stiffness equation 中文意思是什麼

stiffness equation 解釋
剛度方程
  • stiffness : 彈性剛度
  • 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. 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。
  2. Based on the force - method equation, the stiffness matrix and fixed - end nodal displacement and force vector are derived

    在力法方程的基礎上，給出了組合梁單元的剛度矩陣、桿端位移向量及桿端荷載向量並建立了剛度方程。
  3. According to the computation process of the fem and assumption, associating of the fem mesh that have separated and the grouting stress diffusion equation, the integral stiffness matrix and the load matrix can be formatted, then the displacement of the nodal point can be got after solving the simultaneous linear equations. and then the grouting parameter can be computed and analyzed

    然後，依據有限元法的計算步驟和所作的假設，結合已經離散化了的網格、灌漿壓力擴散衰減公式，形成整體剛度矩陣、荷載矩陣，經求解后得到結點的位移，並依此計算分析灌漿參數。
  4. In this paper, to counter a flexible beam undergoing large overall motion impacting a fixed slope surface under the effects of grativity, the normal contact model is established based on the hertz theory and non - linear damping term, the tangential contact model is developed by adopting linear tangential contact stiffness to consider the effects of friction force during impact process, and the consistent linear dynamic model including impact is derived by using mode assumption method and lagrangin equation

    針對在重力場下作大范圍回轉運動的柔性梁與一固定斜面發生斜碰撞的情況，根據hertz接觸理論和非線性阻尼項建立法向碰撞接觸模型。引入線性切線接觸剛度建立切向碰撞接觸模型，以考慮接觸過程中由於切向相對速度的換向作用引起的摩擦力的變化。利用假設模態法和lagrangian方程建立系統含碰撞過程的一致線性化的動力學模型。
  5. The recursive equation of structural physical parameters of shearing system are developed to identify the floor mass and stiffness, which only uses any two identified modes and the total mass of the structure

    建立了剪切型結構系統結構參數識別的遞推方程，該方法僅利用結構的總體質量和任意兩階模態信息就可以識別出系統的結構參數。
  6. Based on the theory of stochastic finite element, the structural parameters of frame - shear structure including stiffness and mass and damping are simulated to be stochastic variables. by solving recurrence equation of stochastic finite element, the duration curve of mean value and standard deviation of seismic response can be obtained for every floor of frame - shear structure. an analysis is thus given to the effects of independent variation and simultaneous variation of structural parameters on the seismic dynamic response of frame - shear structure. as shown by the results, with regard to frame - shear structure, the effect of variation of strucural parameters on the change of mean value are chiefly the increase of standard deviation of response. variation of stiffness will cause the response of frame - shear structure to variate greatly ; variation of mass shows less effect ; and variation of damping shows insignificant effect. the effects of simultaneous variation of various structral parametres on seismic response are only slightly greater than the effect of stiffness variation alone

    以隨機有限元理論為基礎，將框剪結構的剛度、質量、阻尼等結構參數為隨機變量.通過求解隨機有限元的遞推方程，得到框剪結構各層的地震動力響應均值和標準差歷時曲線.分析結構參數單獨變異，以及同時變異對框剪結構地震響應的影響.研究結果表明，對框剪結構而言，結構參數的變異對響應的均值變化影響都不大，主要是增大響應的標準差.剛度的變異性將引起框剪結構的響應發生大幅度變異，質量的變異性影響稍小，阻尼的變異性影響不顯著.結構各參數的同時變異，對框剪結構地震響應的影響，僅比剛度單獨變異的影響稍大
  7. In order to reduce the equation complexity and adapt to complicaied noniinear ana1ysis of high arch dams with joints, finite element treatments are used with incompressibie water and massless foundation. the added mass of water and added stiffness of foundation are respectively used to substitute the influence of water and foundations. the efficiency in the computations is improved by means of static condensation

    為適應有橫縫高拱壩非線性分析的復雜性，採用不可壓縮水體和無質量地基假定進行有限元處理，以水體附加質量和地基附加剛度近似代替水體和地基的影響，通過靜凝聚提高計算效率。
  8. 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。
  9. Basically, neglecting axial deformations corresponds to the omission of rows 1 and 4 and columns 1 and 4 of the stiffness matrix equation(15. 1).

    忽略不計軸向變形基本上可以說相當于刪去方程（15-1）中剛度矩陣的第1行和第4行及第1列和第4列。
  10. By application navier - stokes equations under the sphere coordinate, the calculation formula of the support load of the oil film of the ball joint coupling based on hydrostatic bearing. support property equation of this ball joint coupling was set up. at same time, the formula of the oil film stiffness was established

    運用球坐標系下的納維-斯拖克斯方程組推導出靜壓支承球鉸副油膜支承反力的求解公式，給出了靜壓支承球鉸副油膜支承特性方程，得出了靜壓支承球鉸副油膜剛度計算公式； 4
  11. According to the classical theory of thin - walled members this paper presents the derivation of energy equation under restrainted conditions, and a elastic restrainted stiffness matrix of thin - walled members is derived. continuous restrants and discrete restraints are considered in the energy equation. euler - equation of the derived energy equation is testified

    根據薄壁構件彎曲與扭轉理論，對彈性約束條件下薄壁構件的能量方程進行了推導，再根據總勢能最小值原理推導出彈性約束條件下薄壁構件的單元剛度矩陣。能量方程中考慮的約束情況有連續的線彈性約束和離散的彈性點約束。
  12. Thus the resistance factor and vibration modes of the soil layer are obtained and used to analysis the pile response. by considering the interaction between the soil layer and the pile with boundary condition of continuity of displacement and equilibrium of force at the interface of soil layer and pile, the dynamic equilibrium equation of pile is solved and an analytical solution for the pile response in frequency domain is yielded, which is used to define complex stiffness and mobility at the level of the pile head. based on the convolution theorem and inverse fourier transform, a semi - analytical solution of velocity response in time - domain subjected to a semi - sine exciting force is given

    首先通過引入勢函數方法對土體位移進行分解，從而將土體動力平衡方程解耦，求解得到了土層的振動模態和阻抗因子，然後利用該解以小應變條件下樁土接觸面上力平衡和位移連續條件來考慮樁土耦合作用，求解樁的動力平衡方程，得到了樁頂的頻域響應解析解、復剛度和速度導納，利用卷積定理和傅里葉逆變換，求得了半正弦脈沖激振力作用下樁頂速度時域響應半解析解。
  13. Basically, neglecting axial deformations corresponds to the omission of rows 1 and 4 and columns 1 and 4 of the stiffness matrix equation ( 15. 1 )

    忽略不計軸向變形基本上可以說相當于刪去方程（ 15 - 1 ）中剛度矩陣的第1行和第4行及第1列和第4列。
  14. By using 3 - d isoparametric element, the global stiffness matrix equation for the piezoelectric laminate is obtained on the bases of minimum principle of total potential energy

    由於最小勢能原理，建立了單元剛度矩陣和壓電材料的整體剛度方程。並且推導了壓電層合板的邊界條件。
  15. Steel frame with welding joint easily occur brittle collapse because of having a low ductility at joints then ， a semi - rigid connected steel frame has large the energy absorption capacity which can resist dynamic loads and the using steel qualities of bracing system and joints are small so adopting a semi - rigid jointed steel frame is economical and stable but for semi - rigid connections are complex and variable ， in conventional analysis and design of steel structures ， it is usually assumed that the connections between columns and beams are either rigid or pinned the analysis of steel frames adopting the assumption can simplify the procedure of analysis and design ， but cannot precisely reflect structural practical circumstance and the errors of calculating results are large ， even ， get incorrect conclusions semi - rigid connection was referred to in chinese code for design of steel structures ( 2001 ， 10 ) ， however ， it isn ’ t specified how to apply semi - rigid joints in design in fact it cannot be carry out the purpose of the paper give a calculating method that accords practical engineering and easily put into effect worthwhile it is going to promote the development of semi - rigid jointed steel frame in design and heighten structural stability in the paper ， at first some commonly employed methods for the modeling of connection behavior are introduced richard abbott function modeling of connection is adopted for extended end plate bolted connection by the 34 test data comparing to regression analysis indicate richard - abbott function modeling of connection represents an excellent fit to test data then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring ， base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects ofj ointed flexibility geometric non - linearity and shear forces in the connection deformations have been considered in and fixed - end forces are modified finally, a program for calculating semi - rigid with incremental - iterative method has been

    本文的目的就是為半剛性連接鋼框架的設計提供一種既符合工程實際又簡便易行的計算方法，供規范使用過程的補充、延伸或參考；同時，也將促進半剛性連接鋼框架設計技術的發展，為提高結構安全性能、節省工程成本發揮應有的作用。本文首先介紹了常見的幾種應用較為廣泛的樑柱連接彎矩轉角關系模型，在分析比較的基礎上，選用richard ? abbott函數模型作為外伸端板連接彎矩轉角關系模型，通過對34個外伸端板連接的實驗數據與回歸分析得到的參數比較可知，經回歸分析得到的此模型參數與實驗數據符合較好。然後用彈簧表徵連接點的轉動剛度，根據梁的轉角位移方程推導出半剛性連接的剛度矩陣，在單元剛度矩陣中考慮了節點柔性、幾何非線性和剪切變形的影響，並對固端力進行了修正，最後用增量迭代法編制有限元程序進行計算和分析。
  16. Then a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring. basing on rotation and displacement equation, we obtain the element stiffness matrixes with semi - rigid connections where the effects of material nonlinear, hysteresis behavior and shear forces in the connection deformations have been considered in and at the same time we modify the fixed - end forces. finally, a program for calculating the elastic - plastic earthquake seismic of semi - rigid connected steel frame structure by step and step integration of wilson -

    本文在介紹和分析半剛性連接彎矩與轉角連接關系模型的基礎上，用帶有轉動剛度的彈簧表徵半剛性連接，推導出半剛性連接的剛度矩陣，並對桿件固端力進行修正，同時在考慮剪切變形、材料彈塑性、及構件的動力滯回性能的基礎上，編制了結構彈塑性地震動力時程分析有限元計算程序。
  17. Then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring, base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects of jointed flexibility and shear forces in the connection deformations have been considered in and fixed - end forces are modified. finally, a program for calculating system reliability of semi - ridge steel frames with monte carlo method and finite element analysis has compiled for calculating and analyzing. by calculating results of several examples for steel frame in semi - rigid joints case show the change of joint stiffness and other kinds of factors affect the system

    接著本文在介紹和分析半剛性連接彎矩和轉角關系模型的基礎上，用帶有轉動剛度的彈簧表徵半剛性連接，推導出半剛性連接的剛度矩陣，對固端力進行修正，同時考慮了剪切變形的影響，編制了半剛接鋼結構平面框架的有限元程序bhpfl ，並在其基礎上編制了基於蒙特卡洛法的montecarlo - bhpfl有限元相結合的方法，進行體系可靠度的分析。
  18. 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。
  19. Meanwhile, the influence of overlapping area on the beam foundation is modified by means of load amendment, and the influence of overlapping area on the pile - beam foundation is modified by means of stiffness amendment. by applying the model of stress - spread in shear - displacement method to describe the stress spread between piles and the geddes hypothesis to determine the stress distribution of pile, a displacement coefficient is deduced to calculate the flexibility matrix and the coefficient for load distribution of pile. considering the stiffness of foundation beam, the equation of the interaction of pile - beam - soil is established and an analysis program is developed related to the interaction

    本文通過採用剪切位移法中的應力擴散模型考慮樁與樁之間的應力傳遞作用；採用geddes假定確定樁身和樁端的應力分佈，推導位移系數，並以此為基礎求得柔度矩陣；樁身和樁端的應力分佈大小由樁的荷載分配系數控制，通過迭代法可以求出樁的荷載分配系數；在考慮基礎梁對樁?梁?地基土共同作用的剛度貢獻基礎上，提出了樁?梁?地基土共同作用方程，並通過本文作者開發的相應計算程序，經實例計算驗證了本文方法的正確性。
  20. ( 2 ) the foil bearing is treated as a continuous flexible surface which is supported on an elastic foundation. the stiffness and damping of the film are assumed to be liner and constant everywhere. the fluid is modeled by using the reynolds equation for a compressible gas

    （ 2 ）建立了具有線性結構剛度和阻尼的彈性箔片軸承模型，並對這一彈性流體動力潤滑（ ehdl ）問題建立了由非定常可壓縮雷諾方程和彈性箔片平衡方程及其邊界條件組成的控制方程。
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