中文摘要：

以前的低顺序的近似非线性的明确的表达成功了捕获使硬的条款，但是由于高顺序的变丑条款的疏忽与大变丑在机械系统的模拟失败了。在这篇论文，新混合坐标的明确的表达被建议，它对合适灵活多有大变丑的身体系统。根据准确种类排水量关系，运动为的方程灵活多，身体系统被使用虚拟工作导出原则。一个矩阵分离方法被提出改进计算的效率。有绝对节的并列明确的表达(ANCF ) 获得的那些的现在的结果的同意验证建议明确的表达的正确性。而且，现在的结果与线性模型和低顺序的近似非线性的模型的使用获得显示出建议模型的适用性的那些相比。

英文摘要：

The previous low-order approximate nonlinear formulations succeeded in capturing the stiffening terms, but failed in simulation of mechanical systems with large deformation due to the neglect of the high-order deformation terms. In this paper, a new hybrid-coordinate formulation is proposed, which is suitable for flexible multibody systems with large deformation. On the basis of exact strain- displacement relation, equations of motion for flexible multi-body system are derived by using virtual work principle. A matrix separation method is put forward to improve the efficiency of the calculation. Agreement of the present results with those obtained by absolute nodal coordinate formulation （ANCF） verifies the correctness of the proposed formulation. Furthermore, the present results are compared with those obtained by use of the linear model and the low-order approximate nonlinear model to show the suitability of the proposed models.