人在洪水中的稳定性分析

Analysis of Human Instability in Flood Flow

摘要:

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.

Abstract:

By taking into consideration the human biomechanics and the flood actions on the human body comprehensively, the study 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 by taking only one generalized coordinate into consideration with Lagrange method. The numerical solutions are solved by higher Runge Kutta method and the factors influencing on human walking in the flood flow are researched. A comparative study is made of the flood depths, the corresponding flood velocities with its experimental values when human losing their stability and walking in the flood flow normally. The results indicate the conditions of human critical instability and walking ordinarily are determined preferably by the proposed method.