采用 Taylor级数展开方法 ,分析了常用的线性多步法在非光滑机械动力系统中的计算精度特性 ,建立了一个非光滑的机械振动系统检验模型 ,给出了典型的计算实例 ,并提出了几种改善计算精度的措施。分析表明 ,在计算非光滑的机械动力系统时 ,线性多步法类的数值积分方法出现降阶现象 ,计算精度会大大降低。采用光滑函数过渡、自适应变步长技术及隐式和预测校正等方法 ,可以有效地提高数值计算精度 ,而提高方法的阶次不能有效提高精度 The Taylor series expansion method is used to analyze the computational accuracy of the commonly used linear multistep method in nonsmooth mechanical dynamical systems. A nonsmooth mechanical vibration system test model is established and a typical example is given. Several measures to improve the accuracy of calculation. The analysis shows that when calculating the non-smooth mechanical power system, the numerical integration method of linear multistep method has the phenomenon of reduced order, and the calculation precision will be greatly reduced. The method of smooth function transition, adaptive variable step-size and implicit and predictive correction can effectively improve the numerical calculation accuracy, while improving the order of the method can not effectively improve the accuracy