依据微分几何理论推导出非测地线缠绕的纤维稳定方程，给出了稳定的边界条件。对几种典型芯模的稳定缠绕进行了讨论。为编制缠绕软件奠定了理论基础。 According to the differential geometry theory, the fiber stability equation of non-geodesic winding is deduced, and the stable boundary condition is given. The stability of several typical mandrel winding is discussed. For the preparation of winding software has laid a theoretical foundation.