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| 題 名 | A New Multi-Time Step Integration Algorithm for Solving Structural Dynamics=以多時間區間積分演算法求解結構動力學 |
|---|---|
| 作 者 | 吳一聲; | 書刊名 | 永達學報 |
| 卷 期 | 1:2 2000.08[民89.08] |
| 頁 次 | 頁113-127 |
| 分類號 | 440.13 |
| 關鍵詞 | 多時間區間積分法; 次週期; 節點分割; 穩定性; Multi-time step integration method; Subcycling; Nodal partition; Stability; |
| 語 文 | 英文(English) |
| 中文摘要 | 一顯性多時間區間(次週期)積分法被提出來求解半離散的結構動力學問 題,架構於節點分割理論,此法推導自修訂的梯形法則法;為達到數值穩定,對 於非作用節點群的物理量位移和速度被理想化地假設不變動;而能量法被運用於 新演算法的穩定分析,且對每一節點群其臨界時間區間能以它的關聯次領域上之 元素的最高頻率來決定,依據數值檢驗此演算法的精確與穩定性,一些例子將用 來被評估。 |
| 英文摘要 | An explicit multi-time step (subcycling) integration method is proposed forsolving semi-discretized structural dynamics problems. Based on nodal partitiontheory, this method is derived from the Modified Trapezoidal rule Method (MTM). Toachieve numerical stability virtually fixed physical quantities, displacement andvelocity, are assumed for the non-updated nodal groups. The energy method is used toanalyze the stability of the new algorithm and the critical time step for each nodalgroup is determined in terms of the maximum frequency of the elements in theassociated subdomain. Some example problems are evaluated to numerically examinethe accuracy and stability of the algorithm. |
本系統中英文摘要資訊取自各篇刊載內容。