中文摘要：

通过对岩石的非经典非线性时频效应的微观机制的研究，建立了能够反映岩石的非经典非线性时频特征的理论模型。利用Guyer等提出的研究非经典非线性的定量化方法，反演得到了实验室样本的P-M空间密度分布函数。在此基础上提出了定量研究岩石非经典时频效应的方法，并对0．1。0．5，1，5，10。15Hz的情况进行了计算机模拟，所得的结果与试验数据能够较好地吻合，并且与Tutuncu在试验中发现的规律也完全吻合。这一结果对于岩石和其他非经典非线性材料中的波动研究具有重要意义。

英文摘要：

By studying the meso-scale mechanism of the frequency effect of the non-classical nonlinear behavior, a non-classical nonlinear theory model with frequency effect is established. Using the quantitative method of studying the non-classical nonlinear behavior of rock given by Guyer, it is conveniently to get the distribution density of hysteretic elastic unit （HEU） in the so called Preisach-Mayergoyz（P-M） space. Then, a quantitative method is brought out to predict the non-classical nonlinear behavior of rock with frequency effect. With this, we simulated the behaviors of rocks under circle loading condition in several frequencies, i.e., 0.1, 0.5, 1, 5, 10, 15 Hz, on computer： The results fit with those from experiments quite well. This research will be very important to the research of nonlinear wave in rock and other non-classical nonlinear materials.