摘要
在求解多自由度系统动力响应的Duhamel积分中,利用分段Hermite插值多项式逼近任意动力荷载,推导了相关公式。由于分段Hermite多项式的Duhamel积分有精确解,因而与逐步积分法相比,本文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。
The piecewise 3 order Hermite interpolating polynomial is employed to approximate arbitrary dynamic loads in the Duhamel integration for the solution of dynamic response of linear systems. The relative formulae are derived. Because the Duhamel integration of piecewise Hermite polynomial is exact, the proposed solution of the paper has higher accuracy and less calculations than traditional step by step integration solution.
出处
《振动工程学报》
EI
CSCD
1998年第4期467-471,共5页
Journal of Vibration Engineering
基金
国家自然科学基金
关键词
动态系统
动力响应
结构动力分析
H多项式
dynamic systems
dynamic response
dynamic structural analysis
piecewise Hermite interpolating polynomial
Duhamel integration