1軸が固定された3次元テンソルの相関特性

概要

論文の詳細を見る
Understanding of pointwise 3-D performances by means of various tensorial formulations can be essential in the structural dynamics for earthquake engineering. These tensors are real symmetric or more advantageously complex Hermitian, featured in addition by their non-negative definite properties. The 3-D instances are often put into a reduced situation where one of the three axes (practically the vertical axis) is rendered free from its variation of directivity. The current brief report examines mathematical regularities observed in such degenerately 3-D tensors. Emphases in the discussions made are placed upon the directional characteristics of cross correlation between the fixed axis and the remaining 2-D plane. Findings highlight simple relationships derived for complex Hermitian cases as well as for real symmetric cases. Also the dimensional classification of 3-D tensors is shown to be related entirely or partially to the appearence of correlation forms.
一般社団法人日本建築学会の論文
1992-03-20