Crater depth is a vital issue in dynamic compaction (DC) because it is a controlling parameter in DC and a characterization index of soil properties. A continuous mathematical model capturing the time-domain process of tamper displacement is presented in this paper. The model is simple and the parameters involved are easy to obtain. It was found that the accumulated crater depth increases but its increment in the crater depth decreases with multiple impacts. Three groups of large-scale DC tests with 10,000 kN∙m were conducted to evaluate the performance of the proposed model. The results showed that the proposed model captures the typical trends in the tamper displacement of single and multiple impacts. In addition, a concept of the crater depth ratio is proposed based on the proposed model, and the concept is used to evaluate the efficiency of DC and to predict the optimum tamping number of DCs.

中文翻译：

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基于自动控制的强夯夯机位移时域分析

火山口深度是强夯（DC）中的一个重要问题，因为它是强夯中的一个控制参数和土壤特性的表征指标。本文提出了一个连续的数学模型来捕捉篡改位移的时域过程。模型简单，涉及的参数容易获得。发现累积的火山口深度增加，但其增加的火山口深度随着多次撞击而减少。进行了三组 10,000 kN∙m 的大型直流测试以评估所提出模型的性能。结果表明，所提出的模型捕获了单个和多个冲击的篡改位移的典型趋势。此外，基于所提出的模型提出了火山口深度比的概念，