具數值消散之結構相依外顯式積分法

使用逐步積分法來分析複雜非線性結構的動態反應是非常普遍的，而擁有良好的數值消散特性，更是近年來積分法發展的重點。本文將提出一個新的外顯式積分法來進行擬動態實驗，其擁有外顯式積分法與內隱式積分法的優點，其擁有外顯式積分法的運算效率、無條件穩定與可以抑制高頻振態而不影響低頻振態的數值消散特性，且可以同時克服外顯式積分法與內隱式積分法在擬動態實驗上的個別缺點。本文將經由數值論例與擬動態實驗來詳細探討此新積分法的各種特性，尤其是在對於含有高頻振態的擬動態實驗上。

關鍵字

無條件穩定；數值消散；外顯式積分法；擬動態試驗

並列摘要

The step-by-step integration is the most frequently adopted way to obtain the dynamic responses of complex nonlinear structure system. The major topic of this study is to develop a new integration method which can have computational efficiency, unconditional stability, and favorable numerical dissipation, which can accurately integrate the low frequency modes while it can effectively filter out the spurious participation of high frequency modes. Some numerical examples and actual pseudodynamic tests were conducted to confirm the numerical properties of the proposed integration method, especially the characteristics of favorable numerical dissipation.

並列關鍵字

Unconditional Stability ； Numerical Dissipation ； Explicit Method ； Pseudodymamic test

參考文獻

[17] 張順益，「適用於擬動態試驗之具數值消散特性的外顯式積分法」，中國土木水利工程學刊，第十卷，第三期，1998，第493-503頁。

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具數值消散之結構相依外顯式積分法

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