多層均等ラーメンの固有値問題の数式解を特徴づける多項式列の構成形態

概要

論文の詳細を見る
The eigensolution via difference calculus for uniform multi-story and single-bay moment-resisting frames, expressions in which are to be characterized by column-to-girder relative rigidity as well as number of stories, poses a truly fundamental yet probably unsolved problem of structural dynamics. In a preceding report, the author has presented its direct solution by means of hyperbolic and circular functions. The current note is intended to supplement the foregoing formulations with respect to alternative polynomial expression of the solution (modal functions for various spatial quantities including a frequency equation and a modal participation factor). The equivalent replacement therein leads to generating respective polynomial sequences according to increase of number of stories (and also to shift of position for spatial quantities). It is shown that certain recursion formulas of order 4 stand out for specifying all the sequentially linking chains.
一般社団法人日本建築学会の論文
2003-03-20