Finite Element Model Updating in Structural Dynamics
Finite Element Model Updating in Structural Dynamics
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DOI：
10.1007/978-94-015-8508-8
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
M. Friswell;J. Mottershead
中科院分区：
文献类型：
--
作者：
M. Friswell;J. Mottershead
在现代，有限元法已成为结构设计中普遍接受的分析方法。该方法导致一个离散系统的矩阵方程的建设，以代表一个连续结构的质量和刚度的影响。矩阵通常是带状对称的。由于质量和刚度矩阵是由具有简单形状的单个有限元的贡献组合而成的，因此对结构的几何复杂性没有任何限制。因此，每个有限元都拥有一个数学公式，该公式与简单的几何描述相关联，而与结构的整体几何形状无关。因此，结构被分成离散的区域或体积，称为单元。当节点由一条唯一的多项式曲线或曲面连接时，就定义了单元边界。在最流行的（等参，位移型）元素中，相同的多项式描述用于将内部元素位移与节点位移相关联。这个过程通常被称为形函数插值。由于相邻单元之间共享边界节点，因此位移场通常在单元边界上是连续的。图2.1说明了有限元的几何装配，以形成模型结构的网格的一部分。
In modern times the finite element method has become established as the universally accepted analysis method in structural design. The method leads to the construction of a discrete system of matrix equations to represent the mass and stiffness effects of a continuous structure. The matrices are usually banded and symmetric. No restriction is placed upon the geometrical complexity of the structure because the mass and stiffness matrices are assembled from the contributions of the individual finite elements with simple shapes. Thus, each finite element possesses a mathematical formula which is associated with a simple geometrical description, irrespective of the overall geometry of the structure. Accordingly, the structure is divided into discrete areas or volumes known aselements. Element boundaries are defined whennodal pointsare connected by a unique polynomial curve or surface. In the most popular (isoparametric, displacement type) elements, the same polynomial description is used to relate the internal, element displacements to the displacements of the nodes. This process is generally known asshape functioninterpolation. Since the boundary nodes are shared between neighbouring elements, the displacement field is usually continuous across the element boundaries. Figure 2.1 illustrates the geometric assembly of finite elements to form part of themeshof a modelled structure.