摘要
精细积分是求解一阶线性微分方程组的精确数值方法。将层状弹性地基的基本控制方程导入到对偶体系,在频率波数域内把控制方程表示成Hamilton正则方程。在此基础上提出一种求解层状弹性地基动力柔度的新方法。运用精细积分法求解微层区段矩阵,并对微层区段矩阵合并得到整个层状地基的区段矩阵,再与半无限空间的边界辐射条件联立,最终得到层状地基的动力柔度值;并运用数值算例验证该方法的计算精度。
The precise integration method is an accurate numerical method for solving first-order differential equations. The fundamental governing equations of layered elastic foundation were introduced into the duality system, and governing equations were represented as Hamilton canonical equations in the frequency-wave number domain. Based on which, a new method was proposed to solve dynamic flexibility of layered elastic foundation. The segment matrix of micro layer was obtained by using the precise integration method, and then, through merging segment matrix of micro layer, it was evaluated the segment matrix of the whole foundation. Finally, the dynamic flexibility of layered elastic foundation was calculated by incorporating the radiation condition of boundary into the segment matrix of the whole foundation. In the end, accuracy of the method was verified by numerical examples.
出处
《工业建筑》
CSCD
北大核心
2013年第9期92-95,164,共5页
Industrial Construction
基金
中德合作研究项目(GZ566)
教育部博士点基金资助项目(200801411099)
清华大学水沙科学国家重点实验室开放基金资助项目(shlhse-2010-C-03)
关键词
频率波数域
动力柔度
精细积分
层状地基
frequency-wave number domain
dynamic flexibility
precise integration method
layered foundation
