排序方式: 共有28条查询结果,搜索用时 31 毫秒
1.
2.
A theory of elasticity for the bending of orthogonal anisotropic beams has been developed by analogy with the special case, which can be obtained by applying the theory of elasticity for bending of transversely isotropic plates to the problems of two deminsions. In this paper, we present a method to solve the problems of bending of orthogonal anisotropic beams and a new theory of the deep-beam whose ratio of depth to length is larger. It is pointed out that Reissner's theory to account for the effect of transverse shear deformation is not very approximate in the components of stress, 相似文献
3.
提出了基于改进位移模式的二维有限元线法超收敛算法.利用单元内部需满足平衡方程的条件,推导了超收敛计算的解析公式的显式,即将高阶有限元线法解的位移模式用常规有限元线法解的位移模式表示.用常规有限元线法解的位移模式与高阶有限元线法解的位移模式之和构造新的位移模式,基于线性形函数,采用变分形式推导了有限元线法求解的修正的常微分方程组.该算法在前和后处理同时使用超收敛计算公式,在原有试函数的基础上,增加了高阶试函数.使得单元内平衡方程的残差减少,从而达到提高精度的目标.对于二维Poisson方程问题,给出了有代表性的算例,结点和单元内的位移、导数的收敛精度得到了极大的提高. 相似文献
4.
将多尺度方法的思想与超收敛计算的解析公式结合起来,提出了改进有限元位移模式的算法。利用超收敛计算的解析公式,将高阶有限元解的位移模式用常规有限元解的位移模式表示。用常规有限元解的位移模式与高阶有限元解的位移模式之和构造新的位移模式,采用积分形式推导了单元刚度矩阵。该算法在前处理和后处理两个阶段都使用超收敛计算公式,在常规试函数的基础上,增加了高阶试函数,使得单元内平衡方程的残差减少,从而达到提高精度的目标。对于线性单元,本文结点和单元的位移、导数都达到了h4阶的超收敛精度。 相似文献
5.
测定了甲基纤维素在SDS溶液、和SDS与β-CD混合溶液中的凝胶化温度,讨论了SDS与MC之间疏水相互作用和SDS与β-CD之间包合作用对MC溶液凝胶化行为的影响. 结果表明,SDS与β-CD之间的包合作用远大于SDS与MC链上甲基之间疏水相互作用,在β-CD存在下,SDS对MC溶液凝胶化行为的影响可以被完全屏蔽掉. 由此可以进一步计算出在MC存在下SDS与β-CD之间的包合比是1:1,与在聚乙烯基吡咯烷酮存在下的包合比完全一致,但是与在带相反电荷聚电解质存在下的包合比并相同,主要是因为SDS与MC相互作用的方式和与聚电解质相互作用的方式有着本质的区别. 相似文献
6.
7.
8.
9.
本文从横观各向同性体弹性力学位移形式的基本方程出发,考虑板面承受横向荷载,建立了横观各向同性板弯曲的弹性理论.并由此建立了一个在板的每边能满足三个边界条件的弹性改进理论和一种新的厚板理论.文中求得了周边简支多边形板的弹性改进理论解,数值结果与三维弹性理论精确解的结果非常接近.新的厚板理论和以往的中厚板理论的系统比较表明,我们提出的厚板理论最靠近弹性理论的结果. 相似文献
10.
A theory of elasticity for the bending of transversely isotropic plates has been developed from the basic equations of elasticity
in terms of displacements for transversely isotropic bodies, which takes into account the loads distributed over the surfaces
of the plates. Based on this theory, a refined theory of plates which can satisfy three boundary conditions along each edge
of the plates and a new theory of thick plates are established. The solution of the refined theory for simply supported polygonal
plates has been obtained; and its numerical result is very close to the exact solution of the three-dimensional theory of
elasticity. A systematic comparison with the former theories of thick plates shows that the present theory of thick plates
is closest to the result of the theory of elasticity. 相似文献