線齒錐齒輪的三維齒形。By means of constructional iterative equation, this paper presents a way to give out the existence and singularity of a type of equational root with gradual approach method
摘要本文通過構造迭代函數，利用逐次逼近的方法給出了一類方程根的存在性與唯一性的判斷的一種解決方案。Abstract : the more precise equation of r - k was used to calculate the real gases. based on the generolized measurement of fugacity, the equation of substance ' s fugacity coefficient of mixed gqses was derived, and the results of the application was discussed
文摘:對實際氣體選擇較精確的r - k方程，根據逸度計算的普遍化公式，導出了混合氣中物質逸度系數表達式，並對其應用結果進行了討論Based on the research to the stability variable cross - section beam, the bending defection differential equation of the variable cross - section beam in critical state of bucking is established. according to the edge condition of the structure, the differential equation is solved and bucking equation of variable cross - section beam is created. we can get the algorithm which can be used to calculate the equivalent inertia moment of the variable cross - section lattice structure when it is regarded as constant cross - section of solid web beam
對變截面格構式構件的穩定性計算進行了初步的研究，通過建立變截面構件臨界狀態下彎曲變形的微分方程，根據變形邊界條件，得到了兩端鉸支的變截面梁失穩特徵方程，提出了幾種特殊形式的變截面格構式構件等效為等截面實腹式構件時等效慣性矩的計算方法。The laser power is detected through the pd ’ s movement across the faculous region. when the value of the peak value of laser power is got, the power of the facular boundary points can be found according to definition of the facular boundary such as “ 1 / e ~ 2 ” theory. then the equation of the facular boundary can be made fitting by using the least square method, and calculate the beam divergence at last
採用兩個光電探測器分別檢測光束不同高度上的兩個光斑，在確定光斑中心最大光強值后，根據光斑截面尺寸的1 / e2定義，得到光斑截面邊界點的光強值，並以其為標準判定光斑截面的邊界點，對探測到的邊界點通過最小二乘法進行擬合，得到橢圓光斑截面的方程，根據空間幾何關系求出發散角。When analyzing skew support continuous curved box girder bridge, curved grid girder analyzing method considering warping effect is applied. matrix displacement method is applied in analyzing skew support continuous curved thin - walled box girder bridge with restrained bearing. in order to convert original rigidity equations to structural rigidi ty equations that can be solved, bearing nodal displacement matrix can be introduced, then unknown quantities at the edge of beams can be consistent with the restrained directions of skew bearings, unit rigidity matrix and unit nodal forces can be gained. structural rigidity matrix can be composed according to matrix displacement method, so nodal displacements and inner forces on the end of the rod that are unknown can be gained calculating equations of inner forces on any cross - section can be solved
分析斜支承連續曲線箱梁橋時，採用考慮翹曲作用的曲線格子梁分析方法，應用矩陣位移法對具有約束支承形式的斜支承連續曲線薄壁箱梁橋進行分析，考慮到支座的約束條件並不與梁端彎曲角位移和扭轉角位移的方向一致，引入支座節點坐標矩陣，使得梁端的位移未知量與斜支座約束方向一致，來計算單元剛度矩陣和單元節點力，然後按照矩陣位移法組集總剛並建立結構剛度方程，根據結構剛度方程即可求解未知的節點位移及桿端力，推導出任意截面處的內力計算公式。Seasonal dynamic model is introduced to analyze and evaluate tianjin raw water quality of luanhe river during 10 years for the first time, and so does for huanghe river during 4 years. based on these historical data, some long - term trend function of water quality items is got, by which seasonal fluctuation rate ( s c ) and seasonal dynamic trend of water quality items are computed. for the first time, clustering analysis is introduced to divide tianjin raw water into different levels
首次採用季節變動模型對天津市灤河水源10年的水質情況和黃河水源4年的水質情況進行了分析評價，得出各個水質指標的長期趨勢項回歸方程，根據趨勢模型和各水質指標的歷史數據求出季節比sc ，在各個指標的季節平均值和對應的季節比（ sc ）的基礎上，得到了各個水質指標的季節變化趨勢值。When the author sets up the mathematics model with describing the process of two - dimensional debris flow, he develops the continuity equation by the law of conservation of mass and establishes the momentum equations by the law of conservation of momentum. the author makes full use of the advanced computer technologies, establishes the finite difference equation of numerical simulation by the differential operator fission method, and writes programs for computers which contact friendly with the other programs. the parameters are directly input on the keyboard
在泥石流堆積數值模擬方面，作者以前人工作成果為基礎，在建立數學模型時，根據質量守恆原理，推導建立了泥石流連續性方程，根據動量守恆原理，推導建立了泥石流運動方程;在數值解法上，充分利用高速發展的計算機技術，採用運算元分裂法建立數學模型的差分格式，開放式編製程序，人機對話方式設置參數，計算機程序具有通用性、可擴展性和易維護性。By means of trigonometrical progression method and the mainline track spectrum, the sample function of the chinese mainline railway track random geometric irregularity is simulated. with the data obtained from track geometry inspection car on qinhuangdao - shenyang special line for passenger transport and arma time series model, the sample function of high - speed railway track random geometric irregularity are simulated. based on existing literature, the artificial bogie crawl waves at various different speeds are randomly simulated
根據我國干線鐵路軌道譜，採用三角級數法模擬出干線鐵路和準高速鐵路軌道不平順的樣本函數；根據秦沈客運專線高速試驗段軌檢車資料，採用arma時間序列模型模擬了高速鐵路軌道不平順隨機樣本函數；在既有研究資料的基礎上模擬出各種速度客車構架人工蛇行波；用隨機變量描述道床橫向剛度，並進行了隨機模擬；將振動理論和穩定理論結合建立系統的分析模型和運動方程；根據monte ? carlo法編制了車輛?軌道耦合系統隨機振動分析程序，進行了無縫線路隨機動力響應分析，通過試驗對計算模型、計算方法進行了驗證。Considering the fuzziness of some boundary conditions enviroment media, and especially some loads in the engineering structure analysis, we go further into the computation based on the dynamic problem of fuzzy finite element ( ffe ), study further and systematically the analysis and solution. the principle of fuzzy minimum potential energy is established, and the balance equation of fuzzy finite element is reasoned by making fuzzy variation. at the same time, the dynamic balance equation of stochastic by making stochastic variation ， also the fuzzy stochastic dynamic balance equation is deduced. based the theory that the degree of the fuzziness and probability can be measured, in the other word, by using the concept of fuzzy entropy and entropy, pure fuzzy dynamic structure is given through transforming the probability to fuzziness. for the fuzzy parameter can be regarded as a fuzzy vector with dimensions, the structure ' s eigenvalue, by the theory of small parameter
建立了模糊瞬時最小勢能原理，運用模糊變分原理導出了模糊有限元動力平衡方程；同時，利用隨機變分原理導出了動力問題的隨機有限元方程，同時得到了模糊隨機動力問題的有限元平衡方程。根據模糊度和概率度可以度量的原理，即利用模糊熵和概率熵的概念，把結構的隨機性等效地轉化為結構的模糊性，得到純粹模糊性的動力結構。把結構所具有的模糊參數看作一個維的模糊向量，利用小參數攝動原理，把結構的特徵值，特徵向量和位移都在模糊向量的均值處進行泰勒展開，得到一組遞歸方程，即可以求得結構的模糊特徵值，特徵向量和模糊位移。The cubic law which describe the law of fluid flow in fracture is based on parallel plate joint model, in this paper the cubic law is modified and non - parallel wedge - shaped joint fluid flow equation is formed, coupling relation between seepage and stress is given based on permeability and joint distortion as the linkage between two field, while the coupling mechanism is simple and explicit
描述裂隙水流運動規律的立方定律是建立在平行板裂隙模型基礎上得出的，本文對立方定律進行了修正，推導了非平行楔形裂隙水流方程，根據滲透性和裂隙面變形關系給出了單裂隙滲流與應力耦合公式，耦合的機理十分簡單、明確。Certificate of the existence of formula root
例說方程根存在的證明To solve the polynomial equation ? ( z ) = 0, this paper proposes a simultaneous iteration and investigates its convergence and initial condition. it proves that the convergence has order 3 under the initial condition
摘要採用文[ 1 - 3 ]中提到的加速方法，對經典的牛頓迭代法進行加速，得到了一個新的求多項式方程根的迭代法，主要對其收斂性進行了分析，得到了在較好的初始條件下該法是3階收斂的。Technology of non - damage test for concrete intensity is extensively applied in project testing, as a precise and direct approach. accordingly, the test in this essay makes use of average concrete samples made up of commo - n raw material in boutou, and adopt comprehensive method of ultrasonic elasticity to test the concrete used within one year in boutou. through the regression analysis, we get the regression equation of anti - intensity of these two materials under the given conditions. according to the result, we establish the accurate curve line for comprehensive method of ultrasonic elasticity and provide practiced and non - damage testing approach and calculating method for concrete intensity test and reference for testing staff concerned
混凝土強度無損檢測技術作為一種簡便快捷準確的測強技術在工程檢測中得到了廣泛的應用，鑒於此，本次試驗通過採用包頭地區常見原材料製成的一定批量常見齡期的不同種類（指混凝土試塊中的粗骨料、混凝土強度等級不同）普通混凝土標準試塊，採用回彈?超聲綜合法對包頭地區齡期不超過一年的現場混凝土進行了大量的試驗，並利用回歸分析，給出兩種骨料混凝土在相應測強條件下的立方體抗壓強度回歸方程，根據實驗結果建立包頭地區精度較高的混凝土回彈?超聲綜合法基準測強曲線，為實際工程的混凝土現有強度評定提供簡單易行的無損測試方法和計算方法，供有關檢測人員參考使用。Based on the cutting force surface model, a polynomial equation of side cutting depth and feedrate is created to calculate the feedrate of each cl data and the calculated feedrate value is written out with the g - code position data block to an updated version of the die - cavity
基於切削力曲面模型，採用多項式擬合的方法構建刀具在許可切削力下的側向切深和進給率的方程，根據建立的方程計算每個刀位點處的進給率並反寫到初始的g代碼文件中。Firstly, based on research of the asymmetric involute gear cutter and the gearing theories, the universal tooth flank curve equations of asymmetric gear with two pressure angles and the tooth transmission curve are derived by the gear shape nomal method, then the fea model of asymmetric involute gear with main parameters is automatically generated with ansys parametric design language ( apdl )
本文首先建立非對稱漸開線刀具的方程，根據齒形法線法建立非對稱漸開線齒輪的齒廓曲線方程，並利用apdl參數化建模語言建立全參數的非對稱漸開線齒輪有限元模型。討論了非對稱漸開線齒輪的嚙合特性，對非對稱漸開線齒輪傳動特點作了詳細的分析。Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows : 1. the optimization model of parameter identification of three - dimensional geologic history numerical simulation, algorithm and its application geologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil - bearing basin. according to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porosity ' s non - linear parabolic partial differential equation has been established
本文應用現代最優化及最優控制理論，對如下一些問題進行了研究： 1 、三維地史數值模擬的參數辨識優化模型、演算法及應用地史模擬是盆地數值模擬的一個基礎性的研究內容，地層孔隙度是含油氣盆地地史演化發育過程中的重要參數，根據地層沉積埋藏機理和石油地質的物理化學原理，通過引入數學物理方程概念，建立了泥巖三維孔隙度場方程，根據問題的特點，給出了方程的定解條件，對方程的動邊界也給出了處理方法，並且證明了解的存在性與惟一性，在此基礎上建立了以當今實測數據為擬合準則的三維地史數值模擬的參數辨識優化模型，這是一個含有二階偏微分方程約束的泛函極值問題。The out - of - plane stability of bending beam, which is made up with 2 beams and loaded by non - directional force, is studied. the bending and torsional deflection differential equation of each beam is established in critical condition. according to compatibility conditions of deformation, the characteristic equation is obtained to calculate out - of - plane stability of the cantilever bending beam
對兩節梁組成的彎曲梁在非保向力作用下的平面外失穩問題進行了研究，通過建立每節梁臨界狀態下彎曲和扭轉變形微分方程，根據桿件變形的邊界條件以及桿件之間的變形協調關系，得出了一端固定一端懸臂的彎曲梁在非保向力作用下平面外失穩的特徵方程。分享友人