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样条配点法计算动响应
引用本文:蔡承文,恽馥,张方洪. 样条配点法计算动响应[J]. 振动工程学报, 1989, 0(3)
作者姓名:蔡承文  恽馥  张方洪
作者单位:浙江大学(蔡承文,恽馥),浙江大学(张方洪)
摘    要:
本文以3次B样条函数作为时域的试函数,用双配点法建立起一个分析结构动响应的单步计算格式.通过对算法精度和稳定性的详尽分析,找到了两个值得推荐的方案:条件稳定的四阶算法(C1)及无条件稳定的二阶算法(C2).这两个方案的算法特性与一些熟知算法作了比较.

关 键 词:结构动力学  振动  动响应  数值积分

Calculation of Dynamic Response by Method of Spline Collocation
Cai Chengwen,Yun Fu,Zhang Fanghong Zhejiang University. Calculation of Dynamic Response by Method of Spline Collocation[J]. Journal of Vibration Engineering, 1989, 0(3)
Authors:Cai Chengwen  Yun Fu  Zhang Fanghong Zhejiang University
Affiliation:Cai Chengwen;Yun Fu;Zhang Fanghong Zhejiang University
Abstract:
In this article, a family of single step algorithms for strueture dynamic response analysis is constructed by means of two points collocation approach. The B spline of the third order is adopted as trial function in time domain. After a detailed observation of the accuracy and stability of these algorithms, two desirable schemes are recommended: a conditionally stable algorithm of the fourth order (C1) and an unconditionally stable algorithm of the second order (C2). Their computational behaviour is compared with some familiar algorithms.
Keywords:structural dynamics  vibration  dynamic response  numerical integration
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