An improved DDA method with adaptive step size

LIU Yong-qian; YANG Jun

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An improved DDA method with adaptive step size

更新时间：2026-06-25

- An improved DDA method with adaptive step size
- Vol. 32, Issue 8, (2011)
- 作者机构：
  
  北京理工大学爆炸科学与技术国家重点实验室,北京,100081
- 作者简介：
- 基金信息：
- DOI：
  CLC： O342
- Online First：16 August 2011，
  
  Published：2011
- 稿件说明：
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LIU Yong-qian, YANG Jun. An improved DDA method with adaptive step size[J]. 2011, 32(8).
DOI：

LIU Yong-qian, YANG Jun. An improved DDA method with adaptive step size[J]. 2011, 32(8). DOI：

摘要

非连续变形分析（DDA）是一种针对块体系统变形和位移求解的数值计算方法。引入Newmark方法于结构动力学微分方程中，考虑惯性力和阻尼力作用，改进时间步长自动调节，并实现DDA求解程序；比较研究Newmark方法中的线性加速法、常加速法和平均加速法在DDA程序中计算的收敛速度，讨论块体系统动力学计算过程中DDA方法对惯性力和阻尼力的添加和删除，并提出根据计算精度要求的误差控制实现方案。将改进的DDA方法模拟一个典型的煤与瓦斯突出过程，取得了满意的计算结果，该改进算法为DDA方法处理动力学问题提供新的途径

Abstract

Discontinuous deformation analysis (DDA) is an efficient algorithm for calculating block system deformation and displacement. Citing Newmark integration in the structural dynamic differential equation and considering inertia force and damping force computation

DDA source code is improved so as to optimize adaptive step size. The convergence rates of linear acceleration method

constant acceleration method and average acceleration method in Newmark integration are investigated by comparative analysis; the principle of adding or deleting non-balance force is introduced; and a scheme is given to control the error range. Using the improved DDA method to simulate a coal and gas outburst during a coal seam excavating

the results have a good match with the investigation data. The improved DDA method with adaptive step size can provide a new way to deal with the dynamic calculation for block system.

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