Vibrating screens represent an effective particle separation equipment for coal cleaning. During the screening process, critical particles block the screen holes, and affect the screening performance. Therefore, a vibrating screen with a higher inclination angle and larger screen pore has been proposed to prevent plugging of the screen surface. In this work, a screening model for the vibrating screen was established based on the discrete element method. The screening process was simulated, and the screening efficiency could be obtained. Through single factor tests, the influence of the amplitude (A), frequency (f), and vibration direction angle (β) on the screening efficiency was analyzed. The results show that, upon increasing A, f, and β, the screening efficiency first increases and then decreases. It was found that an improved screening effect can be achieved when A, f, and β are 3–4 mm, 12–14 Hz, and 35°–45°, respectively. A mathematical model describing the effect of A, f, and β on the screening efficiency was implemented based on the response surface methodology, and the degree of influence of each parameter on the screening efficiency resulted to be in the following order: A > f > β. The highest screening efficiency (81.4%) was obtained under optimized conditions, with the relevant parameters being A = 3.7 mm, f = 13.4 Hz, and β = 40.9°. The results indicate that the optimization scheme is feasible and reliable.

振动筛是用于煤炭清洁的有效颗粒分离设备。在筛选过程中，关键颗粒会堵塞筛选孔，并影响筛选性能。因此，已经提出了具有更大的倾斜角和更大的筛孔的振动筛，以防止筛表面的堵塞。在这项工作中，基于离散元方法建立了振动筛的筛分模型。对筛选过程进行了仿真，得到了筛选效率。通过单因素测试，分析了振幅（A），频率（f）和振动方向角（β）对筛选效率的影响。结果表明，随着A的增加，f和β，筛选效率先升高然后降低。结果发现，当A，f和β分别为3–4  mm，12–14  Hz和35°–45°时，可以实现更好的屏蔽效果。基于响应面方法，建立了描述A，f和β对筛选效率的影响的数学模型，每个参数对筛选效率的影响程度按以下顺序排列：A> f> β。在优化条件下获得最高筛选效率（81.4％），相关参数为A = 3.7 mm，f = 13.4  Hz，β= 40.9°。结果表明，该优化方案是可行和可靠的。