second order perturbation 中文意思是什麼

second order perturbation 解釋
二級微擾
  • second : adj 1 第二的；第二次的；二等（的）。2 次等的；較差的；劣於…的 （to）。3 〈美國〉較年輕的。4 另一...
  • 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. 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
  2. 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
  3. 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。
  4. The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem

    （ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。
  5. 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。
  6. The second aspect : from qgp kinetic equations with collision integrals, by using the relaxation time approximation, we calculate the distribution functions to the second order correction. we obtain the distribution functions for quarks ( and anti - quarks ) and gluons under perturbation of the fluctuation of the color field. then in the high - temperature - low - density area, we discuss the characteristics of the distribution functions, and use t hem to get the net baryon density and the energy density

    第二，從有碰撞項的qgp動力論方程出發，忽略自旋，在色漲落擾動下，利用弛豫時間近似，得到夸克和膠子分佈函數的二級修正，通過數值分析重點討論了高溫低密情況下qgp中成分粒子分佈函數的特性，並且由分佈函數得到凈重子數密度和能量密度。
  7. 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。
  8. 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
  9. 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。
  10. Analysis second order perturbation of step - index multilayer planar waveguides with gain and losses

    多層突變復折射率平板光波導的二級微擾分析
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