Coriolis acceleration analysis of planar mechanisms by complex-number algebra

One of the pitfalls in current methods of acceleration analysis of planar mechanisms is the difficulty in identifying the different types of acceleration components such as the “sliding” acceleration and the Coriolis contribution. Furthermore, the latter is often missed by the analyst altogether which then leads to completely false results in dynamic analysis. Even distinguished authors have on the record actual numerical examples where the wrong angular velocity was used in computing the Coriolis component. The present article demonstrates the acceleration analysis of planar mechanisms using complex-number algebra. This technique, when programmed for digital computation using complex-arithmetic, or using hand calculation, provides the magnitude and direction of all the acceleration components, including the Coriolis term, automatically without resort to such crutches as a “rule of thumb” for determining whether or not the latter is present, “traditional sign conventions”, and without the risk of using the wrong angular velocity. The procedure, derived here, is illustrated by examples.     

42CrMo钢等离子渗氮动力学的数学模型

在42CrMo钢进行等离子渗氮工艺试验的基础上,参考有关数学关系,利用电子计算机处理实验数据,初步建立了扩散层、化合物层、温度控制的数学模型,实现了微处理机控制等离子渗氮参数.实验还得出CO_2对等离子体渗氮有加速作用.