论文标题
基于持续的同源性的多个爆炸负荷下浅埋入隧道故障过程的持续连贯性特征
Sustained Coherence Characteristics of Failure Process of Shallow Buried Tunnel under Multiple Explosive Loads based on Persistent Homology
论文作者
论文摘要
在多个爆炸载荷下，浅埋入隧道的损坏特征是保护和评估保护性工程的重要研究问题。开发一种预警浅埋入特征安全性的方法非常重要。离散元素方法用于建立浅埋入隧道的机械模型。南载等效原理将爆炸载荷视为一系列在表面上均匀作用的动态力。基于离散元素方法，每次爆炸载荷后的动态响应和隧道周围岩石周围岩石的损伤进化过程。强度还原方法用于获得隧道的周围岩石。介绍连续同源性的理论，并使用连续同源性的数学方法在多个爆炸载荷下定量和定性地分析离散元素模型的失败特性。结果表明，连续同源性的方法可以准确反映隧道周围岩石的拓扑特征，最大的一维条形码连接半径可以有效警告隧道的不稳定性。这为隧道安全设计和灾难预测研究提供了一种新的数学方法。
The damage characteristics of a shallow buried tunnel under multiple explosive loads is an important research issue in the design and evaluation of protective engineering. It is of great significance to develop a method for early warning of the safety of the shallow buried features. The discrete element method is used to establish a mechanical model of the shallow buried tunnel. The South Load Equivalent Principle treats blast loads as a series of dynamic forces acting uniformly on the surface. Based on the discrete element method, the dynamic response after each blast load and the damage evolution process of the surrounding rock of the tunnel are obtained. The strength reduction method is used to obtain the surrounding rock of the tunnel. Introduce the theory of continuous homology, and use the mathematical method of continuous homology to quantitatively and qualitatively analyze the failure characteristics of the discrete element model under multiple explosive loads. The results show that the method of continuous homology can accurately reflect the topological characteristics of the surrounding rock of the tunnel The maximum one-dimensional bar code connection radius can effectively warn tunnel instability. This provides a new mathematical method for tunnel safety design and disaster prediction research.
