elastic equation 中文意思是什麼

elastic equation 解釋
彈性方程
  • elastic : adj. 1. 有彈力[彈性]的。2. 伸縮自如的，靈活的。3. 機變的，輕快的。n. 橡皮線，松緊帶，橡皮圈。adv. -ally
  • 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. 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。
  2. In this paper, we give a brief introduction to the helfrich elastic theory. to solve the helfrich equation under the physical conditions of vesicles, a taylor series method is introduced, which offers a unified method to reproduce the exact solution including the famous axisymmetrical constant - curvature surfaces and the biconcave shape solution

    本文在簡要介紹了helfrich的彈性理論及膜方程的基礎上，開創性地引入taylor級數法，在軸對稱膜的邊界條件下，對helfrich膜方程以taylor級數法求解，統一地得到了目前已知的兩個特解：常平均曲率曲面和紅血球形狀解。
  3. The fatigue behavior of strength, stiffness, and deformation of concrete is analysed systematically. the fatigue equation is established. the empirical expressions of the total longitudinal strain and the elastic modulus are given, and the relationships between the increasing rate of the total second - stage strain and the decreasing rate of the elastic modulus with the cyclic number are obtained

    系統地分析了砼抗拉、拉-壓疲勞強度、剛度、變形規律；建立了相應的s - n關系，提出了縱向總應變、彈性模量的經驗公式，及其第二階段總應變增長率、彈性模量衰減率分別與疲勞壽命的關系式。
  4. In light of the elastic thin plate theory, the author induced equilibrium differential equation of bi - direction cellular slab, which was proved correct through analysis and comparison to result of ansys to with theoretical calculation. through the deflection and bending moment coefficient calculation of bi - direction cellular slab under various boundary conditions, the author brought forward the theory that the deflection of mid - span and bending moment coefficient calculation of mid - span and support of bi - direction cellular slab could be in accordance with solid plates ", which could satisfy the precision of engineering

    本文根據彈性薄板理論，導出了雙向空腹板的平衡微分方程，並通過理論計算和通用有限元程序ansys結果對比，驗證了其正確性；通過對各類邊界條件下雙向空腹板撓度和彎矩系數的計算比較，本文提出：雙向空腹板跨中撓度及跨中、支座彎矩可使用本文空腹板剛度公式查找現有的實心板撓度彎矩系數表進行計算，完全能滿足工程精度要求。
  5. 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。
  6. In this study, we applied the reversibility of elastic wave to a discussion of the reverse time propagation of wave equation

    摘要本文應用波動方程式的可逆性討論彈性波的逆時影像重建。
  7. Simply supported and multilayered magneto - electro - elastic plates : the state vector equation of transversely isotropic magneto - electro - elastic solid is established from its governing equations in a cartesian coordinate system

    對于簡支壓電壓磁彈性層合板問題，從它的基本方程出發，建立了壓電壓磁彈性層合板的狀態變量方程。
  8. Directed by wave theory of fractured media, the elastic parameters of eda medium are determined in the light of hudson - fractured theory, and christoffel equation gives the formula of the phase velocity of p - wave by which, effects of velocity on behalf of kinetic characteristic and reflection coefficient on behalf of dynamical characteristic form fractured density and azimuty is discussed

    本文以裂隙介質的波動理論作指導，根據hudson裂隙理論，求出eda介質的彈性參數。在此基礎上，應用christoffel方程求出的地震縱波相速度表達式，探討了裂縫密度和裂隙方位對代表波場運動學特徵的縱波速度和代表波場動力學特徵的反射系數的影響。
  9. 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。
  10. A void growth equation is derived for elastic - plastic deformation process by means of representative volume element ( rve )

    摘要採用體胞模型的分析方法推導了材料在彈塑性變形階段的孔洞增長方程。
  11. All of these reveal the further properties of the wave propagating in one - dimensional elastic continuum. on phase plane, the qualitative analysis are made, which exhibits four kinds of orbits : the heteroclinic orbit of burgers equation, the homoclinic orbit of k - dv equation, and saddle - foci heteroclinic orbit or saddle - joint heteroclinic orbit of kdv - burgers equation

    說明burgers方程在相平面上有相應于激波解的異宿軌道; k ~ dv方程有相應于孤波解的同宿軌道: kdv一buegers方程有相應于振蕩孤波解的鞍一焦異宿軌道和相應于激波解的鞍一結異宿軌道。
  12. According to elastic mechanics theory and langrage equation, the first order shape function dynamic equation of tension weight of belt conveyor is derived, and the four series of experienced formulas is established, which provide theoretical instructions for determining the location of tension weight and the depth of concealed pit. 1fig., 2tabs., 5refs

    根據彈性理論和拉格朗日方程，導出了帶式輸送機平衡錘的一階模態動力學方程，求出了4組便於估算平衡錘振幅的經驗公式，該經驗公式為平衡錘的靜平衡位置及暗井深度的確定提供了理論指導.圖1 ，表2 ，參5
  13. In chapter 4, the influences of the earth ' s models on the elastic green ' s function, as well as on the atmospheric loading effects, are discussed using the numerical techniques. the attraction green ' s function is solved out based on the state equations of the ideal gas and the hydrostatic equilibrium equation. the influences of various factors upon the gravity and tilt green ' s functions, as well as upon the gravity and tilt, are considered in detail

    第四章：採用數值計算方法，研究了地球模型對彈性項格林函數及其對大氣負荷響應的影響；利用理想氣體方程和流體靜力學平衡方程解算了吸引項格林函數，討論各種因素對大氣重力和傾斜格林函數及其對重力和傾斜的影響；基於球對稱地球模型，給出了武昌站臺站依賴的大氣重力、傾斜格林函數
  14. When the element studied lost the stability during the elastic - plastic period, the stability balance equation turn to the special coefficient differential equation, and the analytic value cannot be got

    當所研究構件是在彈塑性階段失穩時，穩定平衡微分方程變成非常系數微分方程，而無法求得其解析解。
  15. Based on classical dynamical equation on elastic oarth rotation, an associated dynamical equation containing both nutation and wooble of earth rotation has been deduced through introducing motion of nutation frame with respect to inertial spatial frame

    基於經典的彈性地球自轉動力學理論，通過引入章動參考系相對慣性空間的運動，建立了彈性地球極移和章動的聯合動力學方程。
  16. By means of the measuring the natural frequencies of a beam on a elastic foundation together with the transfer matrix method and the computer algebraic language ， the paper deduces the high - order equation ， which contains unknown quantity of the stiffiness of supports. this method ， the validity of which has feen verified by experiments ， can be applied to identifying the foundation coefficient

    本文通過實測彈性地基梁的固有頻率，以傳遞矩陣法為基礎，利用計算機代數語言，導出以支承剛度為未知數的高次方程，從而識別出地基系數，並通過實驗驗證該方法的正確性。
  17. Aiming at the shortages and demerits in the study of constitutive relationship of concrete based on elastic - plastic mechanics, damage expressions of concrete subjected to uniaxial tension - compression was deduced based on damage mechanics, and general damage evolution equation of concrete in bending state was received also

    摘要針對彈塑性力學研究混凝土本構問題帶來的不足和缺陷，運用損傷力學的方法，導出混凝土在單軸拉、壓狀態下的損傷表達式，得到了混凝土在彎曲狀態下的統一的損傷演化方程。
  18. The model from the input to the output of the piezoelectric traveling wave ultrasonic motor is established by synthetically using lagrange - maxwell equation, hertz elastic contact theory and coulomb friction theory, along with considering electromechanical coupling, influence of the interface force between the stator and rotor of the motor on the amplitude of the traveling wave inside the stator and dynamic contact friction friction force

    利用拉格朗日?麥克斯韋方程以及赫茲彈性接觸理論，庫侖摩擦理論，考慮機電耦合效應，定、轉子間界面力對彎曲行波的影響及其動態接觸摩擦力，建立了壓電行波超聲波馬達從輸入到輸出的機電耦聯系統的數學模型。
  19. In order to solve the static, dynamic and material nonlinear problems of mega - frame structure, this paper analyzes mega - frame structure by qr - method and sets up a new computational form. in this paper, the author adopts the method of repeated increment and no limit stabilization to handle t he elastic - plastic rigid equation and dynamic equation

    然後，利用qr法對巨型框架結構進行分析，解決該結構的靜力、動力及材料非線性問題，利用增量迭代法及樣條無條件穩定演算法分別求解彈塑性剛度方程及動力方程，建立了高層巨型框架結構分析的新的計算格式。
  20. The finite element model of the thermal conductive equation and the thermo - elastic equation in the system consisting of a transparent coating and a opaque substrate is established based on the analysis of the stability of solution and two important parameters, meshing size and time step

    摘要在分析了網格大小和時間步長這兩個重要參數和求解穩定性的基礎上，採用有限元方法建立了透明薄膜基底系統的熱傳導方程和熱彈性方程的有限元模型。
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