| 子区间法的稳定性和精度 |
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| 引用本文： | 崔旭明,孙克俐,丁学成.子区间法的稳定性和精度[J].天津大学学报(自然科学与工程技术版),2004,37(10):878-881. |
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| 作者姓名： | 崔旭明 孙克俐 丁学成 |
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| 作者单位： | 天津大学建工学院,天津300072 |
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| 基金项目： | 国家自然科学基金资助项目(58870326). |
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| 摘 要： | 子区间法在研究结构动力响应中优势明显，但尚需解决稳定性和精度等问题．文中分析了单步和两步子区间法递推格式的条件稳定性和精度，探讨了其无条件稳定递推格式的构造．在条件稳定区间，精度分析表明，单步和两步子区间法递推格式无周期延长和振幅衰减；对于无条件稳定的递推格式，其计算阻尼很大，无法满足计算精度的要求．
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| 关 键 词： | 子区间法 位移元 混合元 稳定性 精度 |
| 文章编号： | 0493-2137(2004)10-0878-04 |
| 修稿时间： | 2003年5月23日 |
Stability and Accuracy of Subinterval Method |
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| CUI Xu-ming,SUN Ke-li,DING Xue-cheng.Stability and Accuracy of Subinterval Method[J].Journal of Tianjin University(Science and Technology),2004,37(10):878-881. |
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| Authors: | CUI Xu-ming SUN Ke-li DING Xue-cheng |
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| Abstract: | Subinterval method possesses obvious superiority over structural dynamic response analysis,yet its stability and accuracy have not been well solved.This paper analyzes the conditional stability and accuracy analysis of single- and two-step subinterval methods,and discusses the unconditional stable recurrence algorithms.In conditional stable interval,the accuracy analysis shows that there are no period delay and amplitude attenuation in recurrence algorithms of single- and two-step subinterval method,while unconditional stable recurrence algorithms can't satisfy the requirement on calculating accuracy because of its high computational damping. |
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| Keywords: | subinterval method displacement element mixed element stability accuracy |
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