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An analysis of the putter face control mechanism in golf putting |
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| Authors: | Tetsuo Shimizu M Tsuchida K Kawai K Takahashi K Arakawa M Satoh |
| Institution: | 1. Production and Development HQ, Maruman & Co., Ltd., 6-57-11 Minamisenjyu, Arakawa-ku, Tokyo, 116-0003, Japan 2. Tsuchida Software Office, Niigata, Japan 3. Research Institute for Applied Mechanics, Kyushu University, Fukuoka, Japan 4. APEN Office, Tokyo, Japan |
| Abstract: | The B-matrix method, which systematically analyses the dynamic response of non-symmetric rigid bodies, such as golf putters, is described. The three-dimensional translational and rotational accelerations of the putter face are represented by linear equations of input forces and moments represented in matrix form. The elements of the 6 × 6 B-matrix physically represent the acceleration intensity factors. This method is applied to the analysis of the putter face control mechanism. The input forces and moments are obtained by the inverse dynamics method, whilst special attention is paid to the putter face rotation, i.e. the angular acceleration around the axis of the shaft, $ \dot{w}_{ox} . $ The contribution of input forces and moments on $ \dot{w}_{ox} $ is discussed quantitatively. The results demonstrate that $ \dot{w}_{ox} $ is present even if the input force and moment are applied perpendicularly to the shaft. A cancelling mechanism to correct this motion is discussed based on the B-matrix method. |
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