equations of elasticity 中文意思是什麼

equations of elasticity 解釋
彈性方程
  • equations : 方程式
  • of : OF ＝Old French 古法語。
  • elasticity : n. 1. 彈力，彈性；伸縮力，伸縮性，靈活性。2. 開朗的性情。
  1. This article takes the lagrange equation as the principle, establishes mathematics modeling to the inertia brake vibration when it brakes, then simulates it with matlab. this paper educed the relation equations between, which are the inertia brake ' s friction coefficient of the brake ring and the friction disk, the mean radius, the braking force, rotation inertia of the driving top and the spline shaft, spiral climbing angle of the brake ' s concave - convex helicoid, the mean effort radius of the concave - convex helicoid, elasticity coefficient of the spring, quality of the driving top and the spline shaft, rotations inertia of the brake ' s rotation part besides the driving top and the spline shaft, suppresses sleeve. provides the theory basis for the inertia brake structure optimization

    本文以拉格朗日方程為理論基礎，對慣性制動器在制動時的振動進行數學建模，然後用matlab對其進行模擬，得出了慣性制動器在制動時振動角頻率分別與制動環和摩擦片之間的摩擦系數、制動力的平均半徑、主動頂和花鍵軸的轉動慣量、慣性制動器的凹凸螺旋面的螺旋升角、凹凸螺旋面平均作用力的半徑、彈簧的彈性系數、主動頂和花鍵軸的質量、慣性制動器除主動頂和花鍵軸外其他部分的轉動慣量和、頂壓套的質量等慣性制動器各零部件的物理參數之間的關系，為慣性制動器的結構優化提供了理論依據。
  2. Lastly the above stiffness matrix, the nodal variables of which are the dual of stress functions, is replaced by a new one with simple displacements vector regarded as unknown. such finite element satisfies homogeneous equilibrium equations and can pass the patch test as long as the original plane elasticity element can pass the corresponding patch test

    所得到的板彎曲單元在單元內部滿足齊次平衡方程，並且只要原始平面彈性單元能通過常應變分片試驗則轉換得到的板單元一定能通過常曲率分片試驗。
  3. About the general solution of elasticity equations in respect of stresses

    關于以應力表示的彈性力學問題的通解
  4. The paper depicts the elasticity with euler form and associates the form with depiction of behavior of fluid. the method takes the velocity as basic variables and then derives the left - deformation tensor from the velocity in order to deal with the time - independent motion. at last in this chapter the equations of the finite flow - element are set up from the principle of the virtual work

    首先建立流管元的概念，對彈性固體相關的部分採用euler描寫，並融入流體行為的描寫中；以速度為變量，反推左變形張量，用於處理流固物質的定常運動，給出了控制方程和相應的變分式；以此為基礎發展了一套相應的有限流管元演算法。
  5. A new method is introduced to derive the general solution of elasticity equations in terms of stresses

    將應力協調方程的解帶入到平衡方程，給出了應力函數通解的另外一種證明。
  6. The boundary integral equation for elasticity is derived through the general green ’ s formula and the corresponding fundamental solution. the paper represents the contact conditions, which are essential for the coupling of the boundary integral equations of the two different elastic contact bodies, in a local coordinate system properly chosen

    利用廣義格林公式和基本解得出彈性問題的邊界積分方程，採用循環迭代的方法，通過尋求與接觸條件相協調的接觸邊界位移及面力增量來確定接觸區域的大小。
  7. In chapter 2, the partial differential equations of heat transfer and the basic equations of heat elasticity theory as well as the solution with the finite element method have been explained

    第2章闡述了熱傳導的偏微分方程和熱彈性理論的基本方程以及用有限元法進行的求解。
  8. Three circumstances on the geometric non - linear analysis are considered : the sag phenomenon of cables the nonlinear behavior of bending members and the geometry change due to large displacement. the non - linear behavior of cables is verified by introduced the ernst cable modulus of elasticity and cr formation is applied to analyze the non - linear of beams. an incremental - iterative method based on the newton - raphson method is adopted here to solve the non - behavior equations

    幾何非線性分析主要考慮三個方面：索的垂度效應、樑柱效應和結構大位移，其中：索的非線性分析採用ernst彈性模量對索材料的彈性模量進行修正，計及索的垂度效應的方法；梁單元的非線性分析採用cr列式法，計算中採用基於newton - raphson法的增量迭代方法求解非線性方程組。
  9. The contents of the course include the elastic problems and associated solution procedure ; the basic concepts and assumptions of elasticity ; the solution of a planar elastic problem defined in a rectangular coordinate ; the matrix expression of basic equations of a planar elastic problem ; the solution of a planar problem defined in a polar coordinate ; the basic equations and solution procedure of a three - dimensional elastic problem ; bending of a plate ; and the variational principles of energy

    本課程的主要內容包括:彈性力學問題及其求解思想;彈性力學中的基本概念及基本假定;彈性力學平面問題的直角坐標解答;平面問題基本方程的矩陣表示;平面問題的極坐標解答;彈性力學空間問題的基本方程及其解法;薄板的彎曲;能量變分原理等等
  10. Then the equations of elastic problem are imported into the hamilton system in the plane right - angle coordinate system and a new symplectic numerical method, the symplectic difference method of elasticity in hamilton system, is put up based on the mixed equation of elastic problem. the arithmetic of the method is programmed and used in the solution of three problems of elasticity, which is sheet problem, simply girder problem and deep girder p roblem that is pressed equally in the right - angle coordinate system

    然後在平面直角坐標系下將彈性力學問題引入到hamilton體系中來，針對彈性力學混合方程建立了一種新的辛型數值計算方法? ?基於hamilton體系的彈性力學辛差分方法；並且編程實現了該方法的演算法結構，計算了三個具體的算例：受均布載荷的薄板問題、簡直梁問題和深梁問題。
  11. Other examples of systems where conservation is used to derive the model equations ( in nonlinear elasticity, fluids, etc

    其他用守恆導出模型方程的系統（非線性彈簧，流體力學等等） 。
  12. The given solution satisfies all fundamental equations of elasticity and continuity conditions between the laminates

    此解滿足層合板的基本方程和層間連續條件。
  13. Based on the basic equations of the elasticity plane problem, displacement fields and singular stress fields near the v - notch tip under mixed - mode of i and ii are obtained for homogeneous materials by a new definition of the stress intensity factors

    基於彈性力學平面問題的基本方程，通過重新定義應力強度因子，推導了均質材料-復合型v型切口尖端附近的位移場和奇異應力場。
  14. Based on the basic equations of the elasticity plane problem and the two airy stress functions in the thesis, stress singularity eigenequations and displacement fields as well as singular stress fields near the v - notch tip and the crack tip for homogeneous materials are obtained

    本文基於彈性力學平面問題的基本方程，引入兩個airy應力函數，推導了均質材料型切口尖端和裂紋尖端的應力奇異性特徵方程及其附近的奇異應力場和位移場。
  15. The solutions of 2 - dimensional theory of elasticity are decomposed by a solution with differential operators. its saint - venant ' s solution and special solution are expressed by ordinary different equations containing one variable z. the relationship is uncovered between the bend the

    在板彈性彎曲理論中，分離出了與零特徵解對應的聖維南解關于x 、 y方向的偏微分方程，分析了薄板彎曲理論與彈性彎曲理論聖維南解的關系。
  16. From the elasticity variational principle, the governing dynamic differential equations of the geometric non - linear beam with large deflection is deduced

    摘要通過彈性力學變分原理建立了大撓度非線性梁的控制微分方程組。
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