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本文用三维8-21节点等参元对大型十字轴式万向联轴器中十字轴受载时的应力场进行了计算,给出了典型部位的应力曲线,利用数学规划、有限元分析对十字轴应力集中处-十字轴圆角进行了计算机辅助形状优化设计,并由计算机自动生成三维有限元网格。优化方法采用惩罚函数法。十字轴圆角形成的描述分别采用了多项式法和三次样条法,并对这两种方法优化的结果进行了分析比较,为今后形状优化设计中描述形线的方法提供了参考。所得结果对于大型十字轴式万向联轴器的研制、系列标准的制定以及推广应用都有一定的意义。
In this paper, the stress fields of the cross-shaft of a large cross-shaft universal joint under load are calculated by the isoparameters of 8-21 nodes in three dimensions. The stress curves of the typical parts are given. Using mathematical programming and finite element analysis Cross-axis stress concentration - cross-shaft fillet computer-aided shape optimization design, and by the computer automatically generate three-dimensional finite element mesh. The optimization method uses the penalty function method. Polynomial and cubic spline methods were used to describe the formation of the cross-shaft fillet respectively. The optimized results of these two methods were analyzed and compared, which provided a reference for the method of describing the shape line in the shape optimization design. The results obtained for the development of large cross shaft universal coupling, the development of a series of standards and promote the use of a certain significance.