Triangular ring element with analytic expressions for stiffness and mass matrix
Triangular ring element with analytic expressions for stiffness and mass matrix
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具有刚度和质量矩阵解析表达式的三角环单元
DOI：
10.1016/0045-7825(88)90124-7
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
Troels Ladefoged
中科院分区：
文献类型：
--
作者：
Troels Ladefoged
在环单元的情况下，刚度和一致的质量矩阵的生成的解析方法进行。纯轴对称问题的扩展与切向傅立叶展开的负载和相应的位移场。所采用的单元几何形状是一个三角形环单元与线性和二次位移假设，分别。不需要元件取向的先验假设。刚度矩阵和质量矩阵表示为由几个单元参数给出的若干基本单元矩阵的线性组合，并在求解轴对称固体非轴对称振动的计算机程序中进行了检验。特征值问题用子空间迭代法求解。矩阵被发现是非常稳定的数值。
An analytic approach for the generation of stiffness and consistent mass matrix in the case of ring elements is performed. The pure axisymmetric problem is extended with a tangential Fourier expansion of the load and corresponding displacement field. The element geometry employed is a triangular ring element with linear and quadratic displacement assumptions, respectively. No a priori assumption of the element orientation is required. The stiffness and mass matrices are written as linear combinations of a number of basic element matrices given by a few element parameters.The matrices are tested in a computer program solving nonaxisymmetric vibration of axisymmetric solids. The eigenvalue problem is solved by ‘subspace iteration’. Th matrices are found to be extremely numerically stable.