governing differential equation 中文意思是什麼

governing differential equation 解釋
支配微分方程
  • governing : 調節, 控制
  • differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. A force - method equation about unknown nodal forces of the composite beams is proposed based on the governing differential equation

    在粘結剪力和滑移微分控制方程的基礎上，建立了關于組合梁單元桿端未知力的力法方程。
  2. In the analysis of the elastic local buckling strength of the stiffener ' s web, the elastic critical stress is analytically derived by solving the characteristic value problem involving the governing differential equation under the corresponding loading and boundary conditions

    對于加筋板中加強筋腹板的局部屈曲，則用解析法推導出筋的腹板的撓度方程及其邊界條件，求解相應的方程，從而計算出腹板的局部屈曲應力。
  3. Then, we use both the method of multiple scales and the galerkin approach to give the perturbation analysis of the governing partial differential equation

    綜合運用多尺度方法和galerkin離散法對橫向振動的非線性偏微分方程進行離散和攝動分析，得到了三種共振情況下的平均方程。
  4. The equation of motion for the planar cantilever is obtained by using the theory of elastic mechanics. then, the governing partial differential equation is analyzed by two processes

    對于平面運動懸臂梁，首先利用彈性力學方法得到運動微分方程，然後利用二種方式對這個非線性偏微分方程進行離散和攝動分析。
  5. With the method of the lie group transformation, the symmetry of the equation governing one dimensional finite strain consolidation is discussed and, from the point of the symmetry, the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed. where - after exact or approximate analytical solutions focused on different consolidation problems are obtained, these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress, the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession. the implicit exact solution without considering the effect of self - weight of soil is obtained

    運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。
  6. Firstly, with uniaxial symmetrical rectangle cross section, the warping displacement function and tangential displacement function under anti - symmetrical load are supposed. then taking shear deformation into account and with potential principle, the governing differential equation for distortion angle subjected to uniformly distributed distortion load is established

    首先，以單軸對稱矩形截面薄壁桿件為研究對象，假設其在反對稱荷載作用下翹曲位移和切向位移的分佈函數，考慮剪切變形的影響，利用最小勢能原理建立單位均布畸變荷載作用下的畸變角微分方程。
  7. A plane - wave expansion method based on the effective medium theory is firstly introduced, and the new method has a better convergence than that of the pwm. as a new method for calculating the band structure of a photonic crystal, a finite difference scheme is also introduced to the governing differential equation based on the effective medium theory

    首先提出了基於等效介質理論的平面波方法，顯著地改善了平面波演算法的收斂性質；同時提出一種新的計算光子晶體能帶的有限本徵差分演算法，與已有的平面波展開法相比，新方法保留了本徵值演算法的獨特優點，同時又克服了平面波展開法的慢收斂性。
  8. Based on the review of coupling theory of porous media, a nonlinear mathematics mechanical model and the governing differential equation of the coupled problem of thermal - gas fluid - mechanical are derived from the theory of continuum mechanics and mixture theory. a constitutive equation of the porous media is obtained in the coupling processes

    在全面系統的回顧與總結多孔介質多物理場耦合分析與模擬的研究成果的基礎上，以混合物理論以及流體、應力、溫度相互作用的機理為基礎，建立溫度場、滲流場、應力場三場耦合分析的非線性數學模型。
  9. Based on the theory of thin - walled curved bar, reasonable hypothesized a third - ord parabolic curve, the paper adoptes variational method on energy, taking the coupled relationship of the effect of curvature radius, bend, torsion and shear - lag into consideration, establishes the elastic governing differential equation and boundary conditions for thin - walled curved box girders, which set the foundation of theoretical analysis of shear - lag effect in thin - walled curved box girders

    摘要文章以薄壁曲桿理論為基礎，合理地假設了三個剪力滯翹曲位移函數，應用能量變分法推導出考慮曲率半徑影響、彎、扭、剪力滯耦合的曲線箱梁彈性控制微分方程及其邊界條件，為薄壁大麴率箱梁剪滯效應建立了理論分析基礎。
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