Construction of the Finite-Element Models of Golf Balls and Simulations of Their Collisions
Construction of the Finite-Element Models of Golf Balls and Simulations of Their Collisions
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高尔夫球有限元模型的构建及其碰撞模拟
DOI：
10.1243/14644207jmda80
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
S. Ujihashi
中科院分区：
文献类型：
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作者：
K. Tanaka;F. Sato;H. Oodaira;Y. Teranishi;F. Sato;S. Ujihashi
摘要本研究的目的是建立具有超弹性和粘弹性的高尔夫球的有限元模型，并通过研究材料性能与高尔夫球撞击时和撞击后行为的关系，提出一种构建高尔夫球有限元模型的方法。FE球模型的材料模型采用Mooney-Rivlin模型和三元粘弹性模型。在有限元分析（FEA）中，用这些模型模拟了刚体的法向和斜向碰撞。研究了冲击载荷、球的变形、回弹速度、角度和旋转速率，并通过改变构成球模型的单个材料常数来分析它们对球行为的影响。然后，基于这些关系，提出了一种构建有限元球模型的方法。为获得高尔夫球的动态特性，还进行了冲击实验。采用该方法构建的球模型有限元分析结果与实验结果吻合较好，并将该方法应用于其他类型的高尔夫球进行了验证。
Abstract The purpose of this study is to construct a finite-element (FE) model of golf balls with hyperelasticity and viscoelasticity and to devise a method for construction of FE ball models by investigating the relationship between the material properties and the behaviour of the golf ball during and after impact. As for the material model of the FE ball model, the Mooney-Rivlin model and the three-element viscoelastic model were used. In the FE analysis (FEA), normal and oblique impacts with a rigid body were simulated with these models. The impact load, deformation of the ball, rebound velocity, angle, and spin rate were investigated, and their effects on the behaviour of the ball were analysed by varying the individual material constants which make up the ball models. Then, a method for the construction of an FE ball model was proposed, based on these relationships. Impact experiments were also conducted to obtain the dynamic properties of the golf ball. The solutions of the FEA of the ball model, as constructed by the proposed method, closely matched with the experimental results, and the method was verified by applying the process to other types of golf balls.