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本文求得了考虑摩擦系数f、叶片安装角δ_1、叶片端点半径R、重力加速度g、初位相α_0及叶片转速ω诸因素同时作用下,适用于后倾、前倾及径向安装叶片的,质点在绕水平轴等速旋转平面型叶片上运动的统一微分方程及其解。将其解展成幂级数,进而求得在ω~2(fr_0+l_1)》g/coxφ的条件下,某些结构参数与运动学参数之间的近似公式,讨论了它们之间的关系和影响。 本文指出:初位相仅在考虑质点重量的情况下对其运动有影响。判断质点的运动形式及计算质点的运动学诸参数时,是否考虑重力的影响,均应以ω~2(fr_0+l_1)》g/cosφ是否成立为依据而不应仅考虑叶片的转速。 本文所得结论作为某些农业机械工作部件性能设计的理论基础。关于这方面的应用作者将在以后的工作中给出。
In this paper, considering the friction coefficient f, the blade mounting angle δ_1, the blade end radius R, the gravitational acceleration g, the initial phase α_0 and the blade rotation speed ω, under the simultaneous action of various factors, suitable for backward, forward and radial blade installation, Unified Differential Equations and Their Solutions for Moving on a Flat Blade Rotating about a Constant Speed on a Horizontal Axis. Then, the approximate formulas of some structural parameters and kinematic parameters under ω ~ 2 (fr_0 + l_1) “g / coxφ are obtained and their relations and influences are discussed . The paper points out that the primary phase only affects its movement when considering the particle weight. Judging whether the motion form of particles and the kinematic parameters of particle calculation take into account the influence of gravity should be based on whether ω ~ 2 (fr_0 + l_1) ”g / cosφ holds or not, and not only the blade rotation speed should be considered. The conclusions obtained in this paper as the theoretical basis for the performance design of some working parts of agricultural machinery. The author of this application will be given later work.