摘要
将精细积分法和预估-校正Adams-Bashforth-Moulton多步法相结合,提出了高精度的精细积分多步法,对非线性动力状态方程进行求解,避免了对状态矩阵求逆。该方法与精确值和现有Adams多步法进行比较,数值计算结果表明该方法是一种高精度、高效率和稳定性较好的方法。该方法可方便地进行不同阶次的积分运算。
Combining the precise integration method and Adams-Bashforth-Moulton predict-correct multi-step method,a highly precise integration method for nonlinear dynamic equations is put forward.It is a multi-step method to avoid calculating the inverse of the state matrix.Compared with the present Adams-Bashforth-Moulton method,the numerical results show that the proposed method is more highly accurate and efficient,capable of keeping computation stability,and suitable for different order numerical inteqrations.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第4期105-107,116,共4页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(50438020,10572153)
湖南省教育厅资助科研项目(05B063,05A070)
