In machine elements many different methods for connecting shaft and hub are specified in different standards. A not so common shaft–hub connection is the polygon profile as specified in DIN 32711 (P3G) and DIN 32712 (P4C). This type of connection is an alternative to key or spline connections. The practical point of the connection is the easy assembly and disassembly, but as for all shaft–hub connections the drawback is the high stress leading to a limited strength of these connections. The polygon connection design is to some extent due to an old production method, i.e. it is not design/optimized for reducing the maximum stress. In the present paper it is shown how the connection strength can be improved significantly by the use of shape optimization. The focus here is both on the highest contact stress (compression) but also on the largest tensile stress. Overall reduction in the stress in the order of 20% to 40% is found relative to standard design.

在机器元件中，以不同的标准规定了许多不同的轴和毂连接方法。不太常见的轴毂连接是DIN 32711（P3G）和DIN 32712（P4C）中指定的多边形轮廓。此类连接是键或样条连接的替代方法。该连接的实用之处在于易于组装和拆卸，但对于所有轴-毂连接而言，缺点是应力过大，导致这些连接的强度受到限制。多边形连接设计在某种程度上是由于旧的生产方法所致，即，没有为降低最大应力而对其进行设计/优化。在本文中，显示了如何通过使用形状优化来显着提高连接强度。这里的重点既在于最高的接触应力（压缩），也在于最大的拉伸应力。相对于标准设计，整体应力降低了20％到40％。