first order perturbation 中文意思是什麼

first order perturbation 解釋
一階攝動
  • first : adj 1 最初的，最早的。2 最上等的，第一流的。3 基本的，概要的。4 高音（調）的。n 1 最初，第一；第...
  • order : n 1 次序，順序；整齊；（社會）秩序，治安；狀況，常態；健康狀態；條理；會場秩序；議事程序，日程；...
  • perturbation : n. 1. 慌張，動搖；混亂。2. 狼狽，不安，焦慮。3. 引起不安[混亂]的事物；引起動搖的原因。4. 【天文學】攝動；【物理學】微擾。adj. -al
  1. Relativistic and mass - polarization effects on the energies are included as the first - order perturbation corrections. the quantum - electrodynamics contributions to the transition energies are estimated by using effective nuclear charge

    非相對論能量用rayleigh - ritz變分法確定；相對論和質量極化效應用微擾論計算；量子電動力學修正用有效核電荷方法計算。
  2. Through the analytic continuation of first order perturbation function in the - plane, we have that the integral path of dispersion equation should use the landau path

    。通過將一級微擾函數在整個復頻率平面上解析延拓，得到色散方程中的積分路徑應採用landau積分路徑。
  3. 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。
  4. The third part : according to the verified structural damage identification method and supposing the to - be identified parameters to be independent and have normal distribution, the scheme of identifying bridge structure damage is proposed by using the probability damage identification method. assume the zero - order, the first - order and the second - order perturbation statistics of the frequencies and the mode shapes of the bridge structures are known, and substitute them into the statistics property formulas of the frequencies and the mode shapes, as a result an objective function including the mean values and the variance of all the identified parameters is established. set

    對于連續梁橋，當損傷位置位於跨中附近時，大多數無損傷單元的損傷概率均在10 %左右，可作為小概率事件，不發生損傷，但與損傷單元相鄰的無損傷單元，其損傷概率達到20 %以上，很難被排除，只有對這些單元進行二次識別，才能得到比較可靠的計算結果;如果損傷位於支點附近時，則不會出現上述情況，對于無損傷單元，損傷概率都小於10 % ，不發生損傷，損傷識別結果
  5. 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。
  6. The design methods of the orpadtc, which are based on lyapunov stability and popov hyperstability, are discussed. in the chapter six, simulations are done for a few typical first order upldt and second order upldt. the simulation results prove that the orpadtc has good power in dead - time compensating and adaptive tracing when the process being controlled has terrible uncertainty and parameter perturbation, and it is easy to design

    第六章對幾個典型的帶有大時滯的一階、二階過程及高階過程進行了實例設計與模擬，證明了在受控過程存在嚴重不確定性的情況下，對象參考參數自適應時滯補償器具有良好自適應跟蹤能力和時滯補償能力，並且易於設計應用。
  7. The results of numerical experiments, using the four - dimensional variational data assimilation system of the nonhydrostatic mesoscale model mm5, show that : the tangent linear model and adjoint model conducted by keeping the " on - off " switches the same as the basic state, can provide a good approximation of the first - order information to the nlm perturbation and a good descent direction for the minimization procedure ; switching on and off at every other time step in the kuo cumulus parameterization scheme do n ' t impact the convergence rate of cost function ; the existence of the switches do n ' t impact improvement to the mm5 model rainfall prediction because that not only specific humidity, but also wind, temperature and pressure are assimilated into the model

    非靜力中尺度數值模式mm5的四維變分資料同化系統進行的數值試驗結果表明： 「開關」變量保持與基態一致，所構造的切向線性模式能夠提供關于非線性模式擾動的一階近似，伴隨模式所計算的梯度值能夠為最小化過程提供較好的下降方向；郭氏降水參數化方案中對流每隔一個積分步的交替發生並不影響目標函數最小化的收斂速度； 「開關」變量的存在也不影響將風、溫度、氣壓和比濕結合起來同化對mm5降水預報準確性的提高。
  8. 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。
  9. And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique

    ） dinser方程的求解問題，討論了自伴運算元的本徵函數的正交性和完備性，介紹了尋求微分方程的近似解常用的攝動方法，並從帶有某種擾動項的nls方程出發，利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程，通過對近似方程中運算元的特徵態的討論，引入適當的「導出態」 ，建立了運算元在l _ 2空間的特徵態的完備性。
  10. 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。
  11. In this case, we give the formulajs to calculate first - to third - - order perturbation coefficients of the eigenva1ues and eigenvectors

    在這種情形下，我們給出了計算特徵值和特徵向量1到3階攝動系數的計算公式。
  12. In this case, we give the formulas to caiculate first - to third - order perturbation coefficients of the eigenvalues and first - to second - order perturbation coefficients of the eigenvectors. 1n second case where the eigenprobiem for the first - order perturbation coefficients of a defective eigenvalue hajs repeated eigenvalues, we give the formulas to calculate the first - to third - order perturbation coefficients of the eigenvalues and first order perturbation coefficients of the eigenvectors. the third case is an extension of the first case, where one of the first - order perturbation coefficients of the eigenvalues associated with the lowest - order jordan blocks is zero

    第一種情形是特徵值一階攝動系數都不相同，在這種情形下，我們給出了計算特徵值1到3階攝動系數以及計算特徵向量1到2階攝動系數的計算公式；第二種情形是特徵值一階攝動系數有相等的情形，在這種情形下，我們給出了計算特徵值1到3階攝動系數以及計算特徵向量1階攝動系數的計算公式；第三種情形是第一種情形的擴展，此時對應于最低階jordan塊的特徵值一階攝動系數有一個是零。
  13. Based on the first order perturbing solutions due to the earth oblateness, the long term relative perturbation of equal semi - major axis formation is analyzed, which is removed by adjusting semi - major axis of the flying - around satellite

    在地球扁率攝動一階解的基礎上，分析了等半長軸編隊飛行的長期相對攝動規律，並提出了消除長期相對攝動的編隊設計方法，即調整環繞衛星的半長軸。
  14. The cyclic estimation approaches of chirp signals in additive nose or multiplicative noise are proposed, it presents a way for the parameters estimation of zero mean amplitude chirp signals. the estimation performances in the additive noise or multiplicative noise are analyzed by the first order perturbation analysis method, and the error variance expressions of the parameters estimation under large samples are derived

    針對加性噪聲情況及存在乘性噪聲的情況，提出了線性調頻信號參數的循環平穩估計方法，解決了零均值乘性噪聲的信號參數估計問題，並採用一階擾動分析方法，對兩種噪聲情況下的估計性能進行了分析，推導出了各參數的估計誤差方差公式。
  15. Abstract : in this paper, the authors study the initial value problems of a class of weakly nonlinear differential equation. the first and the second order approximate solutions are obtained. their accuracies are high and the more the approximate order is high, the more the accuracy is high. if the regular perturbation method is used to solve the same problems, then, when the independent variable is big, so is the error of the solution

    文摘:用插值攝動法1研究一類弱非線性常微分方程的初值問題，得到了一級及二級近似解.解的精度很高，並逐級提高.如果用正則攝動法求解此類問題，則當自變量較大時，誤差很大
  16. In this paper, these two methods are employed to consider three kinds of singular perturbation boundary value problems. in the first section, the existence of solution for a class of non - linear systems with three - point boundary problem is obtained by applying the differential inequality theory. in the second section, we use the differential inequality theory to discuss the non - monotone interior layer solution for one kind of singularly perturbed quasilinear boundary value problems with a turning point. in the third section, the diagonalization method is applied to study the existence of solution for a class of vector differential systems with two - point or three - point boundary problems. meanwhile, the asymptotic estimate of the solution as well as its first - order derivative and its second - order derivative is obtained

    在第一部分中，我們應用微分不等式理論證明了一類非線性系統三點邊值問題解的存在性；在第二部分中，運用微分不等式理論研究了一類帶有轉向點的擬線性奇攝動邊值問題的非單調內層解；在第三部分中，利用對角化方法研究了一類向量二點或者三點邊值問題解的存在性，並獲得解及它的一、二階導數的漸近估計。
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