非擾動解 的英文怎麼說
中文拼音 [fēirǎodòngjiě]
非擾動解
英文
unperturbed solution-
Furthermore, with the fourier series technique, the disturbance is discomposed into predominant mode and high frequency harmonics, and the nonlinear stability of the nonparallel boundary layer is studied
採用fourier級數的方法把擾動波分解為基本模態和高頻諧波模態，導出非平行非線性拋物化穩定性方程。With the fourier series technique, the disturbance is discomposed into predominant mode and high frequency harmonics. the nonlinear stability of three - dimensional disturbances for the blasius boundary layers is studied
藉助fourier級數的方法將擾動波分解為基本模態和高頻模態，研究了三維擾動的非線性邊界層穩定性問題。Thirdly, we obtain multiplicity of solutions for resonant non - homogeneous boundary perturbations from symmetric problem without parameter by a new perturbation method introduced by bolle in reference [ 4 ], applied in references [ 5 ] [ 6 ] and extend in reference [ 7 ]. references [ 5 ] [ 6 ] have considered some exceptive case while the section consider general case
再次，利用bolle在文獻[ 4 ]中提出的、被應用於文獻[ 5 ] [ 6 ]以及在文獻[ 7 ]中被推廣的一種新的擾動方法得到問題即不帶參數的對稱共振非齊次邊值擾動問題的多重解，在文獻[ 5 ] [ 6 ]中討論了非線性項為摘要幾種特殊情形的情況，此部分討論非線性項為一般情形的情況The major work is as follows : solution of two dimensional radiation or diffraction fluid field. this thesis extends multipole expansion method to adapt to disturbed fluid fields of 2d floating bodies with asymmetric forms, which is applied with symmetric forms originally. and given the solution of potential velocity and hydrodynamic pressure of radiation and diffraction fluid fields, which is incited by a 2d arbitrary form, actual application field of the multipole expansion method has been enlarged
關於二維擾動流場的求解：將通常僅適宜求解具有對稱形狀二維物體擾動流場的多極展開法（保角變換方法）擴展至非對稱形狀二維物體，給出了任意形狀二維物體的輻射和繞射流場的速度勢及水動壓力的頻域解，進一步擴大了多極展開法的實際應用范圍。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。In addition, it was the sign of the initial amplitude growth rate, not the manner of the interface motion that determined whether the amplitude could increase. at weakly nonlinear stage, mode - coupling equations were derived in cylindrical and spherical geometries. it showed that the nonlinear terms were inversely proportional to the position of the interface in cylindrical and spherical geometries
在弱非線性階段，推導了柱和球幾何中模耦合方程，結果表明：非線性作用項反比于界面的位置，界面的位置越小，非線性作用越強，反之越弱；同時柱幾何中模耦合方程的解表明，在收縮幾何中，擾動在界面兩側的發展是不對稱的，在弱非線性階段，不穩定性向內發展的部分受到慣性力的擠壓，而向外發展的部分受到慣性力的拉伸。This dissertation mainly investigates the properties of solutions of a class of quasi - linear wave equations with a viscosity, a nonlinear perturbation ( source term ) and a dissipative term ( damping term ), which arises from the longitudinal motion of a visco - elastic material. it contains the problems of existence and uniqueness of solutions, global existence, asymptotic behaviour and finite time blow up, etc. this thesis consists of four parts
本論文主要研究來自於物體的波動等應用領域中的一類帶有粘性項、非線性擾動項（源項）和耗散項（阻尼項）的擬線性波動方程解的定性性質，內容包括解的存在唯一性，解的整體存在性和漸進性態及解在有限時刻爆破等問題Based on netomac, a software package for power system simulation, the model and algorithm of pre - dispatch schedule in generation markets, excitation system parameter setting, and power system small signal stability anaylsis are studied in this thesis. the main work is as follows : a model of pre - dispatch schedule is proposed, whose target is to minimize the market purchasing price ( mpp ) in the whole pre - dispatch period. then according to the characteristics of pre - dispatch schedule, the model of pre - dispatch schedule is simplified to minimize the mpp in each pre - dispatch time, and a three - step algorithm of pre - dispatch schedule is designed : dealing with the optimal problem in the whole period of pre - dispatch with static planning method, solving the problem of combination of machines with pr1 method, resolving problem of optimal power flow ( opf ) with modified powell method
本文基於netomac模擬軟體，以發電市場預調度計劃模型及演算法、勵磁系統參數整定和電力系統小擾動穩定性分析為研究內容，主要做了以下工作：建立了以整個預調度計劃周期內的市場購電價格最小為目標的發電市場預調度計劃模型，並根據預調度計劃問題狀態數多、變量多、混合整數、非解析的特點，將預調度計劃模型的目標函數簡化為各時段的市場清算電價最小，設計了三段式預調度演算法：用靜態規劃法求解整個預調度計劃周期內的優化問題；用優先級法求解機組組合問題；用改進的powell法求解最優潮流問題。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。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。Thirdly, based on the thought of motion - based ambiguity resolution, a bi - satellite attitude determination method using non - planar baselines is developed making full use of the satellites ’ geostationary property. focused on movement mode demands, the dissertation brings forward a method by large angle yawing movement accompanied with small angle pitch vibration to efficiently solve the rank deficiency problem of vehicle planar motion
再次，在基於運動解模糊的思想基礎上，充分利用北斗衛星對地靜止的特性，提出了一種非共面基線的雙星定姿方法，並重點分析了對運動特性的要求，提出通過伴隨小幅俯仰擾動的大角度偏航運動方式來有效解決載體平面運動的觀測矩陣秩虧問題。Using an l2 energy method proves that the solutions of the general initial - boundary problem to this relaxation model converges time - asymptotically to a stationary wave or a rarefaction wave or superposition of these two kinds wave for small perturbation
對此鬆弛模型，用l ~ 2 ?能量方法證明了在小擾動的情形下，相應的一般初邊值問題的解漸近收斂到一個穩定波或一個稀疏波或這兩種非線性波的疊加。3 ) < wp = 12 > using perturbation analysis, the space - correlation loss and the bearing - estimated error for finite - bandwidth incoherently distributed sources are evaluated analytically, respectively. it is disclosed that bandwidth - induced bearing bias increases monotonously with the signal ' s relative bandwidth. when the relative bandwidth is not small enough to be negligible, the spatially - only processing cannot lead to accurate bearing estimate, that is, the joint space and time processing is necessary for high - precision bearing estimation
3 ）利用擾動分析方法，解析評價了有限帶寬引起的非相干分佈源的空間損耗及其對波達方向估計的影響；分析表明，帶寬擾動引起的方向估計偏差隨信號相對帶寬單調增加；當相對帶寬無法忽略時，為了得到高精度的波達方向估計，需要進行聯合空時處理。Under the assumptions of non - convexity and non - degeneration, it is proved that the solutions of the initial - boundary problem to this viscoelastic model tend towards the travelling wave solution of the corresponding cauchy problem time - asymptotically for zero boundary speed and small initial perturbation by a weighted energy method
對粘彈性模型，用權能量方法證明了在非凸非退化的情形下，當邊界速度為0 ，初始值具有小擾動時，具初邊值問題的解收斂于相應的柯西問題的行波解。We have simplified the model through obtaining the average system of the underactuated robot using averaging method which is efficient to deal with nonlinear system. the simulation results show that the real system and the average system have the same trajectory in the phase plane under the disturbance of periodic input of the actuated joint of the robot
將驅動臂的運動作為非驅動臂的擾動，建立了非驅動臂的動態模型，利用動態方程有效的近似解法?平均法，對非驅動臂的動態模型進行簡化，得到近似的平均系統，通過模擬計算驗證了二者具有相同的動力學特性。In lifting - surface theory, the non - liner phenomena of the trailing vortex in the transition wake area and of the tip vortex separation are considered. in surface panel method hyperboloidal quadrilateral panels are employed and the morino ' s analytical formulation is used to determine the influence coefficients. the more reasonable pressure kutta condition is satisfied at the trailing edge of propeller blade
在計算中，對于升力面理論，本論文考慮了過渡區尾渦收縮和葉梢分離的非線型現象的影響；對于面元法，本論文採用的是計算較為簡便的基於擾動速度勢的基本公式及雙曲面形狀的面元，在槳葉隨邊滿足更趨合理的壓力kutta條件，並用morino導出的解析公式計算面元的影響系數的快速有效的數值預報方法。The study of burning under the influence of small amplitude disturbances in ambient gas is a logical starting point for understanding the unsteady burning phenomena.
在周圍氣體小振幅擾動的影響下的燃燒研究，是了解非穩態燃燒現象合乎邏輯的起點。According to earth - bound and space - bound observations, the black drop is confirmed to be a mere optical illusion caused by the earth s atmospheric turbulence and insufficient resolution of small telescopes
根據世界各地及衛星的觀測，黑滴現象是由於地球大氣層的擾動及部分望遠鏡的解像力不足而產生的光學假象，並非由金星的大氣層造成。A new robust adaptive scheme which are used for tracking of this robot with parametric and bounded external uncertainties is proposed in this thesis. the controller is consist of a controller which is proposed by slotine1 ' 1 and nonlinear continued feedback compensation part. by estimating the unknown physical parameters of robot on - line, it can eliminate the effects result by parameters and external disturbances and guarantee gas and uniform boundedness of parametric estimation. the only information required in setting up the strategy is the output states of jionts, while the inversion of the inertia matrix or estimation the bound of the inertia matrix and measure the jionts accelerations are not needed. it is shown by simulations that the proposed control scheme has quicker convergence velocity and better control precision than paper [ 1 ] and control schemes at present
針對該模型具有參數及有界外部擾動不確定性時提出了一種新的魯棒自適應控制策略，控制器由基於slotine的控制器和非線性連續反饋補償控制器構成。通過在線估計機器人的未知物理參數，有效的消除了由參數及外部擾動所引起的不確定性影響，保證系統達到漸近穩定和參數估計一致有界。與現存的許多控制方法相比，該控制策略不需求解慣性矩陣的逆或估計慣性矩陣的界，不需測量關節加速度，而唯一需要了解的只是系統輸出的位置及速度狀態。The deflated restarted total minimization backward perturbation method ( drtminback ) is presented. when solving the nonsymmetric linear systems, the paper makes the total backward perturbation analysis to qmr method, and uses the total quasi - minimal backward perturbation ( tqmback ) technique. so the restarted total quasi - minimal backward perturbation ( rtqmback ) method is given
同樣地，對求解非對稱線性方程組的qmr方法作出了向後擾動分析，結合總體向後擾動范數擬極小化的技巧，給出了求解非對稱線性方程組的總體擬極小向後擾動（ tqmback ）方法。分享友人