焦利氏秤是测量微小质量的仪器。在物理系为本科生开展的普通物理实验中，有用胡克定律测量焦利氏秤弹簧弹性系数的实验，发现在负载较小时有非线性出现。本文先从实验出发，根据实验数据做出相应的F-x 曲线，然后建立相应的物理模型对实验结果进行理论分析，并用数学软件Matlab 进行数值计算，得出理论值，画出F-x 曲线，与实验曲线比较，得出较为满意的结果。然后用数学软件Origin自带的函数拟合进行尝试，发现拟合最好的是高斯拟合，得出与实际相符的经验公式，并对理论和实验产生的误差可能性做了分析。本文用高斯拟合得出经验公式，理论分析的结果可对弹簧负载较小时产生的非线性给出一定的解释，可对有兴趣对这个问题做更加深入和精细研究的人提供一个方向和参考。

Jolly Pallance is minimal quality measure equipment. In the physics department, there is physics experiment for undergraduates of using Hook's law to measure Jolly Balance spring elastic coefficient, the load is small there are nonlinear. The paper first paint the F-x curve based on experimental data, then corresponding physical model the experimental results analysis, using Matlab mathematical software for numerical calculation, the theoretical value paint F-x curve, compared with the experimental curves. Draw a rather satisfactory result. Then use mathematical software origin built-in function fitting tried, found that the best fit is Gaussian of the formula, and theoretical and theoretical and experimental error of the possibility of doing the analysis. In this paper, the results from the spring load on the smaller nonlinear given a theoretical explanation and to identify the corresponding experiment formula to be interested in this issue more on-depth and meticulous research to provide a direction and reference.