摘要
结合解析方法和数值方法优点 ,提出了一种求解动力响应的新方法。在求解动力响应的Duhamel积分中 ,利用分段Birkhoff插值多项式逼近任意动力荷载 ,并推导了相关公式。由于分段Birkhoff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 ,本文方法不但具有高得多的计算精度 ,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。
By combining the merits of analytic method and numerical method,a new method for the dynamic analysis was proposed.In this paper,the piecewise Birkhoff interpolating polynomial was employed to approximate arbitrary dynamic loads in the Duhamel integral for the solution of dynamic response,and the relative formulae are derived.Because the Duhamel integral of piecewise Birkhoff polynomial is precise,the proposed solution has the much higher accuracy and less computational task than traditional step by step integration solution.
出处
《四川建筑科学研究》
2001年第4期13-16,共4页
Sichuan Building Science
