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11.
本文基于修正的势能泛函,引入适当的广义协调条件,导出了一种具有12个自由度的广义协调板弯曲扇形位移单元GC—S12,这种单元自由度少,列式简单,精度高。 相似文献
12.
卜小明 《应用数学和力学(英文版)》1993,14(9):859-866
In this paper,the theorems concerning the summation of Fourier series withparameter are given by using the Laplace transforms.By means of the known result ofLaplace transforms,many new,important problems of summation of Fourier serieswith parameter in mechanics can be solved. 相似文献
13.
In this paper, the axisymmetric problems of arbitrary thick spherical shell and solid sphere are studied directly from equilibrium equations of three-dimensional problem, and the general solutions in forms of Legendre series for thick spherical shell and solid sphere are given by using the method of weighted residuals. 相似文献
14.
In this paper, the bending problem of rectangular thin plates with free edges laid on tensionless Winkler foundation has been solved by employing Fourier series with supplementary terms. By assuming proper form of series for deflection, the basic differential equation with given boundary conditions can be transformed into a set of infinite algebraic equations. Because the boundary of contact region cannot be determined in advance, these equations are weak nonlinear ones. They can be solved by using iterative procedures.Doctor candidate in Civil Engineering Department of Qinghua University at present. 相似文献
15.
本文对最近几年发展出的基于修正势能泛函的广义协调方法作一概述,并进一步介绍了作为这类方法更一般化的双参数有限元法 相似文献
16.
无拉力Winkler地基上自由边矩形Reissner板的弯曲 总被引：6，自引：0，他引：6
本文提出了一种求解无拉力Winkler地基上自由边矩形Reissner板受任意载荷的弯曲问题的解析方法.通过适当设定满足可导条件的Fourier级数加补充项形式的挠度函数和剪力函数,把给定边界条件下的微分方程化成最简形式的无穷代数方程组.对于常规的Winkler地基,可直接求解;而对于无拉力Winkler地基,方程组为一组弱非线性代数方程组.使用迭代法容易得到解. 相似文献
17.
本文建立了含参变量富里叶级数的Laplace变换求和定理.利用Laplace变换表可以求得许多在力学上有重要应用的新的含参变量富里叶级数的和式. 相似文献
18.
厚球壳与实心球轴对称问题的一般解 总被引：1，自引：0，他引：1
本文试图从更一般的三维问题基本方程出发研究任意厚球壳与实心球的轴对称问题.对于受任意轴对称载荷的厚球壳和实心球体,文中运用加权残值法给出了以Legendre级数表示的一般解. 相似文献