relaxation equation 中文意思是什麼

relaxation equation 解釋
弛豫方程
  • relaxation : n. 1. （精神等的）鬆弛；放鬆；【物理學】張弛；弛豫。2. （刑罰等的）減輕，放寬。3. 休養，休息，解悶，娛樂。4. 鬆懈；寬舒；緩和。5. 衰弱，精力減退。
  • 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. So we say that we can absolutely avoid unnecessary and bothering process in mathematic deducibility if making full use of the method of pseudo - spectral in more complex viscoelastic media, we can get wave equation when directly replacing with two kinds of relaxation modules

    由此可以說，如果採用偽譜法模擬其它更復雜的粘彈介質模型時，完全可以避免不必要的而且煩雜的數學推導過程；直接將體積鬆弛模量和剪切鬆弛模量代入即可得其波動方程。
  2. Based on the relaxation constitutive theory of viscosity - elasticity under non - constant temperature, the equation of thermal conduction in solids, and the finite element method, the non - stationary thermal stress in low carbon steel thick hollow sphere is calculated

    摘要基於變溫粘彈性鬆弛型本構理論、熱傳導方程和有限元方法，對低破鋼厚壁球的非定常熱應力進行了分析。
  3. By means of the calorimetric experimental results and the temperature dependence of heat capacity differences, four kinds of temperature dependences of configurational entropy, dielectric relaxation index and cooperatively rearranging region are studied, on the basis of configurational entropy theory on cooperatively rearranging region in disordered amorphous materials by the methods of the relationship between configurational entropy and heat capacity difference, and the equation of relaxation time with activated energy barriers

    摘要基於無序非晶材料「關聯重排區域」的構型熵理論，運用構型熵與熱容量差的關系式、弛豫時間與活化勢壘的基本公式，及聚合物量熱學的實驗結果和熱容量差與溫度的基本關系，研究了4種情況下構型熵、介電弛豫指數和關聯重排區域大小的溫度變化關系。
  4. The relaxation oscillation in solid - state laser with relaxation oscillation pumping is studied theoretically by the rate equation. the undulation of the laser photon density contains relaxation oscillation frequency itself and that of pumping. when those two frequencies are close, the oscillation will be resonated

    我們用速率方程小信號近似方法對泵浦帶有弛豫振蕩的固體激光器的弛豫振蕩的特性進行了系統的理論研究，發現實際光子數的起伏同時具有自身固有的弛豫振蕩頻率和泵浦光的弛豫振蕩頻率兩種分量。
  5. This paper gives the general kinetics equation as well as the critical shear stress value ( or the critical press gradient value ) when the chain structure breaks down, and the method to get the structure relaxation time in the " structure capture particle " process

    給出了電流變響應過程的一般動力學控制方程以及鏈崩潰時臨界的剪切應力值（壓力梯度值） ，及俘獲粒子過程中有關結構弛豫時間的求法。
  6. In chapter 1, the thesis studys the following cauthy problem to hyperbolic system with nonlinear relaxation term we prove that for the initial value with bounded c1 norm, there exists a unique global smooth solution for the cauthy problem ( 1 ), ( 2 ) ; in chapter 2, the thesis considers the following hyperbolic system with relaxation term and the sclar conservaton law equation when e is fixed, for a certain class of initial data, in the large time station, the thesis gets a determined lp ( p > 2 ) decay rate between the golbal smooth solutions of system ( 3 ) and the rarefaction waves solution of equation ( 4 )

    在第一章中，研究如下帶非線性鬆弛項的雙曲組的柯西問題證明了，對c ~ 1模有界的初值，柯西問題（ 1 ） ， （ 2 ）存在唯一的整體光滑解。在第二章中，考慮如下帶鬆弛項的雙曲組和單守恆律方程u _ t + f （ u ） _ x 0 ， （ x ， t ） r r ~ + 。 （ 4 ）當固定時，對一類初值，得到方程組（ 3 ）柯西問題的整體光滑解與方程（ 4 ）的稀疏波解間在大時間狀態下的l ~ p （ p 2 ）衰減率。
  7. The finite element balance equation is obtained with galerkin weighted residual procedure, and in turn, the creep and stress relaxation behaviors of articular cartilage under confined compression are numerically simulated using the designed finite element program

    具體採用伽遼金加權殘值法得到有限元平衡方程，編制了有限元程序，進而對關節軟骨圍限壓縮蠕變和應力鬆弛行為進行了數值模擬。
  8. A homogenization - based method for predicting the viscoelastic property of multi - layered composite material is presented. by laplace transforming the governing equation of the viscoellastic problem of jointed rock, the dependent relation of the laplace transformation of the effective relaxation modulus of jointed rock on the joint distribution was derived by applying the homogenization method in laplace transformed domain. then, the effective relaxation modulus was obtained from the inverse transformation

    首先對層狀復合材料粘彈性問題的控制方程進行laplace變換，在像空間中利用均勻化理論建立宏觀鬆弛模量的laplace變化與各層形式的依賴關系解析表達式，通過laplace逆變換可獲得等效鬆弛模量預測的解析表達式，並給出了體積變形為彈性、剪切變形符合三元件模型的單向節理巖石的粘彈性鬆弛模量預測的數值算例。
  9. Most of partial differential equation arising from physical or engineering science can be formulated into conservation form : it directly reflects conservation laws in natural sciences. from viewpoints of fluid dynamics, it can be obtained from the mass, momentum, energy conservation laws. because the form ( 0. 2. 1 ) has no other terms such as dispersion, diffusion ( caused by nonuniformity of some physical states ), reaction, memory, damping and relaxation etc, smoothness of solution of ( 0. 2. 1 ) may be loss as times goes on. even for the smooth inital data, solutions of ( 0. 2. 1 ) become discontinuous in a finite time

    由於雙曲守恆律（ 0 . 1 . 1 ）沒有其它項，如色散（ dispersion ） ，擴散（ diffusion ） （某物理量分佈不均勻引起的輸運） ，反應（ reaction ） ，記憶（ memory ） ，阻尼（ damping ）及鬆弛（ relaxation ） （描述非平衡態）等，而僅有輸運或對流項（ convection ） （由於流體的流動引起的輸運）時，守恆律（ 0 . 1 . 1 ）的解失去光滑性（這里不特殊說明守恆律就指該意義下） ，甚至即使光滑的初始數據，解隨著時間的發展會變成不連續，這在物理上表現為激波的形成。
  10. By laplace transforming the governing equation of the problem of unidirectional fiber reinforced composite materials, the formulae for predicting the viscoelastic relaxation moduli in laplace transformed domain are obtained. according to correspondence principle of viscoellastic mechanics and elastic, mechanics, the results of effective moduli for several s are obtained by using the finite element method of the homogenization. then effective relaxation moduli should be curve - fitted, according to the viscoelastic relaxation modulus formulae of many viscoelastic materials

    首先對單向纖維增強復合材料粘彈性問題的控制方程進行laplace變換，在像空間s中利用均勻化理論建立宏觀鬆弛模量的laplace變換泛函形式，根據粘彈性-彈性對應原理，用均勻化問題的有限元方法預報單向纖維增強復合材料在相空間中多個離散點的本構關系，然後根據典型粘彈性材料的鬆弛模量具有的函數形式進行曲線擬合，再通過對擬合出的函數進行laplace逆變換，從而再回到時間t域，就得到了單向纖維增強復合材料的鬆弛模量。
  11. We have deduced mathematical equations modeling its vibration and studied the stability of the semigroup associated with the equation system. we obtain the exponential stability under certain hypotheses of smoothness and structural condition of the coefficients of the system, applying the relaxation function decays exponentially. this result does not need the continuity of the damping coefficient at the interface

    對于具有局部粘彈性阻尼的高維波方程的能量的指數衰減問題， liuetal . 51 }和riveraetal . 63分別對k一v型和boltzmann型的情形進行了研究，在假設了阻尼系數是光滑的並且附加了一些結構性條件的情形下，得到了指數穩定性的結果。
  12. And then the brief description of the researches in micro - mechanics is presented. ( see chapter 1 ) 2. the basic conception of the homogenization theory is given, and then by laplace transforming, the formulae for predicting the viscoelastic relaxation moduli in laplace transformed domain are obtained from the governing equation of the problem of composite materials

    （詳見第一章） 2 、在簡要介紹細觀多尺度均勻化方法的基本理論的基礎上，通過復合材料粘彈性問題的控制方程的laplace變換，並利用對應原理，在像空間中導出了利用均勻化理論預測宏觀鬆弛模量的laplace變換泛函形式。
  13. As the time microscale factor in fast transient high - strength heating or cooling can not been ignored, heat relaxation time is introduced. based on hyperbolic heat conduction equation and kinetic equation added inertia, theoretical analysis and study of stress diffusion and transformation in heat impact process were developed

    考慮到快速高強度加熱或冷卻帶來的時間微尺度因素，引進熱鬆弛時間，以雙曲線型熱傳導方程和考慮慣性力的運動方程為基礎，對熱沖擊過程的應力傳播與變化規律進行了理論上的分析和研究。
分享友人
分享到 Line

分享到臉書