Free and forced vibration analysis using the smoothed finite element method (SFEM)
Free and forced vibration analysis using the smoothed finite element method (SFEM)
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DOI：
10.1016/j.jsv.2006.10.035
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发表时间：
2007-04
影响因子：
4.7
通讯作者：
K. Y. Dai;Guirong Liu
中科院分区：
文献类型：
--
作者：
K. Y. Dai;Guirong Liu
光滑有限元法（SFEM）是近年来作者提出的一种新方法，它通过2×2求积来提高静力分析中标准四节点等参有限元法（FEM）的精度和收敛速度。在这项工作中，它被进一步扩展到自由和强迫分析的二维（2D）动态问题。结果表明，在不增加计算量的情况下，SFEM与相应的有限元相比，在求解动力学问题时具有更高的精度和更快的收敛速度。由于计算场梯度时只涉及形函数本身，不需要坐标变换，因此该方法易于实现。利用单元上的光滑变形梯度，研究了非线性弹性受迫振动问题。
Smoothed finite element method (SFEM) was recently proposed by the authors to improve the accuracy and convergence rate of the existing standard four-node isoparametric finite element method (FEM) by 2×2 quadrature in the static analysis. In this work, it is further extended to the free and forced analysis of two-dimensional (2D) dynamic problems. It is found that SFEM achieves more accurate results and higher convergence rates as compared with the corresponding finite elements in solving dynamic problems without increasing the computational cost. As only shape function itself is involved in computing the field gradients and no coordinate transformation is required, the method is very easy to implement. Nonlinear elastic forced vibration problem is also examined by using smoothed deformation gradients on each cell.