描述电梯运行的Basset公式和Peters公式的关系研究

Research on the Relationship Between Basset Formula and Peters Formula for Elevator Travelling

根据概率统计和级数观点的数学分析,证明了:从某种程度说,描述电梯运行的Basset公式和Peters公式,它们是等价的。从数学上说,Basset公式是Peters公式的一种近似;从工程上说,Peters公式是Basset公式的一种近似。给出了这两种公式的电梯运行描述的函数性质、图像及相对近似率,并给出这两种公式的电梯工程应用范围。

According to the mathematical analysis of probability statistics and series view,it is proved that,to some extent,Basset formula and Peters formula describing elevator travelling are equivalent.Mathematically,Basset formula is an approximation of Peters formula.In engineering,Peters formula is an approximation of Basset formula.The functional properties,figures and relative approximate rates of these two formulas of describing the elevator travel are given,and the application scope of these two formulas in elevator engineering is pointed out.