Reduction of system matrices of plate in absolute nodal coordinate formulation by component mode synthesis method
Reduction of system matrices of plate in absolute nodal coordinate formulation by component mode synthesis method
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DOI：
10.1299/transjsme.2014dr0129
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Yuya Okazawa;N. Kobayashi;A. Torisaka
中科院分区：
文献类型：
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作者：
Yuya Okazawa;N. Kobayashi;A. Torisaka
本文在绝对节点坐标法（ANCF）的基础上，利用分量模态综成法，提出了一种48自由度柔性薄板单元系统矩阵的约简方法。研究发现，采用连续介质力学方法，且面内应变不太大时，ANCF板单元表示的弯曲刚度矩阵是恒定的。这一特性允许将Craig-Bampton方法应用于由ANCF表示的板的运动方程，从而减小板的系统矩阵的尺寸。通过三个数值算例，将该方法与传统的ANCF板进行了比较，验证了该方法的性能和精度。算例表明，该方法能较好地描述大变形和大旋转效应。与传统的ANCF板相比，使用该方法可以减少计算时间。当单元数增加时，这一特性对多板单元组成的结构进行数值模拟是有效的。
In this paper, we present a reduction method of the system matrix of a flexible thin plate element of 48 degrees of freedom, which is formulated on the basis of the absolute nodal coordinate method (ANCF) by use of the component mode synthesis method. We focus that the bending stiffness matrix expressed by the ANCF plate element is constant when the continuum mechanics approach is adopted and the in-plane strain is not so large. This feature allows applying the Craig–Bampton method to the equation of motion of the plate expressed by ANCF, and then it enable to reduce the dimension size of the system matrix of the plate. Three numerical examples that compare the presented method and the conventional ANCF plate are demonstrated to examine the performance and the accuracy of the presented method. From these examples, it is verified that the presented method can describe the large deformation and rotation effects as well as the conventional ANCF plate does. The use of the presented method is also verified to be able to reduce the computing time against the conventional ANCF plate. This feature is effective for carrying out numerical simulations for the structure composed of multiple plate elements when the number of elements increases.