The mixing phenomenon of particles in a tilted tumbler is studied by the SIPHPM simulation. The particle motion in the tilted tumbler with three rotating velocities ω = 1π, 1.5π and 2π rad/s at tilt angles of α = 5°, 10°, 15°, 20°, 25°, 30°, 45° and 60° are simulated. We propose a construction principle of mixing indices depending on particle concentration. The mixing degree of these cases is evaluated by the new construction-principle-based mixing indices (NCPBMI). In addition, a modified formula is added to the construction principle, so that it can be used to evaluate the particle system with various particle sizes, and the difference between the two calculation methods of the total mixing index in the new mixing index construction principle is compared. In addition, the differences in the application range of various mixing indices are summarized. It is found that the influence of inclinations on the axial mixing of cubic particles in the inclined tumbler varies. At low inclinations, the particle system hardly mixes; at medium inclinations, the inclination plays a positive role in mixing; at high inclinations, the positive influence of inclination on mixing decreases. Also, the rotating speed is a negative factor for cubic particle mixing.

通过SIPHPM模拟研究了倾斜滚筒中颗粒的混合现象。倾斜转筒中的质点运动，三种旋转速度ω  = 1 π、 1.5 π和 2 π rad/s，倾斜角α  = 5°、10°、15°、20°、25°、30°、45°和60°是模拟的。我们提出了取决于颗粒浓度的混合指数的构造原理。这些情况的混合程度通过新的基于施工原理的混合指数（NCPBMI）进行评估。另外，在构建原理中加入了修正公式，使其可以用于评价各种粒径的颗粒体系，新混合指数构建原理中两种总混合指数计算方法的区别为比较的。此外，还总结了各种混合指数应用范围的差异。研究发现，倾斜角对立方体颗粒在倾斜转鼓内轴向混合的影响是不同的。在低倾角下，颗粒系统几乎不混合；中等倾角时，倾角对混合起积极作用；在高倾角下，倾角对混合的积极影响减小。此外，转速对于立方颗粒混合来说也是一个负面因素。