linear equation solution 中文意思是什麼
linear equation solution
解釋
線性方程解-
Fist of all, on the basis of the research of agone boffins, this author investigates the interaction mechanism of bolts and rock, and introduces the elastic ? lastic analytical resolution which is consist of the liner structure, the equivalent reinforced wall rock and the original wall rock in the simple loading from the equivalent well - proportioned view ; this solution is very important meaning for the engineering design. on the basis of coulomb friction model, the author introduces the finite element equation of the contact problem in order to provide the academic foundation for the application of msc. marc. finally, combining the engineering practice of the non - linear analysis of shield tunnel through yellow river of the south - north water transfer and using the model of friction, the author researched the evolution law of stress and displacement field in the structure of grouted rock bolts, and analyzed the effect to the stress and deformation of surrounding rock mass due to anchor supports
首先，在前人研究成果的基礎上，對錨桿與圍巖的相互作用機理進行研究，利用全長錨固錨桿的中性點理論，從等效均化的角度來考慮錨桿對圍巖的加固作用，並推導了在簡單荷載作用下，含有襯砌、等效加固后的圍巖、原始圍巖三者的彈塑性解析解，對工程設計有著重要的參考意義；在數值模擬方面，以考慮錨固圍巖滿足規則化庫侖摩擦模型為基礎，利用虛功原理推導了接觸問題的有限元方程的計算格式，為開發運用大型商用有限元軟體msc . marc提供了理論根據，也形成了本文的理論基礎：最後，論文以南水北調東線穿黃隧洞穩定性分析項目為工程實例，利用本文所述的接觸問題的摩擦模型理論，對錨桿支護結構的應力場、位移場的變化規律進行了研究，分析了加錨支護對隧洞圍巖應力、變形的影響。 -
The thermodynamic free energy on mixing and the spinodal equation in ternary homopolymer blends were obtained by making plausible approximation based on flory ' s equation of state theory. because of the non - linear behavior of the spinodal equation, a numerical solution approach was used and succeeded in solving the problem. spinodal of polystyrene ( ps ) / poly ( vinyl methyl ether ) ( pvme ) / poly ( 2, 6 - dimethyl - 1, 4 - phenylene oxide ) ( ppe ) were simulated over a wide temperature range and the calculated result was coincidence with that of the literature
將上述方法用於已知狀態方程參數的二元均聚共混體系聚苯乙烯（ ps ） /聚甲基乙烯基醚（ pvme ） ，三元均聚共混體系聚苯乙烯（ ps ） /聚甲基乙烯基醚（ pvme ） /聚2 ， 6 -二甲基1 ， 4 -苯撐氧（ ppe ） ，得到一系列不同溫度下的spinodal相圖，預測結果與文獻報道吻合，在此基礎上進一步研究了聚合物的分子量對體系相行為的影響。 -
( 4 ) finally, the ginzberg - landau equation is considered. by the ansatz method, the chirped femtosecond solitonlike solution is given, and the stability of the solutions are studied in detail by linear stability analysis with variation method. also the long - distance stability of the ultrashort pulse and the interaction between the solutions are also discussed by numerical method
（ 4 ）討論描述超短光脈沖傳輸的高階ginzberg - landau方程，給出該方程的啁啾類孤波解，並利用變分法解析地討論啁啾類孤波解的線性穩定性，同時研究這種類孤波解的長距離穩定性和相互作用。 -
The specified solution formula derivation of second order non - homogeneous linear differential equation with constant coefficients
二階常系數非齊次線性微分方程特解公式的推導 -
In chapter 2, we discuss the problem of the relationship between the solution of non - homogeneous linear differential and small function. in chapter 3, we investigated the relationship between exponent of convergence to zero - sequence of the solution of certain homogeneous linear differential equation f ( k ) + a ( z ) f = 0 and the order of growth of a ( z )
其中第二部分討論了非齊次線性微分方程解取小函數的收斂指數，第三部分研究了齊次線性微分方程f ~ （ k ） + a （ z ） f = 0的解的零點收斂指數與a （ z ）的級的關系 -
The subject of this thesis is to study ironless moving coil linear permanent magnet synchronous motor and the major works in this thesis are summarized as follows : 1 ) two analytical formulas are derived by concentrated current method and distributed current method to determine the magnetic field due to pm, based on the current model of pm. besides, two method ( magnetic charge method and solution by laplace equation method ) are also introduced with comparing their advantages and disadvantages. then the effects of the motor parameters on the flux distribution are discussed
本文對空芯動圈式直線同步電動機進行了深入細致的研究，內容包括： （ 1 ）採用電流模型推導出兩種計算永磁磁極二維氣隙磁場的解析公式（集中電流法、分佈電流法） ，同時介紹了兩種永磁電機氣隙磁場計算方法（磁荷法，直接求解拉氏方程法） ，分析各種方法的優缺點，討論電機參數對氣隙磁密的影響； （ 2 ）介紹了單層同心繞組的布置方式，根據安培定律推導出空芯動圈式直線永磁同步電動機的靜推力計算公式，分析靜態力?位移特性； （ 3 ）建立空芯動圈式直線永磁同步電動機動態模擬模型，模擬不同驅動方式下電動機起動、穩態運行時電磁力、速度、位移的變化情況。 -
The symmetric orthogonal anti - symmetric solution of linear matrix equation atxa
的對稱正交反對稱解及其最佳逼近 -
The anti - symmetric orthogonal anti - symmetric solution of a linear matrix equation and its optimal approximation
一類矩陣方程的反對稱正交反對稱解及其最佳逼近 -
This is a homogeneous linear equation, which always has the trivial solution w≡0.
這是一個齊次線性方程，總是有零解W0。 -
We study in this paper the filtration problem in partially saturated layered porous media in one dimensional. that is the thid problem boundary value problem of on dimensional degenerate quasi - linear elliptic - parabolic equation with discontinuous coeffi - cients. the existence, uniquess of the solutions and some properties of the solution are proved
本文主要討論一維有限雙層多孔介質中部分飽和的滲流問題，即具有間斷系數的一維擬線性橢圓-拋物退化方程的第三邊值問題。證明了該問題的解的存在性、唯一性及弱解的邊界性質。 -
In chapter 2, the ii ordering is presented and the arbitrary functions and the arbitrary constants are least in the solution of formal series under the ii ordering by illustration ; furthermore, the author introduces the application of the standard form of reid to ascertain the target equation of linear constant partial equations
在第二章中，作者給出了reid標準型演算法中的型序關系，通過舉例說明在型序下，得到的形式冪級數解中任意函數和任意常數的個數最少；並提出了reid標準型的一個重要應用：確定線性常系數偏微分方程組的目標方程。 -
In this paper, we aim at establish heat and mass coupled transfer model in the building wall, the emphasis of this study lies in creating a coupled and non - linear diferential equation system for the heat air and moisture transfer in the wall, which can be described by means of continuum mechanics and irreversible thermodynamics, the most dominant factor is moisture conten 9la gas pressure pc and temperature t, for the description of heatair and moisture transport, the general mass balance equation can be expressed by the temporal change of moisture conten 9 l, gas pressure pc and temperature t that means, in order to create a closed solvable equation system, the other additional dependencies have to be found, which the other variable depending on the variables of the solution : moisture conten 6 l gas pressure pc and temperature to the model is verified by the numerical simulation software which has been developed about building wall.,
根據節能設計要求，本文用熱力學的方法，並根據多孔介質中多相流體流動描述方面的最新研究成果? ?體積平均方程，建立了墻體熱、濕和空氣耦合熱質傳遞模型，並推導出熱、濕和空氣耦合傳遞等效擴散方程；找到建築墻體熱、濕及空氣耦合作用下熱質傳遞過程的主要影響因素濕容量_ l 、氣壓p _ c和溫度t 。開發了單體材料墻體熱質傳遞數值模擬軟體，用實測數據對軟體進行調試並對模擬計算結果進行了驗證。模擬出了單材料墻體在熱、濕和空氣耦合作用下建築墻體內的溫度和濕度分佈規律。 -
In order to improve the numerical solution of coupled equation to the dam - reservoir interaction system, the high - precise integration is generalized from linear problem to the nonlinear one. this work promoted the development of high - precise integration applied to the coupled system of fluid - solid
本文首次將非齊次精細積分方法從線性荷載的特殊情況，推廣到普遍情況，並導出了具體實用的分析方法，有力的推動了流固耦合及動力系統瞬態反應的高精度求解方法的新發展。 -
Firstly, the integral - differential equation described the radiation field evolution is derived, and then the instability of its solution is also investigated analytically. by using the perturbation and iteration method, the threshold detuning and threshold linear growth rate of the unstable solution are analyzed and discussed in detail
首先，建立了一個描述輻射場演化的積分一微分方程，解析分析了系統解的不穩定性，並採用線性方程解的微擾迭代方法進一步對系統不穩定解出現的失諧量閾值和線性增長率閾值等作了詳細討論。 -
By using the nonlinear estimate in chapter 4 together with the strichartz estimates of linear wave equation, we prove the global well - posedness of the self - similar solution of the wave equation with general nonlinear term
> s 。時，分別稱h 『 ， hs ） p ， h 『為對應於三類方程的次臨界空間，反之則為超臨界空間.取自相似解初始條件的一個特例tl 。 -
With the assumption of insignificant vibration and the results obtained in the sixth chapter, the linear solution for the motion equation of forced vibrating pipe with fixed supports in two ends in steady vibration is derived
首先，在微小橫振動假設前提下，利用第六章的計算結果，用線性化方法推得了兩端固支水下輸液管道在穩態繞流條件下的強迫振動方程的解。 -
To assure astringency, some technologies have been used such as iterative penality function methods, assemblage mass matrix, reduced integration algoritlun, newton iteration method with parameters for non - linear equation set, introducing relax factors and double steps solution and so on, and an algorithin for solving the nonlinear equation set of flow field by fem has been presented
基於有限元法建立了流場求解列式，為保證其收斂性，採用了迭代罰函數法，集中質量矩陣，縮減積分計算，帶參數的newton迭代求解，引入松馳因子及雙層解法等技術，提出了一套適合流場有限元方程計算的非線性方程求解方法。 -
We introduce a method that the line - plane relation in the geometry space can be determined by analyzing the structure of the solution space of the derived - system of the system of linear equation
摘要講述了如何通過分析線性方程組導出組的解空間結構去判定幾何空間中的線面關系。 -
In the study of the lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. outside of a large disc, using the symplectic transformation of the hamilton system to estimate the iteration of the successor map. applying the moser ' s small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded
在碰撞運動的lagrange穩定性的討論中，給出了漸近線性方程碰撞解有界或無界的條件，在充分大的圓盤外，通過hamilton系統的辛坐標變換的角度平均來估計后繼映射的迭代，應用moser小扭轉定理得到不變曲線從而給出在一定條件下碰撞解有界的證明，碰撞解無界性的證明將採用直接估計后繼映射的方法給出。 -
This paper pointed out and demonstrated the mistake and one - sidedness of huang jia - ying ' s and wang hua - yi ' s theories about gain solution between non - input nodes and other arbitrary nodes and put forward general methods of solving the problem by using linear equation system and mason ' s gain formula according to the equivalence relation of topography and linear equation system
摘要指出了黃家英和王劃一兩位先生在討論非輸入結點與任意結點間增益時存在著的錯誤性、片面性；並利用拓撲圖與線性方程組的等價關系，得出運用線形方程組求解的一般性方法，同時對兩位先生出現的問題作了證明；最後又給出了用梅遜公式求解的一般性方法。
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