coupled equations 中文意思是什麼
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A new numerical procedure for analyzing the coupled vibration of a framed arch bridge with a single moving vehicle is presented to solve the equations of motion of a bridge with many degrees of freedom. the procedure consists in dividing the bridge - vehicle systems, which are solved separately, into 2 subsystems at the interface of the bridge and vehicle. the compatibility at the interface is obtained by an iterative procedure with aitken acceleration
本文提出新的計算橋梁車激振動反應的方法，車?橋系統被分成兩個相互作用的子系統，這兩個子系統通過接觸點的協調條件耦合在一起，從而應用aiken動態加速法對橋梁運動方程、車輛運動方程和車?橋耦合方程進行高效迭代求解。 -
On the basis of this equation, the general differential equations of coupled bending, torsional and pendular nonlinear vibration about rotor with unbalance character and rubbing character are deduced. the bifurcation and chaos behavior especially the influence on bifurcation and chaos behavior of impact and rubbing fault rotor system
應用數值方法研究了碰摩轉子的彎扭擺耦合振動相應的復雜動力學行為，重點研究了轉子轉速、偏心量等系統參數對碰摩轉子彎扭擺耦合振動的分岔和混沌行為的影響以及扭轉振動和擺動振動對彎曲振動的影響。 -
In chapter 4, the spectral characteristics and its application in optical add - drop multiplexer ( oadm ) and in multi - channel dispersion compensator of linearly chirped moir fiber grating are studied. according to the coupled - mode theory and considering the construction features, we derive the couple - mode equations that describe the mode interaction in this kind of grating
首先從耦合模理論出發，結合線性啁啾moir光纖光柵的結構特性，建立了分析線性啁啾moir光纖光柵的耦合模方程，通過數值求解耦合模方程，研究了線性啁啾moir光纖光柵的光譜特性和時延特性。 -
Then the nonlinear coupled electromagnetic and electron motion equations were obtained from the lorentz equation. and numerical calculation and analysis of cold cavity by pic software were applied to analyze the both hot and cold dispersion characteristic of this waveguide
接下來，從電子運動方程出發得到了自洽非線性方程組，通過一階線性近似導出了螺紋波導中注波互作用色散關系，從中分析該波導超寬帶特性。 -
The result shows that the upper bounded estimate is independent of the number of spatially partition. similar results are obtained for spatial - temporal discretized fitzhugh - nagumo equations and generalized coupled fitzhugh - nagumo equations
萬程解的漸近行為，給出了其整體吸引子的存在性和ha朋d扯咐維數估計；最後對離散耦合fitzhugll n 。 -
Finally we also discuss explicit exact solutions of kdv, coupled kdv and a compound kdv - burgers equations etc. wu algebraic elimenation method is most important basic tool during the course of solving proplem
我們還研究了kdv ，耦合kdv方程及一類組合kdv - burgers方程，一類非線性演化方程精確解，這些解包括奇性孤波解，周期解和有理函數解。 -
The excel method for solving the linear coupled equations
解線性方程組的電子表格法 -
Monotone iteration method generalized solution of nonlinear weakly coupled equations
非線性弱耦合方程組廣義解的單調迭代法 -
We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences
第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。 -
Based on the maxwell - field equations, we derive the coupled - mode equations that describe the interaction between the modes
在分析相關研究文獻的基礎上，本文從光纖中的麥克斯韋方程組出發，推導耦合模方程。 -
An algorithm of solving nonlinear coupled equations is given which transforms the solving problem to unconstrained optimization problem and the coupled equations are solved by a genetic algorithm and newton iteration
同時還給出了一種求解非線性方程組的演算法，即將非線性方程組的求解問題轉化為帶約束的優化問題，應用遺傳演算法和牛頓迭代法求解。 -
The irreversible thermodynamics process is discussed under non - isothermal circumstances, and the physical significance of the external terms in the three - field coupled equations is also analyzed
探討了非等溫條件下，體系不可逆熱力學過程，並對其三場耦合控制方程中附加項的物理意義進行了分析。 -
Finally, for the multi - wavelength backward pumping fra problems, which are very hard to cope with, we proposed multi - dimension parallel shooting method. the simulation results demonstrate that this method is very useful in solving the raman coupled equations, which are representative of the highly nonlinear problems. the shooting can be converged in short time ( the shooting deviation can be less than 10 - 8 after 6 shooting when there are 8 pumping wavelengths )
最後，對于最難求解的多波長後向泵浦fra問題，本文提出了多維并行打靶思想， matlab下數值模擬證明，該多維并行打靶法非常適合求解拉曼耦合方程這類高度非線性的問題，打靶過程收斂速度較快（八波長泵浦時只需打靶6次就可以使打靶偏差小於10 - 8 ） 。 -
Complex solutions to two nonlinear coupled equations
兩個非線性耦合方程組的復形式解 -
Second, the structural dynamic equations for blades are introduced in this paper. through numerically solving the aerodynamics - structure coupled equations, a 2 - d unsteady viscous flow in a single cascade is investigated under flow - structure coupled conditions, and a preliminary analysis of the cascade flutter is prosecuted
其次，本文引入葉片結構動力學方程，通過數值求解氣動結構耦合方程體系，研究了氣固耦合條件下葉柵內的二維非定常粘性流動，並初步進行了葉柵的顫振分析。 -
2 ) based on the maxwell equations of nonlinear media, high - order coupled equations governing the evolution of two orthogonal polarization components of the same wave are derived by using multi - dimension derivation expansion method of singular perturbation theory, and the suitable application range is presented
2 ）利用奇異攝動多重尺度導數展開法，從非線性介質中的maxwell方程組出發，導出了包含高階攝動項的同一光波不同偏振分量的耦合高階非線性薛定諤方程，並給出了其適用范圍。 -
The six methods are as follows : the supperposition method, the state space method, the complex mode method, the direct integral method, the numerical method for solving the initial - value problem of first - order ordinary differential coupled equations with constant coefficients, and the time domain finite element method
這六種方法是：振型疊加法、狀態空間法、復模態法、直接積分法、一階常微分方程組初值問題的數值解法和時域有限元法。 -
The influence of optical source chirp on femtosecond soliton interaction is studied numerically, and the unequal amplitude method can reduce the interaction. in addition high - order coupled equations governing the evolution of two orthogonal polarization components of the same wave are derived by using multi - dimension derivation expansion method of singular perturbation theory and the dispersion relation. furthermore, a class of optical solitary wave solutions, such as the bright - bright, dark - dark, bright - dark, and combined solitary waves are found under certain parametric conditions
數值研究了源啁啾飛秒孤子間相互作用，提出了抑制該作用的可能方案；用奇異攝動多重尺度導數展開法和色散關系推導了耦合高階非線性薛定諤方程（ chnlse ） ，並用行波變換法得到了一系列孤波解析解，分析了它們在光纖中傳輸的必要條件，也討論了它們的穩定性，為實現飛秒光脈沖在光纖中的無畸變傳輸作理論上的探索。 -
In terms of the weighted residual method to the springback anti - coupled equations, the springback potential energy principle and springback complementary energy principle of axisymmetric problems are established
應用加權餘量法于該回彈反耦聯方程，建立了軸對稱問題的回彈勢能原理和回彈餘能原理。 -
The changed temperature will lead to stress. the stress is considered in constitutive equations, and the coupled equations of temperature and stress fields are obtained
當凍土墻中溫度發生變化時產生變溫應力，把變溫應力作為一種等效荷載在本構方程中加以考慮，得到溫度場和應力場耦合的有限元方程。
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