弹性单元 meaning in English
elastic element
Examples
- In order to avoid the difficulty in computing the general inverse of flexible matrix in legendre transformation , this paper studies the mixed coordinates formulation for some quadrilateral plate bending elements instead of fully formulating in ( e , n ) plane for their original plane elasticity elements
为了克服legendre变换中对单元柔度阵求广义逆的困难，对于原平面弹性单元是在参考坐标系中列式的情形，本文研究了在弯矩函数空间的混合坐标列式。 - Lastly the above stiffness matrix , the nodal variables of which are the dual of stress functions , is replaced by a new one with simple displacements vector regarded as unknown . such finite element satisfies homogeneous equilibrium equations and can pass the patch test as long as the original plane elasticity element can pass the corresponding patch test
所得到的板弯曲单元在单元内部满足齐次平衡方程，并且只要原始平面弹性单元能通过常应变分片试验则转换得到的板单元一定能通过常曲率分片试验。 - The method removes the bottleneck of transformation from complementary energy element with stress functions vector to potential energy element with simple displacements vector . what is the most important about this method is that it never destroys the original convergence of the transformed plane elasticity element and that it can maintain the original precision
本文方法列式简单，所得板弯曲单元皆可通过常曲率分片试验、有正确的刚体运动模式并具有与原始平面弹性单元相称的良好精度，从而达到了将平面弹性单元转化为板弯曲单元的目的。 - On the one hand , the linear interpolation in ( x , y ) plane makes it easy to separate the three - dimensional null subspace corresponding to rigid body motions , hence what is left to do is just to compute the inverse of a symmetric definite submatrix numerically . in this way the numerical difficulty in computing general inverse can be avoided
在物理坐标系中的线性插值函数便于将三个刚体模式分离出来，从而只需计算对称正定子阵的逆，避免了求广义逆的数值困难；在参考坐标系中的高阶插值函数则可保持原平面弹性单元的列式方式。 - However , some basic but crucial problems still remain unsettled : in the aspect of plate bending element , there exists the problem of imbalance between the development of plane elasticity elements and that of plate bending elements , which is not compatible with the similarity theory between plane elasticity and plate bending , for according to the theory the two systems , plane elasticity and plate bending , are isomorphic ; in the aspect of thin shell element , the ultimate aim is to construct the shell element which can perform well in both membrane - dominated and bending - dominated situations , yet so far no widely accepted guiding theory or practicable method has been found
但是，仍然存在一些基本而又不容忽视的问题有待研究解决。在板弯曲单元方面，不可否认的是板单元与平面弹性单元这两个研究领域的发展并不均衡，这一现状是与平面弹性和板弯曲的相似性理论不相协调的，因为该相似性理论表明平面弹性和板弯曲这两个理论体系是同构的。在薄壳单元方面，根本目标是构造在膜变形和弯曲变形分别占主导的壳体考题中都有良好表现的壳单元，但至今没有非常明确的指导理论和实施方案。