critical equation 中文意思是什麼
critical equation
解釋
臨界方程式-
Second, we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability. we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger, that is to say, they benefit the occurance of symmetric instability. third, we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane. non - hydrostatic balance and filiter model
第二，討論了環境位溫與熱成風因子對中尺度對稱不穩定的影響。運用解析的方法求出了擾動流函數的表達式和對稱不穩定的判據，發現環境參考位溫隨高度的變化與熱成風因子使得對稱不穩定臨界理查遜數及擾動的臨界半波長都變大，這有利於對稱不穩定的發生。第三，採用f平面、非靜力平衡、濾聲波模式，討論了中尺度垂直環流非線性攝動分析及演變方程。 -
This text expanded the magnetoelastic stability issue of current - carrying component from coil, pole piece to thin current - carrying plates, and used special function to differentiate the critical state of losing magnetoelastic steady, the number value of getting the relevant parameter is solved. the text derives and provides the magnetoelastic movement equation of thin current - carrying plates, the geometry equations and the physics equations, the expression formula of lorent ’ s force, electro dynamics equation through the theory at first
本文將載流構件磁彈性穩定問題由線圈、桿件拓展到載流薄板，並引入特殊函數判別磁彈性穩定問題的失穩臨界狀態，得到了相關參量的數值關系。首先通過理論推導給出了載流薄板的磁彈性動力學方程，幾何與物理方程，洛侖茲力的表達式，電動力學方程。 -
The steady bifurcation and phenomenon of critical slowing down of the absorptive optical bistability equation
光學雙穩態方程的定常分岔和臨界慢化現象 -
Based on the research to the stability variable cross - section beam, the bending defection differential equation of the variable cross - section beam in critical state of bucking is established. according to the edge condition of the structure, the differential equation is solved and bucking equation of variable cross - section beam is created. we can get the algorithm which can be used to calculate the equivalent inertia moment of the variable cross - section lattice structure when it is regarded as constant cross - section of solid web beam
對變截面格構式構件的穩定性計算進行了初步的研究，通過建立變截面構件臨界狀態下彎曲變形的微分方程，根據變形邊界條件，得到了兩端鉸支的變截面梁失穩特徵方程，提出了幾種特殊形式的變截面格構式構件等效為等截面實腹式構件時等效慣性矩的計算方法。 -
The simplified geometric nonlinear theory is used in post - buckling analysis. galerkin method is employed to derive the eigenvalue equation of the shell containing initia l geometrical imperfections. the buckling critical load is get. the program for calculating the buckling critical load is developed and the numerical example is given.
採用簡化的幾何非線性理論，進行了后屈曲分析，應用galerkin法推導得到了含有初始幾何缺陷的編織復合材料圓柱殼的屈曲特徵方程，得到了臨界荷載的計算公式，編制了相應的計算機程序，並給出了具體算例，得到了一些有益的結論。 -
The control of beam halo - chaos becomes a critical problem in the development of high intensity accelerator. efforts to remove the halo by collimation have been largely unsuccessful since the halos almost always regenerate. the mechanisms of halos are complex, such as nonlinear resonances and chaotic behavior etc. considering this, professor fang jin - qing who works in china institute of atomic energy pointed out that the theory of chaos control can be used to control beam halos. he presented the method to control halos by using nonlinear functions, which means nonlinear function g is added to the right of ion radial self - edlctric force equation and some nonlinear function are selected to control beam halos in simulations. in paper [ 69 ], controllerg = - 0. 15sin ( rmax - am ) 2 was used and the halo intensity was decreased to 0. 1078, the halos are removed partly
束暈?混沌的控制是新一代強流加速器研製的關鍵問題，隨著強流離子束應用前景的日趨廣闊而日益成為研究的熱點。傳統機械限束器因無法解決束暈的再生而收效甚微，因為束暈的形成有著其內在動力學機制?非線性共振以及混沌等。基於此，中國原子能科學院研究員方錦清將混沌控制的理論和方法開創性的運用於束暈?混沌的控制上，提出了控制束暈?混沌的非線性控制策略，即在粒子徑向所受束自生場力方程的右邊加上非線性控制函數g ：並選取一些非線性函數如等進行了控制的模擬研究，將束暈強度控制在0 . 1078左右，取得了初步的控制效果。 -
In addition, a new analytical method was used to solve the shear strength of the fiber / epoxy interface. the result showed good agreement with that from the kelly - tyson equation. meanwhile, according to the sfc tests of the single fiber reinforced epoxy matrix composites treated by four types of surface treatments, the interfacial adhesion conditions were estimated by critical fiber length, interfacial shear strength and single fiber microdamge mode
此外，文中對單纖維復合材料斷裂實驗運用了新的解析方法，求解了玻璃纖維環氧復合材料界面的剪切強度，與kelly - tyson等式方法求得的界面剪切強度有著很好的一致性；同時，對四種不同表面處理劑處理的單纖維復合材料斷裂實驗進行了分析，從臨界纖維長度、界面剪切強度和單纖維斷裂實驗中纖維斷點周圍基體形貌評價了界面的粘結情況。 -
The calculations axe based on the equation of current motion with temperature and field - dependent critical current density, and the heat dissipation produced by flux motion in the normal state region and the superconducting state region
此計算基於電流運動方程，考慮到電流密度是溫度和磁場的函數，考慮到在正常區和超導區由磁通運動產生的熱耗散。 -
And then the author established and verified an empirical equation for the ratio of the heights of collapsed part and running part for the avalanche soils, suggested the critical flow conditions of loose avalanche soils and block avalanche soils, discussed the causes of accelerated motion of consistent debris flows on mild slope, and studied the average velocity of intermittent debris flows
給出了判別崩塌土相對運動距離，即流高比公式，並用現場實測資料進行了驗證。提出了鬆散崩塌土和塊狀崩塌土流動化的判別條件。探討了稠性泥石流在緩坡上加速運動的成因，並討論了陣性泥石流平均流速公式。 -
In the suspended sediment transport model, the method of shear stress is adopted to determine the source function in the suspended sediment diffusion equation. through a series numerical experiments and statistical analyses of observed field data, a local coefficient, which can reflect the bottom material and consolidation, is introduced into the classic critical erosion velocity of the sediment
懸沙輸運模型利用切應力方法來確定對流擴散方程中的泥沙源函數，其中的臨界起動速度利用經典的泥沙起動流速公式前面增加一個局地系數得到，這個系數能反映河床底質結構及固結程度，通過系列數值試驗和實測資料的統計分析確定。 -
Numerical simulations were done to show the distortion of the wavefront and the interference pattern under several kinds of typical plasma density distributions. the ray path in plasma was calculated by the numerical solution of the vector equation of light ray, when the plasma density was closing to the critical electron density of the laser frequency. through the simulations, the factors that influence the measurement were found out under different density distributions and shapes of plasma
在此基礎上，採用數值模擬的方法，計算了在幾種典型的等離子體密度分佈下，激光波面的變化和產生的干涉圖樣；並用光線矢量微分方程的數值解法計算了當等離子體密度接近光頻臨界電子密度時，光線在等離子體中的傳播路徑，從中掌握了在不同的等離子體密度和形狀下，進行干涉測量所應估計到的因素。 -
The experimental results of the flow characteristics of the mmc heat sink indicate that the critical reynolds number signifying the transition from laminar flow to turbulent flow is in advance ; under the same experimental conditions, the variation in entrance direction of the microchannel inlet and outlet has little effect on the microchannel ; the experimental values of the friction factor of the de - ionized water in a microchannel agree well with those calculated using the theoretical laminar formula ; furthermore, a comparison of the experimental results and simulation results shows that navier - stokes equation and rng - turbulence model can be used to model the laminar and turbulence flow regions in a microchannel ; meanwhile, the correlations of the flow resistance in the turbulent flow regions for the de - ionized water as the working fluids are obtained from experiments
對歧管式單通道熱沉流動特性的研究結果表明，微通道內流體流態由層流向紊流轉變的臨界雷諾數提前;改變流體的進出口方向對熱沉總壓降造成的影響很小;摩擦系數的實驗值與理論值較接近;數值模擬結果能夠與實驗值較好吻合;並由實驗給出了紊流區流動阻力的實驗關聯式。此外，選用十二烷基硫酸鈉（ sodiumdodecylsulphate ， sds ）以及烷基多糖苷（ alkylpolyglycoside ， apg ）作為減阻添加劑，研究了表面活性劑添加對微通道流動特性的影響。 -
The energy equilibrium equation and the relation between plastic work and the critical stress surface are given
給出了臨界狀態下的能量平衡方程及塑性功與臨界應力面的關系。 -
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。 -
For the high pressure phase equilibrium system composed of co2, h2o, cacl2, etc., co2 is treated as super critical fluid truly, the volume of which is estimated by bwr state equation suitable for super critical fluid
考慮了酸液溶蝕的碳酸鹽以及酸巖反應生成的二氧化碳對人工裂縫體積的影響，針對裂縫內由二氧化碳、水、氯化鈣等物質組成的高壓相平衡體系，將二氧化碳真實地處理為超臨界狀態，其體積由適用於超臨界流體的bwr狀態方程求解。 -
In this paper periodically perturbed hopf bifurcation to lienard equation with limited time delay is sdudied in detail. that is, the influence of small periodic perturbations on system exhibiting hopf bifurcation is sdudied. in particular, the excitation frequency and the critical natural frequency of hopf bifurcation in the cases of harmonic resonance. subharmonic resonance, ultraharmonic resonance, and ultrasubharmonic resonance is discussed. it is shown that in some parameter regions the sestyms exhibit harmonic solution bifurcation, subharmonic solution bifurcation, ultraharmonic solution bifurcation, ultrasubharmonic solution bifurcation and quasi - periodic solution
本文詳細研究了具有限時滯li nard方程的周期擾動hopf分支，即在該系統經歷hopf分支時，研究小周期擾動對系統的影響，特別是討論了擾動頻率與hopf分支周期解的固有頻率在共振、次調和共振、超調和共振、超次調和共振的情形。 -
Then, use galerkin principle to put the stability equation in order for the special function the mathieu standard form, and utilize the boundary of the mathieu solves ’ steady area and unsteady area, namely special relationships of and, draw the discrimination equation of losing the magnetoelastic steady critical state
然後，應用galerkin原理將穩定性方程整理為特殊函數馬丟方程的標準形式，並利用馬丟方程的穩定解區域與非穩定解區域的分界，即系數和的本徵值關系得出了磁彈性最低失穩臨界狀態的判別方程。 -
6. on the base of the two - phase flow theory, the paper studies the velocity distributing of solid - liquid two - phase flow, acquires the distributing function of velocity and consistence, on the other hand, studies the loosing during flow, and gets the movement equation of solid - liquid two - phase flow. finally, the paper analyzes the flow characters of solid - gas two - phase flow, put forwards the boltzmann equation, gets the critical condition of slope angle tg a > tg ( p1, and brings forwards the relevant m
（ 6 ）分別應用二相流理論研究了固液型碎屑流流速分佈，得出了流速分佈及濃度分佈的方程式，並進一步研究了固液型碎屑流流動過程的弛豫現象，得出了固液型碎屑流的運動方程；同時，分析了固氣型碎屑流（即干碎屑流）的運動特點，給出了固氣型碎屑流的boltzmann方程，得出了干碎屑流的臨界坡角條件哈a2igs 』 ，並給出了滿足此條件下干碎屑流的運動方程。 -
Applying strain - energy distributing theory during col1iding and energy ruler during colliding, the paper put forwards the critical velocity equation which rock - mass destroy when colliding occuf, and other severa1 equations to make certain average velocity and motion direction after collide. at the same time, the equation to make certain the value of energy to make rock - mass destroy has been deducted, and on the base of this, the paper brings forward the equation to calculate average diameter after rock - mass falls into pieces by the way of word - cost theory. accordingly, the paper perfectly studies the effect of falling into pieces in the course of landslide colliding
（ 3 ）首次應用碰撞過程應變能「分配」原理及巖體破壞的能量條件，導出了滑坡巖體在碰撞時發生破壞的臨界速度公式及碰撞后滑坡巖體的平均速度和運動方向的確定公式，導出了碰撞過程用於巖體破碎的能量計算公式，並在此基礎上，利用功耗原理，提出了滑坡巖體破碎后平均塊度的計算關系式，從而較完整地分析了滑坡巖體碰撞的解體破碎效應。 -
On the positive solutions of semilinear weighted critical biharmonic equation
半線性帶權臨界雙調和方程的正解
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