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当土体软弱或扰力较大时，基底一定深度内的主体将进入弹塑性状态，从而导致机器基础共振频率出现下降的非线性振动现象。本文扼要评述了几种由我国学者提出的基础非线性共振频率的简化计算公式，再通过室内外模型试验数据分析比较．结果表明，本文作者提出的由多项式函数拟合地基应力一位移关系而得到的基础振动方程（Duffing方程）及共振频率算式具有应用简使和精度较高的特点．
When the soil is weak or disturbed, the main body within a certain depth of the foundation will enter the elasto-plastic state, resulting in the nonlinear vibration phenomenon that the fundamental resonance frequency of the machine declines. This article briefly reviews several simplified formulas for calculating the fundamental nonlinear resonance frequency proposed by Chinese scholars, and then analyzes and compares the data through indoor and outdoor model tests. The results show that the fundamental vibration equation (Duffing equation) and the resonant frequency equation obtained by the authors proposed by the polynomial function to fit the stress-displacement relationship of the ground have the characteristics of simple application and high accuracy.