并进一步讨论了某些随机三角级数的性质。
And then the properties of some random trigonometric series are discussed.
用三角级数的形式给出了一组相应的超弹性解析解答。
Sets of hyperelastic analytical solution are presented with triangular function.
根据曲板的边界条件给出三角级数的解析解和有限条法的近似解。
According to the boundary conditions of the curved slab, an analytical solution by trigonometric series and an approximate solution by method of finite strips have been given.
然后利用双三角级数构造满足层板分层区位移边界条件的位移模态。
Then, a trigonometric series is applied to describe the displacement mode satisfying the boundary conditions.
本文把用重三角级数解矩形板固定边问题的方法推广到解自由边问题。
In this paper, the method of using double Foarier. Series to solve the problems of clamped rectangular plates is generalized to deal with problems concerning free edges.
从而可用重三角级数解带有自由边的矩形板的弯曲、稳定和自由振动问题。
Therefore it becomes possible to use double Fourier Series to solve the problems of bending, buckling and free vibration of rectangular plates with free edges.
本文提出了弹性地基梁平面问题的三角级数解法，建立了一般方程并导出了有关的计算公式。
This paper presents an analytical method of two dimensional problem of beam on elastic foundation by trigonometric series.
作者以前应用三角级数加多项式的方法解决了悬臂对称三角形板在均布载荷作用下的弯曲问题。
The authors used the method of trigonometric series and polynomial to solve the problem for the bending of a cantilever plate in a symmetric triangular shape under uniform load.
利用三角级数法模拟了轨道的不平顺，采用列车编组和桥梁组合的模型，建立了车桥耦合振动方程。
By simulating the track irregularities with trigonometric series method, the train-bridge coupling vibration equations are established based on the combined modal of train formation and the bridge.
利用三角级数法模拟了轨道的不平顺，采用列车编组和桥梁组合的模型，建立了车桥耦合振动方程。
By examining the test results of vibration for a few Bridges, it is found that train formation has a strong effect on bridge vibration responses.
计算结果表明，小波函数与三角级数相比，可以更好地描述控制函数的急剧变化，并使计算效率显著提高。
Computational results show that compactly supported wavelets can represent abrupt changes in control functions better than trigonometric series and considerably increase computational efficiency.
本文首先利用状态空间法结合三角级数展开技术，对简支的FGM梁、板、圆柱壳结构进行了弹性理论分析。
So, we employ an elasticity method, i. e. state space method, to analyze the simply-supported FGM beams, plates and cylindrical shells.
将功能梯度三维矩形板的位移变量按双三角级数展开，以弹性力学的平衡方程为基础，导出位移形式的平衡方程。
The displacement components of a three dimensional functionally graded rectangular plate were expanded in the forms of double trigonometric series.
弹性薄板屈曲的临界压力计算，在弹性力学中一般都是采用双三角级数解法，计算过程比较复杂，工程中应用不方便。
In elastic mechanics, it is common practice to calculate critical loads in buckle of thin plates by means of double triangle series.
摘要利用由三角级数和幂级数复合构成的函数项级数的有关性质，得到了一类变系数非齐次调和方程边值问题的级数解。
In this paper by using the property of Fourier series a compound series consisting of trigonometric series and power series is established.
本文首先使用初等方法导出三角形与四边形的等周不等式，进而用富里埃级数方法解决了一般等周问题。
We deduced equal perimeter inequality of triangle and quadrangle by elementary mathematical methods first and solved general equal perimeter problems by using methods of Fourier series.
“三角课”诺尔曼说，“一种高级数学。”
三角表达式级数之和，用在周期函数分析上。
The Periodic Solutions Expressed in Terms of Jacobian Functions for Drinfeld-Sokolov Equations;
三角表达式级数之和，用在周期函数分析上。
The Periodic Solutions Expressed in Terms of Jacobian Functions for Drinfeld-Sokolov Equations;
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