攝動階 的英文怎麼說
中文拼音 [shèdòngjiē]
攝動階
英文
order of perturbation-
Its biquadratic finite element approximation is considered and under the appropriately graded meshes, quasi - optimal order error estimates in the - weighted h ^ 1 - norm, up to a logarithmic factor in the singular perturbation parameter, are proved
然後,考慮此方程在分層網格剖分上的雙二次有限元逼近,在-加權h ^ 1 -模意義下得到了至多相差一個關于攝動參數對數因子的擬最優階收斂的誤差估計。The fundamental ideas and methods of this paper are also illuminated in this chapter. in chapter two, a one - dimensional and semi - closed shallow sea mode is studied. the approximate analytical expressions of the water level at the top of the bay induced by the nonlinear interaction between the storm surges and the astronomical tides are obtained by using the perturbation method
在第二章里,研究了一維半封閉水域中的非定常風暴潮與天文潮非線性相互作用的問題,用攝動方法求出了具有實際意義的海灣頂部增水水位的一階近似解析表達式,並給出了增水過程曲線。Using the perturbation transfer matrix method as well as the tested data in the laboratory, the 1st and 2nd order perturbed identification of dynamic parameters of the rotor of a boiler pump is made
摘要利用攝動傳遞矩陣法,結合實驗室的試驗,對某電站鍋爐給水泵轉子的動力學參數進行了一階和二階攝動識別。4. based on the sensitivity analysis by a step - perturbation test for several most important parameters, the effective interfacial area is found the most sensitive parameter, which affects the separation efficiency in structured packing column significantly
4 .基於階躍攝動測試,對非平衡模型主要參數進行了靈敏度分析,結果表明模型中的有效相接觸面積的靈敏度最大。A class of second order singularly perturbed eigenvalue problems
一類二階奇攝動特徵值問題The 1st and 2nd order perturbed identification results that represent the strengthened effects on bending rigidity of the rotor caused by the impellers and the sleeves on the shaft of the pump are given, and the modified dynamic models of the rotor are obtained
給出了給水泵轉子上的熱裝葉輪、軸套對轉子剛度產生加強作用的一、二階攝動識別結果,得到了修正的給水泵轉子系統動力學計算模型。By using the asymptotic analysis method and the diagonalization technique, considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation. under appropriate assumptions, the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well
研究三階非線性積分微分方程組邊值問題的奇攝動.在適當的條件下,利用漸近分析方法和對角化技巧,證得解的存在性並給出解的漸近展開式及其餘項估計Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the poincare - lindstedt method, are discussed in detail through a duffing oscillator with delayed velocity feedback. it is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. an ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution
其次,以一具有時滯速度反饋的duffing系統為例,研究了經典攝動法如多尺度法, poincar - lindstedt法等在求解時滯微分方程級數解時的適用性和局限性問題,指出利用這些方法只能有效求得系統的前兩階近似解,而在求系統的三次以上近似解時會出現矛盾或二義性。We study the singular perturbation of boundary value problem for a class of higher order ordinary differential equation, the solution is shown to exhibit double layer behavior
摘要研究一類高階微分方程兩點邊值問題的奇攝動,揭示了其解分別在兩端點呈現雙重邊界層的性質。Upper and lower bounds of eigenvalues of uncertain closed - loop systems with second - order perturbation
不確定性閉環系統特徵上下界的二階攝動法A finite element solving the elliptic fourth order singular perturbation problem need to be a convergent plate element and to be convergent, uniformly with respect to the parameter e
數值結果表明此元有較好的收斂性。求解四階橢圓奇異攝動問題的有限元應是收斂的板元,並且要關于(A new type of viscoelastic stochastic finite element method is established using first - order perturbation theory based on local averaging method of random field and karhunen - loeve expansion theory of random process. the amount of computations is greatly reduced by transforming correlated random variables to a set of uncorrelated random variables. the relations of different random response variables are analyzed and monte carlo simulations for viscoelastic stochastic structures are investigated
基於隨機場的局部平均法以及隨機過程的karhunen - loeve分解理論,通過一階隨機攝動方法建立了考慮材料近似不可壓縮的粘彈性隨機有限元公式,由相關結構分解減少計算量,分析了各結構隨機響應量之間的關系,給出了數字特徵的計算方法,研究了粘彈性隨機結構的montecarlo模擬驗證方法。The first - order perturbation method correct for forcing decoupling method based on perturbation theory is put forward to decrease error ; iii. the complex modal method is introduced into analysis of non - classical damping systems to eliminate error of forcing decoupling method, and improve the complex modal response spectrum, which can apply to design of non - classical damping systems ; iv. for exerting the energy dissipation capability of each device, a two - step optimum method, whose controlling function is extremum expectation of interbedded displacement, is put forward to optimize the number and position of device ; v. the problem of iterative method applied to analyze energy dissipation systems is indicate, and give some primary advice based on pilot study
為改善上述缺點,本文進行了以下的研究工作:在忽略耗能器附加質量的基礎上,推導出適用於耗能減震結構的攝動法,減少振型分解法在迭代計算過程中的工作量,加快計算速度;針對運動方程的強行解耦所產生的誤差,根據攝動法原理,對其進行一階攝動修正;為消除強行解耦振型分解法用於非比例阻尼結構分析時產生的誤差,引入狀態空間對系統進行復模態分析,並改進了基於復模態理論的、適用於非比例阻尼結構設計的雙反應譜方法;對于耗能器的數量和位置優化進行了一些探討和研究。By using vector random field model and second - order perturbation method, viscoelastic stochastic finite element formulation is developed, which can take the correlation of random parameters into account and is suitable for stochastic structural analysis with larger variance of the uncertainties
利用向量隨機場模型和二階隨機攝動方法,給出了相應的粘彈性隨機有限元列式。能夠考慮參數的相關性,更加接近於prony級數的參數測試過程。For initial rectangular and hexagonal disturbances on the interface, nonlinear fluid mechanics governing equations are solved respectively with the perturbation method, and 2nd - order approximate solutions are obtained. then effects of nonlinearity on r - t instability are discussed, and its significance is manifested
應用攝動方法求解非線性的流體力學方程組,分別針對矩形和等六邊形的界面初始擾動,得到了擾動發展的二階近似解,並分析了非線性對r - t不穩定性發展的影響,指出非線性在其中的重要意義。This paper studies the corner layer behavior in quasi linear systems with turning points. under the appropriate conditions and by usin g the theory of differential inequality, the existence of the solution and its c omponentwise uniformly valid asymptotic estimation are obtained when the reduced solution does not have a continuous first - derivative in some point of ( 0, 1 )
奇攝動轉向點問題是來自量子力學及其他物理力學中的重要問題,特別對非線性系統的轉向點問題,已有的結果甚少,文章研究一類具有轉向點的擬線性系統的角層現象,在適當的假設條件下,利用微分不等式方法證明了當其退化解在( 0 , 1 )內某些點上一階導數不連續時解的存在性,並得到了解的按分量的一致有效的漸近估計。A class of boundary problems of singular perturbation with a higher - order turning point and resonance
一類具有高階轉點的奇攝動邊值問題與共振Based on the first order perturbing solutions, the thesis obtained the long term relative perturbation of equal semi - major axis formation, which is removed by adjusting semi - major axis of the flying - around satellite
接著,基於一階攝動解,得出了等半長軸繞飛編隊的長期相對攝動規律,並通過調整環繞衛星的半長軸消除了長期相對攝動。Using the matching condition, a class of nonlinear singularly perturbed problems for two boundary layers are discussed. asymptotic expansion of solution for boundary value problem are obtain
摘要利用匹配條件,討論了一類三階非線性奇攝動問題,得出了奇攝動邊值問題的漸近展開式。A class of singularly perturbed problems for third order nonlinear equations
一類三階非線性方程的奇攝動問題分享友人