| 基于均匀五次B样条插值求解动力响应的时间积分法 |
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| 引用本文： | 古滨,温伟滨,蹇开林.基于均匀五次B样条插值求解动力响应的时间积分法[J].西华大学学报(自然科学版),2013(5):104-108,112. |
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| 作者姓名： | 古滨 温伟滨 蹇开林 |
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| 作者单位： | 西华大学建筑与土木工程学院;重庆大学资源及环境科学学院 |
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| 基金项目： | 牵引动力国家重点实验室开放课题资助项目(TPL1108) |
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| 摘 要： | 为求解结构动力响应,提出了一种新的逐步积分方法。通过五次的B样条插值在局部时间域上对位移、速度和加速度进行离散,给出了逐步逆推的计算格式。通过双参数控制算法的稳定性和计算精度。该方法具有自起步、无中间计算环节的特点。数值实例表明,本文算法的精度很高,明显优于Newmark法、Wilson法。
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| 关 键 词： | 结构动力学 时间积分法 动力响应 B样条 |
A New Step-by-step Integration Method Based ON Uniform Qunitic B-spline Interpolation for Dynamic Response |
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| GU Bin;WEN Wei-bin;JIAN Kai-lin.A New Step-by-step Integration Method Based ON Uniform Qunitic B-spline Interpolation for Dynamic Response[J].Journal of Xihua University:Natural Science Edition,2013(5):104-108,112. |
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| Authors: | GU Bin;WEN Wei-bin;JIAN Kai-lin |
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| Affiliation: | GU Bin;WEN Wei-bin;JIAN Kai-lin;School of Architecture and Civil Engineering ,Xihua University;College of Resources and Environmental Science,Chongqing University; |
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| Abstract: | In order to calculate structural dynamic response, a new step - by - step integration is presented. The step - by - step recursion method is deduced on the basis of uniform quintic B - spline interpolation of nodal displacement, velocity, and acceleration within a local time domain. Two parameters are introduced to meet good stability and accuracy. The proposed method has advantages of self - starting and no middle computational procedure. The numerical results and the comparison with Newmark and Wilson method show this method possesses high calculation accuracy. |
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| Keywords: | structural dynamics time integration method dynamic response B - spline |
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