| 计算结构瞬态响应的一种新的数值积分方法 |
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| 引用本文： | 郑铁生,徐稼轩,党锡淇. 计算结构瞬态响应的一种新的数值积分方法[J]. 西安交通大学学报, 1986, 0(6) |
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| 作者姓名： | 郑铁生 徐稼轩 党锡淇 |
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| 作者单位： | 西安交通大学工程力学系(郑铁生，徐稼轩)，西安交通大学工程力学系(党锡淇) |
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| 摘 要： | 以往计算瞬态响应的各种数值方法,例如Wilson θ法、Newmark法等,步长的选择都受到系统固有频率的限制。本文提出的方法克服了这一缺点,从而改善了数值计算的精度,尤其是对固有频率较高的系统更显示其优越性。本方法是利用二次样条函数对Duhamel积分中的非振荡型函数进行插值,导出了相应的数值积分公式。并通过解的误差估计和实例计算表明本方法确实具有上述优点。
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| 关 键 词： | 振动 瞬态响应 数值计算 |
A NEW NUMERICAL INTEGRATION METHOD FOR COMPUTING STRUCTURAL TRANSIENT RESPONSE |
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| Zheng Tiesheng,Xu Jiaxuan,Dang Xiqi. A NEW NUMERICAL INTEGRATION METHOD FOR COMPUTING STRUCTURAL TRANSIENT RESPONSE[J]. Journal of Xi'an Jiaotong University, 1986, 0(6) |
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| Authors: | Zheng Tiesheng Xu Jiaxuan Dang Xiqi |
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| Affiliation: | Department of Engineering Mechanics |
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| Abstract: | Various numerical methods have been adopted to compute transient responseof struetures, where step sizes are subjected to the limitation of natural frequen-cies. The method proposed in our paper avoids this limitation and improves theaccuracy of computation, especially in the case of structures with high naturalfrequency. The new method applies quadratic spline function to interpolate thenonharmonic function in Duhamel's integral. Corresponding quadrature formulaare derived. Error analysis and computational examples show the superiority ofthe new algorithm. |
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| Keywords: | vibration transient response numerical calculantion |
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