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计算复杂地基动力柔度系数的分段递推方法
引用本文:楼梦麟,宋浩.计算复杂地基动力柔度系数的分段递推方法[J].计算力学学报,1998,15(4):429-436.
作者姓名:楼梦麟  宋浩
作者单位:同济大学结构理论研究所,大连理工大学
基金项目:大连理工大学海岸与近海工程国家重点实验室基金
摘    要:介绍复杂地基动力柔度系数的一个快速有效计算方法——分段递推法。这一方法的基本思想是:将频率域分为若干子域,利用子域中点频率处的动力柔度系数向前或向后递推子域内其它频率点处的动力柔度系数,以简化计算过程。文中讨论了实施这一方法的基本过程,并提出了迭代计算方法,进一步改善计算精度。在算例中,近似解与解析解相比,具有很好的近似精度。

关 键 词:复杂地基  动力柔度  分段递推方法

A simplified recurrence method in frequency subdomain for calculating the dynamic flexibility of complex soil foundation
Lou Menglin,Wang Dongjing.A simplified recurrence method in frequency subdomain for calculating the dynamic flexibility of complex soil foundation[J].Chinese Journal of Computational Mechanics,1998,15(4):429-436.
Authors:Lou Menglin  Wang Dongjing
Abstract:A simplified recurrence method in frequency subdomain has been developed for promptly computing the dynamic flexibility of complex soil foundation. In this method, the frequency domain is divided into several subdomain. The dynamic flexibility at centre frequency of each subdomain is computed by popular method. Then the dynamic flexibility at other frequencies in the subdomain is determined forward or backward by using the obtained solution at the centre frequency, rather than by the popular method. Therefore, the calculating procedure can be simplified. An iterative technique is suggested to improve the computing precision. The numerical examples demonstrate that the method introduced in the paper can satisfy the requirement for quickly computing the dynamic flexibility of soil foundation with a good precision.
Keywords:soil foundation  dynamic flexibility  recurrence method
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