Queen Robin M, Weinhold Paul S, Kirkendall Donald T, Yu Bing
Department of Biomedical Engineering, Center for Human Movement Science, Division of Physical Therapy, University of North Carolina at Chapel Hill, 27599-7135, USA.
Med Sci Sports Exerc. 2003 Dec;35(12):2069-76. doi: 10.1249/01.MSS.0000099081.20125.A5.
The objective of this study was to theoretically model, based on the Hertz contact theory, the impact force and contact time, as well as the linear and angular head accelerations during heading in children using two neck stiffness conditions (infinite and negligible stiffness).
The following mathematical model inputs were obtained: elastic modulus and mass of size three, four, and five balls at inflation pressures of 10, 12, and 14 psi, head modulus, head mass, head length, head and trunk moment of inertia, and the precontact ball velocity. The model outputs consisted of linear and angular head acceleration, impact force, contact time between the ball and head, and head impact criteria (HIC) all at the point of impact. Head mass and length were obtained as a percentage of body weight and height, respectively, based on age.
With an increase in head mass, there is a decrease in the linear and angular head acceleration. With an increase in ball size, for the same head mass, there is an increase in the contact time between the head and the ball. Changing ball inflation pressure has little effect on the impact characteristics. Infinite neck stiffness decreased linear and angular head acceleration and HIC.
Head mass and ball size have an effect on linear and angular head acceleration and contact time, respectively, whereas ball inflation pressure has a minimal effect on the impact characteristics. These results indicate that children should be restricted to using the appropriate ball for their age. Smaller head size within an age group is an underemphasized though important identifier of a player's injury risk.
本研究的目的是基于赫兹接触理论,从理论上模拟在两种颈部刚度条件(无限刚度和可忽略刚度)下儿童头球时的冲击力、接触时间以及头部的线性和角向加速度。
获取了以下数学模型输入:充气压力为10、12和14磅力每平方英寸时3号、4号和5号球的弹性模量和质量、头部模量、头部质量、头部长度、头部和躯干的转动惯量以及球的预接触速度。模型输出包括撞击点处的头部线性和角向加速度、冲击力、球与头部之间的接触时间以及头部撞击标准(HIC)。根据年龄,分别以体重和身高的百分比形式获取头部质量和长度。
随着头部质量增加,头部的线性和角向加速度降低。对于相同的头部质量,随着球尺寸增大,头部与球之间的接触时间增加。改变球的充气压力对撞击特性影响很小。无限颈部刚度降低了头部的线性和角向加速度以及HIC。
头部质量和球的尺寸分别对头部的线性和角向加速度以及接触时间有影响,而球的充气压力对撞击特性影响最小。这些结果表明,应限制儿童使用适合其年龄的球。在一个年龄组内,较小的头部尺寸是一个虽未被充分重视但对运动员受伤风险很重要的指标。