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对于具有局部非线性的多自由度动力系统，提出一种有效方法，该方法将线性自由度转换到模态空间中，并对其进行缩减，而将非线性自由度仍保留在物理空间中，避免了在数值分析中求非线性因素时的坐标转换。在分析缩减后系统的长时间行为时，采用一种改进形式的Ｎｅｗｍａｒｋ方法，在迭代过程中，仅对非线性自由度进行迭代求解，并采用一种预估格式，大幅度地提高了收敛速度。数值分析表明：该方法具有数值稳定、计算速度快等特点。
For a multi-degree-of-freedom dynamical system with local nonlinearity, an effective method is proposed, which converts the linear degree of freedom into the modal space and reduces it, while keeping the non-linear degree of freedom in the physical space, Avoids the coordinate transformation when finding nonlinear factors in numerical analysis. In analyzing the long-time behavior of the reduced system, an improved form of Newmark method is used to iteratively solve only the nonlinear degree of freedom and adopt a predictor format to greatly improve the convergence rate . Numerical analysis shows that the method has the characteristics of stable numerical value and fast calculation speed.