【摘要】 针对比较精确的基于等效磁荷法所得的四重积分形式的磁力计算公式,首先在磁体间距远大于磁体半径的条件下化简得到形式简单的磁力计算式,之后引入与磁体间距和半径相关的校正项,得到简化磁力计算公式,使之适用于磁体间距与磁体半径相当甚至更小的情况。其次用MATLAB计算了磁体厚度、半径和校正系数独立变化时磁力与间距的关系,结果表明,针对不同的磁体半径和厚度,均可调整校正系数使简化磁力算式计算结果与原积分公式计算结果吻合。最后实验测量了圆形和方形磁体分别正对配置时磁力与间距的关系,结果表明简化计算所得磁力与实验测量结果吻合,证明本文针对磁力计算所做的简化是可行的。更多还原

【Abstract】 In this paper, a simple calculation expression is firstly obtained by simplifying the four-integral formula by equivalent magnetic charge method when the spacing of two magnets is much larger than their radiuses, then the correction term is introduced to obtain the optimal expression which can also apply to the case where the spacing is equal or smaller than the radius. Secondly, the relationship of the magnetic force and the spacing of two magnets is calculated using MATLAB when the radius, thickness and correction factor changes individually, and the results show that the value obtained by the optimal expression can always correspond to that by four-integral formula by adjusting the correction factor no matter what the radius or thickness is. Finally, experiment is conducted to measure the relationship between the magnetic force and the spacing for cylindrical and cubic magnets. The experimental results agree with those by the optimal expression, which certifies the feasibility of the optimal expression.更多还原