柔性头颅模型撞击弹性板的动态响应分析  

Method of Model Analysis for Flexible Head Impacting With Elastic Plane

作　　者：赵桂范[1] 谭惠丰[1] 杜星文[1] 

机构地区：[1]哈尔滨工业大学复合材料研究所,哈尔滨150001

出　　处：《应用数学和力学》2003年第3期323-330,共8页Applied Mathematics and Mechanics

摘　　要：　将柔性接触撞击过程处理为一个振动系统响应,采用机械网络图和求机械阻抗的方法解决了这一动态响应问题·　柔性接触撞击模型考虑了头部的实际结构,把头部简化成撞击部位的头皮和头骨的质量、头部其它部分的头骨和脑液的质量、头部的刚度、头皮和脑液的阻尼系数组成的振动模型,弹性板也同样简化成由质量、刚度和阻尼构成的振动模型·　采用求激振点速度阻抗的方法,得到了系统的动态撞击力、头部所受到的撞击加速度值,以及板的弹性变形、系统的固有频率等动态响应·　实验数据与计算数据符合较好,证明方法是计算撞击作用下系统动态响应的实用方法。To consider the head is a flexible multi-layer structure and the contact-impact is flexible, the Hertz Contact Law is unsuitable for analyzing the dynamic response of human head impacts elastic plane with initial speed. In this paper, the process of head impacting with elastic plane is modeled as a response of vibrant system, and methods like mechanical network figure and mechanical impedance is taken to resolve this dynamic response problem. Based on the actual head structure, head is modeled as a vibrant model, which concludes the masses of scalp and bone in the impact area, the masses in the other part of the head and the brain, the stiffness of the head, and the damp coefficient of the scalp and brain. At the same time, the elastic plane is simplified as a vibrant model including mass, stiffness and damp. These two vibrant models are linked into one vibrant systematic model. In order to calculate the elastic deformation and the impact acceleration of the head, the models are transformed into mechanical girding figure at violent vibration point. The dynamic impact force of the system, the impact acceleration of the head, the elastic deformation of the plane and the fixed frequency of the system can be worked out by calculating the velocity impedance at the violent vibration point when the initial impact speed is known. The results fit the test data well, which proves that this method is available for the analysis of the dynamic response of the system under impact.

关 键 词：柔性头颅模型 动态响应 弹性板 柔性接触撞击 振动模型 机械阻抗 行人头部保护 交通事故 

分 类 号：O326[理学—一般力学与力学基础] U491.31[理学—力学]