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中文摘要：
对现有的求解非线性动力方程v=H.v＋f（v,t）的分段直接积分方法进行了改进,提出了新的预估式。该方法为显式预估-校正、自起步的单步四阶精度的精细积分算法,避免了对f（v,t）求导。算例表明：该文改进方法可用于求解多自由度、强非线性、非保守系统的动力响应问题;对研究解的稳定性也是一个有效的工具,而且比现有的分段直接积分方法和经典的Runge-Kutta方法计算精度高。
英文摘要：
The present segmented-direct-integration method is improved for nonlinear dynamic systems governed by the equation v = H. v ＋ f（v,t）, and new predict formulas are proposed. As a precise integration method with explicit, predict-correct, self-starting and four order accuracy, the improved method is not necessary to differentiate f（v,t）. Numerical examples show that the improved method is suitable for multi-degrees of freedom, strongly nonlinear and non-conservative dynamic systems, even effective in studying stability of solution. Moreover, the improved method has higher accuracy than the present segmented-direct-integration method as well as classical Runge-Kutta integration method.
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