摘要
在求解梁动力反应的Duhamel积分中利用分段三次Hermite插值多项式逼近任意动力荷载,推导了相关公式,当动力荷载为分段三次或三次以下的多项式时,Duhamel积分是有精确解,因而与一般的数值积分法和逐步积分法相比、本方法不但具有较高的计算精度,而且大大减少了计算工作量.
In this paper the three-order Hermite piecewise interpolating polynomial is employed to approximate the arbitrary dynamic loads in the Duhamel integration for the solution of dynamic response of beam systems, with relative formulas derived, since the Duhamel integration of piecewise polynomial is exact, the proposed solution is highly accurate and involves less calculations than the traditional step-by-step integration and numerical integration solution,
出处
《汕头大学学报(自然科学版)》
1999年第1期70-77,共8页
Journal of Shantou University:Natural Science Edition
关键词
插值多项式
强迫振动
梁
动力反应
动力荷载
three-order Hermite piecewise interpolating polynomial
Duhamel integration
forced vibration