人在洪水中的稳定性分析  

Analysis of Human Instability in Flood Flow

作　　者：曹留伟[1] 钟桂辉[1] 刘曙光[1] 武秀根[1] 

机构地区：[1]同济大学土木工程学院,上海200092

出　　处：《同济大学学报（自然科学版）》2013年第11期1675-1681,共7页Journal of Tongji University:Natural Science

基　　金：中央高校基本科研业务费专项资金(0290219007);公益性行业(气象)科研专项经费项目(GYHY201306055)

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.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.

关 键 词：洪水作用力 失稳分析 人体生物力学 LAGRANGE 方法 

分 类 号：TV135.9[水利工程—水力学及河流动力学]