node equation 中文意思是什麼
node equation
解釋
節點方程-
The relation of radius of curvature and error as well as formulas of increasing parameters on condition of constant error are diverted. the equation of the line on the center of approximate circular arc is obtained ， and it can avoids the trouble that numerical solution owns possibility of no convergence and simplifies node calculation of non - circular curve
導出了曲率半徑與逼近誤差之間的關系和等誤差條件下的參數遞推公式，建立了通過逼近圓弧圓心的直線方程和圓心坐標計算公式.按這種方法用圓弧逼近平面參數曲線，不需要求解非線性方程組，避免了計算可能不收斂的麻煩，簡化了非圓曲線的節點計算過程 -
In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay
本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。 -
The 16 - node degenerated iso - parametric element is proposed for the analysis of raft foundation with mid - thick plate. the stiffness matrix of single pile among the pile group can be founded assuming the total contact between the plate and the foundation. and the results of stress and deformation of plate, the force on pile and the settlement of pile bottom can be solved after the finite element disperse for the plate and the establishment of balance equation of pile - raft interaction
在引入16節點退化等參元的中厚板筏板分析模型的基礎了，假定筏板與地基間完全接觸，建立了群樁中單樁樁身剛度矩陣，繼而對筏板進行有限元離散得到樁筏共同作用的平衡方程，從而求解筏板內力、撓度、樁頂反力、樁端沉降等一系列結果。 -
The third chapter of the thesis makes a study of the equation of interest rate - amount, of circulating fund on limited occasions of sudden events, proves that the network average interest rates of different time periods are also different and change with the impulsive conditions, and makes clear the relationship between the network average interest rates of two neighboring time periods. as far as every node in the network is concerned, its instant interest rate will tend to, in the end, at the sum of the basic interest rate of every node and the growth rate of the network
本文第三章研究了出現有限次突發事件時的利率?流通量方程，證明了不同時間段的網路平均利率也不相同，並且，隨脈沖條件的變化而變化，同時給出了相鄰兩個時間段網路平均利率之間的關系，就網路中每個結點而言，其即時利率最終穩定於結點基本利率與網路增長率之和。 -
In the second part, we try to apply orthogonal polynomial approximations to the dynamical response problem of the duffing equation with random parameters under harmonic excitations. we first reduce the random duffing system into its non - linear deterministic equivalent one. then, using numerical method, we study the elementary non - linear phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, period - doubling bifurcation and chaos
本文第二部分嘗試將正交多項式逼近方法應用於隨機duffing系統，提出與之等價的確定性非線性系統的新概念，並用數值方法對該系統在諧和激勵下的鞍結分叉、對稱破裂分叉、倍周期分叉、和混沌等各種基本非線性響應進行了初步探討。 -
By assigning a " split ratio value " on the singular node, the singular equation in the network can be preserved
另外為避免移除奇異方程式所造成的問題，在本研究中提出兩種解決之方法。 -
Based on the virtual work increment equation of updated lagrangian formulation, tangent stiffness matrix of spatial beam / truss element is obtained. according to base assumptions and catenary equation of cable, the iterative formulations of tangent stiffness matrix and nodal force of the spatial two - node catenary cable element are put forward. therefore the entire geometrical non - linear finite element theory for the analysis of suspension bridges is established
本文的研究工作和取得的主要成果有: 1 .將大旋轉小應變空間梁（桿）單元與兩節點空間懸鏈線索單元結合起來，形成了一套完整的適合於懸索橋結構分析的幾何非線性有限元計算方法。 -
Lbie, based on the local boundary equation, adopts the traditional moving least squares ( mls ) approximation which depends on only the values of the nodes in the domain of the problem or along its boundary. the whole process of integration is carried on over a local domain or its local boundary centered at the node in question. the local boundary equation can be rewritten to represent the values of the unknown function at the point of interest, and the essential boundary conditions can be directly and easily enforced by using the green formula and the characters of the dirac function
它以局部邊界積分方程為基礎，採用移動最小二乘近似函數，從而只需要分佈在問題域內及其邊界上的節點的信息值，無需劃分單元；整個積分是在以節點為中心的局部域及其邊界上實現，所以不需要背景積分網格；藉助于格林公式及dirac函數的性質，將局部邊界積分方程轉化為所考慮點的未知函數的邊界積分表達式，便於直接施加本質邊界條件。 -
The viewer also displays the regression equation, which is used to determine the split in the node
查看器還顯示用於確定節點中的拆分的回歸公式。 -
We observe that in the case of ideal voltage sources, equation required for the node method breaks down.
我們注意到在存在理想電源的情況下，節點分析法的方程就失敗了。
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