利用Birkhuff函数进行不等高单层工业厂房结构动力分析的新方法

结合了解析方法和数值方法优点 ,提出了一种新方法用于求解单层工业厂房不等高排架结构的动力响应。该方法不但能用于求解单层工业厂房这样的梁单元 ,也很容易推广到其它多自由度系统。利用分段Birkhuff插值多项式逼近多自由度系统的任意动力荷载。由于分段Birkhuff多项式的Duhamel积分有精确解 ,因而和现在常用的逐步积分法相比 ,不但具有高的计算精度 ,避免了收敛性和稳定性的问题 ,而且大大减少了计算工作量

A NEW METHOD FOR DYNAMIC ANALYSIS OF SINGLE-STORY INDUSTRIAL BUILDING BY USING BIRKHUFF POLYNOMIAL

By combining the merits of analytic method and numerical method, a new method for the dynamic analysis of single story industrial building was proposed. In this paper, the piecewise Birkuff interpolating polynomial was employed to approximate arbitrary dynamic loads in the Duhamel intergral for the solution of dynamic response. Because the Duhamel integral of piecewise Birkhuff polynomial is precise, the proposed solution technique has a high accuracy, avoids the problems of convergence and stability, and requires less computational effort than the traditional step by step integration solution technique.