中文摘要：

根据多股螺旋弹簧单股钢丝的几何成形原理,提出了两种多股螺旋弹簧建模新方法,以弥补现有建模方法的不足。方法一推导了钢丝中心曲线的微分几何方程,可以实现多种建模软件下各种结构的多股螺旋弹簧快速建模;方法二通过改变多股螺旋弹簧中心线的两端节距,建立两端并圈的多股螺旋弹簧模型。最后给出基于上述方法的建模实例,结果表明了方法的有效性和正确性,满足多股螺旋弹簧模拟仿真和有限元分析不同的模型需要。

英文摘要：

In order to make up the deficiency of existing modelling methods for stranded wire helical springs,two new modelling methods were proposed based on the forming principle of the single wire in the stranded wire helical springs.In the first method,the differential geometry equation of the central curve for single wire was derived,and this equation could be used to finish rapid modelling of different structure for stranded wire helical springs in most modelling codes.Then the stranded wire helical springs model with closed ends was built by changing the pitches of the central line of stranded wire helical springs in the second method.Finally,modelling cases were given based on the two methods.The results indicate the effectiveness and rightness of the new methods,which can meet the different requirements for the simulation and FE analysis of the stranded wire helical springs.