正方形矩陣 的英文怎麼說

中文拼音 [zhēngfāngxíngjǔzhèn]
正方形矩陣 英文
matrix #square matrices and related definitions
  • 正 : 正名詞（正月） the first month of the lunar year; the first moon
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 矩 : 名詞1. （畫直角或正方形、矩形用的曲尺） carpenter's square; square2. （法度; 規則） rules; regulations 3. [物理學] moment
  • 陣 : Ⅰ名詞1 （作戰隊伍的行列或組合方式） battle array [formation]: 布陣 deploy the troops in battle fo...
  • 正方形 : square
  • 矩陣 : [數學] matrix; array
  1. The equations of motion governing the axisymmetric elastic deformation of finite orthotropic cylindrical shells, involving the effect of transverse shear and rotational inertia, are derived. by applying the reverberation method, the displacement and the resultant forces of the shell in the phase space are expressed. then the transient waves in the finite orthotropic cylindrical shell subjected to the axisymmetric impact are obtained by using inverse laplace transforms. furthermore, the transient solutions are decomposed to the generalized ray integrals and computed numerically

    分析了計及剪切變形和轉動慣性的有限長正交異性圓柱殼中彈性瞬態波的傳播問題，採用回傳矩陣法，在相空間中給出了位移和內力的表達式。再利用laplace逆變換，得到正交異性圓柱殼受軸對稱沖擊作用時彈性瞬態波解，然後將其分解為若干廣義射線積分之和，並用數值方法求解之。
  2. In this thesis, studies are focused on as follows : ( 1 ) based on analyzing the general transfer - matrix, the conception of the generalized double layer soil model is proposed, and the transfer - matrix ( r ) of half - infinite elastic mass is introduce - d to the analytic expressions of stress and settlement under the uniform circular, rectangular and strip vertical loads in multi - layered soil ; ( 2 ) according to the analytic expressions of the additional stress and settlement under unifo - rm circular in multi - layered soil, rectangular and strip vertical loads, the programs are develop - ed to resolve and debugged. the results show that the programs are correct ; ( 3 ) through calculating the coefficient of additional stress on the central axis of uniform circ - ular vertical loads, under the corner point of the uniform rectangular vertical loads, and on the central axis of uniform strip vertical loads, and the settlement on the center of uniform circular vertical loads and uniform rectangular loads in double - layered soil, the characters of stress and settlement are discussed ; ( 4 ) a case, as an example, is studied with different calculation methods, such as traditional theory, fem. the results obtained are compared

    本文在已有研究成果的基礎上進一步開展了以下幾方面的研究： （ 1 ）在對層狀地基傳遞矩陣法中的總傳遞矩陣分析的基礎上，提出了廣義雙層地基模型的概念，並把半無限體的傳遞矩陣r引入到多層地基在圓形垂直均布荷載、矩形垂直均布荷載及條形垂直均布荷載作用下附加應力與沉降的解析式中； （ 2 ）根據多層地基在圓形荷載、矩形垂直均布荷載及條形垂直均布荷載作用下附加應力與沉降的解析式，編制了程序，調試通過並驗證了其正確性； （ 3 ）通過對雙層地基圓形垂直均布荷載中心軸線上的附加應力系數和荷載中心沉降，矩形垂直均布荷載角點下的附加應力系數和荷載角點沉降及條形垂直均布荷載中心軸線上的附加應力系數進行的計算，探討了雙層地基中的附加應力與沉降特性； （ 4 ）應用本文的層狀地基體系理論對一個工程實例進行了計算分析，並與傳統的計算方法的計算結果和有限單元方法的計算結果進行了對比分析，結果表明利用層狀地基理論計算更能反映地基中附加應力分佈的實際情況。
  3. Through ( multi - level ) bordered block partition of the power system topology matrix, a bbdf coefficient matrix which is suitable for above decomposition is formed. when the equation is solved with parallel iterative method, convergence acceleration is achieved through damping newton method

    通過採用（多重）對角加邊的方法進行電力網路拓撲分割，以形成適合以上分解法求解的對角加邊形式的系數矩陣，并行求解后並對迭代過程進行阻尼牛頓法修正，以達到加速收斂的作用。
  4. The results obtained from the simulation example suggest a good effect and significance of using gps simulation data for demonstrating the feasibility and validity of an od design or an algorithm of certain problem. 4 the ill - conditioned problem existing in relative kinematic od using gps carrier - phase data is discussed and then some preliminary efficient approaches for solving this problem are given out there are several reasons that cause the ill - condition pro

    （四）探討了星載gps相位相對定軌中的病態性問題，並嘗試給出了較有效的解決方案地面基準站、低軌衛星和gps衛星之間的幾何形狀分佈不佳，差分技術的應用使得模糊度之間及模糊度和三維坐標向量改正之間產生較強的相關性，往往都會導致星載gps定軌中的法矩陣的病態性。
  5. Point to above problems, under the financial support of the national natural science foundation ( exploration of high tech and new concept and new conceive ), the excellent young teachers program of ministry of education and national excellent doctoral dissertation special foundation, the static and dynamic real - time computation of elasticity - plastic mechanics, solving method of fuzzy finite element and other problems were studied in this paper. and some achievement was gained as following : ( 1 ) based on the positive definiteness of system stiffness matrix of finite element that was modified and the form of potential energy function of elastic body, the linear system of saturation mode ( lssm ) was introduced into the neural computation of finite element, by which the no - error solving of finite element neural net computation was realized in theory

    針對上述問題，在國家自然科學基金（高技術新概念新構思探索） 、教育部優秀青年教師資助計劃、高等學校全國100篇優秀博士學位論文作者專項基金等的資助下，本文對彈塑性力學問題的動靜態的實時計算、模糊有限元的求解方法等問題進行了系統和深入的研究，取得了以下成果： （ 1 ）根據有限元總剛矩陣經修正後具有正定性的特點以及彈性體勢能函數的具體形式，將飽和模式的線性系統（簡稱為lssm系統）引入到有限元的神經網路計算中，在理論上實現了有限元神經網路計算的無誤差求解。
  6. Earthquake and wind ), because of the damping matrixes of the two structures " motion equations are both non - classical, the dynamic equation ca n ' t be decoupled by the traditional real - mode analysis ( the mode - superposition method ). though, in this thesis the complex - mode analysis is used to solve the stationary and non - stationary random earthquake response of structures and their analytic expressions are got. on the basis of these expressions, the optimal parameters of the two structures " isolation & seismic decrease equipment are analyzed

    目前，基礎隔震結構、 「加層減震」 （ tmd減震）結構正逐步應用於工程實際，由於這兩種結構在動力荷載（如地震、風）作用下動力方程中的阻尼矩陣為非經典情形，傳統的實模態分析方法（振型分解法）不能使動力方程解耦，因此本文運用復模態分析方法求得了結構在平穩和非平穩隨機地震激勵下結構隨機地震響應的解析表達式，在此基礎上進行了基礎隔震和tmd減震裝置參數的優化分析。
  7. When the covariance matrix formed by securities yields is positive definite, we provide the model with transaction costs, the risk is b index risk, researching the model under short sale and no short sale separately

    在證券收益率之間的協方差陣為正定矩陣時，給出了以值風險為風險指標的含有交易費的證券組合投資模型，並分別在允許賣空和不允許賣空兩種情形下進行了討論。
  8. Steel frame with welding joint easily occur brittle collapse because of having a low ductility at joints then ， a semi - rigid connected steel frame has large the energy absorption capacity which can resist dynamic loads and the using steel qualities of bracing system and joints are small so adopting a semi - rigid jointed steel frame is economical and stable but for semi - rigid connections are complex and variable ， in conventional analysis and design of steel structures ， it is usually assumed that the connections between columns and beams are either rigid or pinned the analysis of steel frames adopting the assumption can simplify the procedure of analysis and design ， but cannot precisely reflect structural practical circumstance and the errors of calculating results are large ， even ， get incorrect conclusions semi - rigid connection was referred to in chinese code for design of steel structures ( 2001 ， 10 ) ， however ， it isn ’ t specified how to apply semi - rigid joints in design in fact it cannot be carry out the purpose of the paper give a calculating method that accords practical engineering and easily put into effect worthwhile it is going to promote the development of semi - rigid jointed steel frame in design and heighten structural stability in the paper ， at first some commonly employed methods for the modeling of connection behavior are introduced richard abbott function modeling of connection is adopted for extended end plate bolted connection by the 34 test data comparing to regression analysis indicate richard - abbott function modeling of connection represents an excellent fit to test data then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring ， base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects ofj ointed flexibility geometric non - linearity and shear forces in the connection deformations have been considered in and fixed - end forces are modified finally, a program for calculating semi - rigid with incremental - iterative method has been

    本文的目的就是為半剛性連接鋼框架的設計提供一種既符合工程實際又簡便易行的計算方法，供規范使用過程的補充、延伸或參考；同時，也將促進半剛性連接鋼框架設計技術的發展，為提高結構安全性能、節省工程成本發揮應有的作用。本文首先介紹了常見的幾種應用較為廣泛的樑柱連接彎矩轉角關系模型，在分析比較的基礎上，選用richard ? abbott函數模型作為外伸端板連接彎矩轉角關系模型，通過對34個外伸端板連接的實驗數據與回歸分析得到的參數比較可知，經回歸分析得到的此模型參數與實驗數據符合較好。然後用彈簧表徵連接點的轉動剛度，根據梁的轉角位移方程推導出半剛性連接的剛度矩陣，在單元剛度矩陣中考慮了節點柔性、幾何非線性和剪切變形的影響，並對固端力進行了修正，最後用增量迭代法編制有限元程序進行計算和分析。
  9. Then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring, base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects of jointed flexibility and shear forces in the connection deformations have been considered in and fixed - end forces are modified. finally, a program for calculating system reliability of semi - ridge steel frames with monte carlo method and finite element analysis has compiled for calculating and analyzing. by calculating results of several examples for steel frame in semi - rigid joints case show the change of joint stiffness and other kinds of factors affect the system

    接著本文在介紹和分析半剛性連接彎矩和轉角關系模型的基礎上，用帶有轉動剛度的彈簧表徵半剛性連接，推導出半剛性連接的剛度矩陣，對固端力進行修正，同時考慮了剪切變形的影響，編制了半剛接鋼結構平面框架的有限元程序bhpfl ，並在其基礎上編制了基於蒙特卡洛法的montecarlo - bhpfl有限元相結合的方法，進行體系可靠度的分析。
  10. At last, on several linear manifolds, the conditions for the existence of and the general expressions of the symmetric, skew - symmetric and symmetric semi - definite solution of the linear matrix equation f3 ( x ) = 0 are discussed. and the related optimal approximation solutions are obtained

    最後討論了六類線性流形土矩陣方程兒（ x ） = o分別具有對稱解，反對稱解和對稱半正定解的條件，得到了方程和l一s問題解的通式，同時解決了解的最逼近問題
  11. Another mode of the total t matrix is derivated from the integral equation. finally the calculation result of two dielectric cylinders pro ves the effectiveness of windowed function and the correctness of the expression of the total t - matrix. windowed function is also applied into fma, which can accelerate the computation speed of the fma

    另外還從積分方程出發，推出了遞推了矩陣法的總體t矩陣的另一種表達形式，最後計算了兩個不同介質圓柱體的散射場，證明了引入窗函數的有效性、推出的總體了矩陣表達式的正確性。
  12. ( 2 ) on the results of new quadratic pek method, the quadratic epek method is discussed. the convergence of the quadratic epek method is proved in hermite positive definite matrix. then the condition of hermite positive definite matrix is extended to the condition of the positive - definable matrix

    （ 2 ）在新型二次pe _ k方法的基礎上，討論了新型二次pe _ k方法的外插迭代二次epe _ k方法的收斂性，證明了當系數矩陣為對稱正定矩陣時二次epe _ k方法的收斂性，並將在正定矩陣條件下收斂的情形推廣到了可正定化矩陣的情形。
  13. The relation between some special matrices and its squares are discussed, in the sense of the star partial ordering, the minus partial ordering and lower partial ordering, the related results of the definite positive matrices are extended, some related results on the general matrices are obtained

    研究矩陣及其平方矩陣偏序之間的關系，解決了j . k . baksalary和f . pukesheim提出的公開問題，並推廣到更一般的情形，對於一般矩陣同時得到了若干新結果，推廣了關于（半）正定矩陣的相應結果。
  14. An advantage of this method is that it can be applied when the covariance matrix of the invested projects is positive semi - definite

    該方法的優點在於能夠處理各投資項目之間的協方差矩陣為半正定的情形。
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