人在洪水中的稳定性分析

综合考虑人体生物力学及洪水对人体的作用力,将人体静止失稳分成倾覆失稳和滑移失稳两种形式,推导出人在洪水中两种临界失稳满足的方程,对人体失稳的影响因素进行了分析.应用Lagrange方法在仅考虑一个广义坐标下推导了人在洪水中正常行走满足的微分方程,应用高阶RungeKutta法求解其数值解,并对人在洪水中正常行走的影响因素进行了分析.将人体静止临界失稳及洪水中正常行走的水深和流速值与试验结果比较,结果表明本文提出的方法能较好地确定人在洪水中失稳和正常行走满足的条件.

Analysis of Human Instability in Flood Flow

The flood disaster is one of the most serious natural hazards that human face. The casualties caused by the flood are huge. Considering the human biomechanics and the flood actions on the human body comprehensively, the paper divides the human instability in the flood flow into two types, including tumbling type and slipping type. The equations of two types of critical human instability are deduced and the factors influencing on human stability are analyzed. Then, the ordinary differential equations are deduced considering only one generalized coordinate using Lagrange Method. The numerical solutions are solved using higher Runge-Kutta method and the factors influencing on human walking in the flood flow are researched. Comparison the flood depths, the corresponding flood velocities with its experimental value when human just lost their stability and walking in flood flow, the results indicate: the conditions of human critical instability and walking ordinarily are determined preferably by the method proposed in the paper.