rayleigh ritz method 中文意思是什麼
rayleigh ritz method
解釋
瑞利 里茲法-
Abstract : based on the principle of mininmum potential and using rayleigh - ritz method, the geometric non - linear analysis of higher bridge piers was solved in this paper. the new concept of equivalent horizontal force proposed by the author may be casily to calculate the second effect, which was produced due to the vertical forces and resisted by the piers and rubber pad bearings incorporately. the simple formula in this paper are applicable to calculate by hand, understood clearly without computation of successive iteration, higher precision and graspable easily for the disigmer therefore it has the practical significance
文摘:根據最小勢能原理，用瑞雷-里茲法解決了高橋墩的幾何非線性分析問題；其次，提出了等效水平力的新概念，可以方便地解決橋墩和板式橡膠支座聯合抵抗垂直力所產生的二次效應問題.筆者提出適合於手算的簡便計算公式，概念明確，勿須迭代運算，精度較高，易為設計人員掌握，因此具有實用價值 -
Firstly the method of rayleigh - ritz and galerkin were adopted to analyze the beams under loading combined antisymmetric end moments with transverse uniformly distributed load theoretically, and the results were compared with that offered by kirby, p. a and nethercot, d. a, it showed that result was approximate and even lower and so to some extent the approach used in the paper is practice. secondly several principal factors that affect the beam stability were analyzed respectively, especially the shortening effect was mentioned scarely in some literature so far. at last, the author adopted the matlab to program the finite element software to analyze numerically, the results derived from it were agreed well with it
本文分別採用了rayleigh - ritz法和galerkin法從理論上分析了反對稱端彎矩及橫向均布載共同作用下樑的等效彎矩系數，並與kirby ， p . a和nethercot ， d . a分析結果進行對比，結果表明本文採用的方法得出的等效彎矩系數與其得出結果比較，在均布荷載與端彎矩比例相差不大時基本接近或偏小，說明此方法是可行的，而當均布荷載與端彎矩比例較大時，應根據均布荷載作用進行彎矩等效方法來計算。 -
The rayleigh - ritz method is used to lead to analytical expressions for the stiffness and mass matrices and load vector as well as their sensitivities, which uses the simple polynomials to define assumed displacement functions, geometry and construction of wing structures. excluding some selected terms from the displacement functions or using stiff springs at the specified locations imposes boundary conditions. the accuracy of calculated results is improved by including transverse shear effects and using multiple sets of ritz functions in the analysis
它使用簡單多項式作為ritz基函數、定義翼面的幾何和結構參數，利用rayleigh - ritz方法導出翼面結構的剛度矩陣、質量矩陣和載荷向量及其靈敏度的解析表達式，通過排除位移函數中某些選定的項或在指定點使用約束彈簧施加各種邊界條件，考慮橫向剪切變形和使用多組ritz基函數改進分析的質量，使用等效蒙皮和等效夾芯技術提高計算效率。 -
New model calculating unsteady nonlinear oil - film forces by rayleigh - ritz method
李茲法求解瞬時非穩態滑動軸承油膜力的新演算法 -
Thirdly, buckling model for plates with built - in circular or elliptic delaminations is established by employing rayleigh - ritz method
用瑞里?李茲方法建立了含內埋圓形或橢圓形脫層板的屈曲分析模型。 -
Researchers suggested many numerical methods convenient for the engineering, such as the rayleigh - ritz method, galerkin method, finite difference method, finite integral method, finite element method, etc
研究人員先後提出了便於工程應用的瑞利-里茲法、伽遼金法、有限差分法、有限積分法、有限單元法等數值計算方法。
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