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目的是解释和确定约束有限条法中不同的正交化、规一化的基对模态分解和模态识别的敏感性。有限条法为薄壁构件的变形与整体、畸变、局部屈曲,以及其他(例如:剪力和横向扩展)的区分提供了一种力学方法。对于薄壁构件的特征值屈曲分析,该方法使得与任意给定的特征模态(模态分解)得以区分,或者给定一般定义的特征值模型(模态识别)。通过建立被认可的模态识别和模态分解的方法,以完成对薄壁构件强度的预测,以及模态间相互作用的进一步研究。同样地,选用正交化、规一化的基的敏感性方法对提高薄壁构件的理解是很重要的,正如本文所示,机械定义用于区分引起整体、畸变和局部变形的向量空间,而不是区分其他(剪切和横向扩展)变形。此外,尽管该向量空间对应的基础和规范是唯一的,但对模态分解和模态识别方法有重要的影响。采用一些实例用于证明正交化、规一化的基的影响。基于如何选择正交化、规一化的基的基础上,采用约束有限条法。
The purpose is to explain and determine the sensitivity of different orthogonalization, normalized base-pair modal decomposition and modal identification in the constrained finite strip method. The finite strip method provides a mechanistic approach to the deformity and bulk, distortion, local buckling, and other (eg, shear and lateral expansion) of thin-walled components. For eigenvalue buckling analysis of thin-walled members, the method makes it possible to distinguish from any given eigenmode (modal decomposition), or to give a generally defined eigenvalue model (modal identification). Through the establishment of recognized methods of modal identification and modal decomposition to predict the strength of thin-walled components, as well as the further study of the interaction between modalities. Likewise, it is important to choose an orthogonal, normalized sensitivity method to improve the understanding of thin-walled components. As we have seen in this paper, the mechanistic definition is used to distinguish between vector spaces that cause the global, distorted, and local deformations, Instead of distinguishing the other (cut and scale out) distortions. In addition, although the basis and the norms corresponding to the vector space are unique, they have a great influence on the methods of modal decomposition and modal identification. Some examples are used to demonstrate the effect of normalization and normalization. On the basis of how to choose normalized and normalized basis, the constrained finite method is adopted.