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      级数
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  series
    FINITE STRIP METHOD OF SINE SERIES AND POLYNOMIAL
    正弦级数与多项式的有限条法
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    Series Solution of Permanent Waves of Boussinesq Equation
    Boussinesq方程的永形波的级数
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    AN APPLICATION OF MECHANICS METHOD IN SERIES CALCULATION
    力学方法在级数计算中的应用
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    The Nonlinear Stability of Plane Poiseuille Flow for Non-Newtonian Power Series Fluid
    非牛顿幂级数流体平面泊肃叶流的非线性稳定性
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    SOME APPLICATION OF δ FUNCTION AND ITS FOURIER SERIES IN PLANE MECHANICS OF ELASTICITY
    δ函数及其Fourier级数在平面弹性力学中的应用
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  “级数”译为未确定词的双语例句
    Determining SIF K_1 of A Cylindrical Shell with A Surface Flaw Using An Improved TSCM
    用改进后的泰勒级数修正法确定具有表面裂纹的圆柱壳体的应力强度因子k_1
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    A Method for Interpolation of Fringe Orders Based on BP Neural Network
    基于BP神经网络的条纹级数插值方法
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    New suitable finite element interpolation function is presented for solving unsteady problems, which provides a new and rigorous theoretical basis for the full time-space FE analysis of these problems.
    本文提出一种新的适合非定常问题的混合有限元插值函数,即在空间用一般的单元插值函数,在时间方向按Ritz法并用泰勒级数展开,从而为这类问题的全时空有限元分析提供了新的更完密的理论基础。
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    Boundary Integral Solution of Thin Plate Stage Number Format
    薄板级数形式边界积分解
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    SOLUTION OF TIME-VARIATION DYNAMIC PROBLEM BY LEGENDRE POLYNOMIALS
    时变动力学的Legendre级数
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  series
       Finally we show for more than half of the infinite series that a presentation for the fundamental group of the space of regular orbits ofW can be derived from our presentations.
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       We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
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       This is done using a descending series associated to the complex structure and the Borel spectral sequences for the corresponding set of holomorphic fibrations.
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       The list consists of many series defined by simple equations, and of several exceptional superalgebras, among themE(3, 6).
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       We motivate and prove a series of identities which form a generalization of the
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         In this paper is presented a method of finding the. reactive moments distributed along the clamped edges of a rectangular plate by means of double sine series. Plate with two opposite edges clamped and the other two opposite edges simply supported, and plate with all four edges fixed are used as illustrative examples; the load being uniformly disdributed. The results we obtained are certainly exactly the same that we had obtained by using the method of superposition. However, the method by the double series...
            本文提供以双重三角级数解作用于矩形板的固定边的弯矩,以代替通常所用的叠加法。这样,一方面可以不必去解板的弯曲面的偏微分方程;另一方面,当作用于板的荷重并不连续而应用叠加法成为很困难时(因计算一四边简支的板在不连续的荷重作用下的弯曲面实非易事),这双重三角级数的解法仍不失为一有效的途径。 对于在计算上更为困难的一类问题,例如在弹性基础上的矩形板,及垂直有重与作用于板的中间面的拉力或压力共同作用的板,我们仍可用双重三角级数以计算作用于固定边的弯矩。 并且,由于能计算级数的极限和的值,所以上述这方法在运算上很为简单。
文摘来源
         The axisymmetric problems of a thick-walled elastic circular cylindrical shell with finite length are studied. A three-dimensional elasticity solution for such a shell is formulated in the form of the sum of two infinite series. They are made to satisfy all prescribed boundary conditions. Due to orthogonality property, the coefficient in each term of either series can be expressed in a linear function of the coefficients of the other series. Approximate numerical solution may be obtained from the truncated ...
            本文研究了一个弹性有限圆柱厚壳的轴对称弯曲问题.文中对这类壳体给出了一个表达成两个无穷级数之和的三维弹性理论解.这些级数的选择使它们能满足所有给定的边界条件.利用级数的正交性质,其中任一级数中的每项系数都可表达为另一级数的各项系数的线性函数.通过在级数中各取有限个项数进行计算,即可求得问题的近似数值解. 文中处理了一个两端刚性固定的有限圆柱壳体承受内、外均布压力作用的问题作为示范.还给出了计算实例,并将计算结果绘成曲线.这些曲线表明在两端刚性固支的情况下,经典板壳理论即使对薄壳的计算也是难以适用的.此外,这些结果还可作为各种厚壳理论进行比较的一个依据.
文摘来源
         In this paper, Zhang-Wei's asymptotic solution for the T lke's equation of axial symmetric toroidal shell in complex variable is extended to the solution of second order, both for centrifugal and for axial loads. Power series solution is also obtained. Both solutions are used in the calculation of C-type bellows. A comparision of calculated results shows close coincidence with each other for the whole range of ■ except at the vicinity of ■ =0, while for small ■ there exists small difference between them.
            本文应用T■lke的轴对称环壳复变量方程,将张维对此方程求得的渐近解推广到二级渐近解,并求得了级数解(对离心力载荷和轴向载荷)。这些解用于计算C-型波纹管。计算结果表明,二者符合较好,仅■=0附近有些偏差。
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