In this paper, we proposed a method for optimizing the pressure angle of the cam curve in a zoom system using Particle Swarm Optimization (PSO) algorithm. This method improved the design efficiency of the cam curve and effectively solved issues such as cam motion jamming caused by excessive pressure angles. Firstly, the cam structure was analyzed based on the mechanical theory. Secondly, in the phase of the pressure angle optimization, constraints were designed and a new fitness function was introduced as an indicator to obtain the optimal solution of the nonlinearly broaden parameter of the cam curve in a multidimensional space. Finally, the zoom curve of the designed 8x optical system was optimized using the proposed method. The results showed that the maximum pressure angle of the zoom group decreased from 72.7° to 44.8°, and the maximum pressure angle of the compensation group decreased from 52.6° to 44.2°. In conclusion, this method could effectively improve the performance and lifespan of cam zoom systems, providing positive guidance for the engineering application of continuous zoom systems.

在本文中，我们提出了一种使用粒子群优化（PSO）算法优化变焦系统中凸轮曲线压力角的方法。该方法提高了凸轮曲线的设计效率，有效解决了压力角过大导致的凸轮运动卡滞等问题。首先，基于力学理论对凸轮结构进行了分析。其次，在压力角优化阶段，设计约束条件并引入新的适应度函数作为指标，得到凸轮曲线非线性展宽参数在多维空间中的最优解。最后，利用所提出的方法对所设计的8倍光学系统的变焦曲线进行了优化。结果显示，变焦组的最大压力角从72.7°减小到44.8°，补偿组的最大压力角从52.6°减小到44.2°。总之，该方法可以有效提高凸轮变焦系统的性能和寿命，为连续变焦系统的工程应用提供积极的指导。