運動表面檢測－人造運動員精密度之探討

The Discussion about the Precision of the Artificial Athlete

謝雨純(Yu-Chun Hsieh) ； 蘇振塏(Chen-Kai Su)

《大專體育學術專刊》 96年度 (2007/05) Pp. 439-442

https://doi.org/10.6695/AUES.200705_96.0072

摘要

本研究目的是探討運動表面檢測儀器人工運動員（artificial athlete），在規範誤差範圍內對於檢測結果之精密度的影響，並探討德國規範DIN-18032-2的誤差許可範圍是否合理，並可作為將來台灣訂定運動表面規範時的參考。假設當儀器重槌撞擊彈簧上端時的碰撞行為是完全非彈性碰撞，在不考慮摩擦力、空氣阻力…等非保守力的狀況下，系統為動量守恆的狀況下作物理以及數學的理論分析找出受測地板力量吸收（force reduction）的廣義函數，以討論力吸收、落下高度及彈性係數之間的關係，再分別探討落下高度及彈性係數有微小誤差兩種不同狀況。從函數中可以計算出當彈簧彈性係數以及重鎚落下高度誤差1%時，受測表面力量吸收誤差值分別為9.8%、0.5%。可以發現當落下高度在誤差範圍內，對實驗數據的影響僅約±0.25%，以DIN18032-2的誤差規範是合理而能被接受的，而彈簧的彈性係數合法誤差範圍為3%，所造成的檢測數據許可誤差百分比約為29.4%，可見得影響相當大。所以±3%的誤差範圍是是需要被修正的。當國內制定運動表面相關規範時，彈簧彈性係數所造成的影響應列入考慮中。

關鍵字

力量吸收 ； 精密度 ； 動量守恆 ； 完全非彈性碰撞 ； 誤差

並列摘要

This study discussed the accuracy of the artificial athlete. The purpose of this study was to find how the error of the falling height and the elastic coefficient of the spring affect the results of the test. This study could be a suggestions when Taiwan set the regulations of sport surfaces. Physical and mathematic concepts were used to find out the relations between the two parameters, falling height and elastic coefficient, and f (m, k, h), the function of force. Non-elastic collision was discussed, so the energy of this physical system was not conservative. If there are tiny errors in falling height and elastic coefficient, how these errors affected the results of the experiments. The result shows that if there are 1% error of the falling height and the elastic coefficient occurs, its will cause 0.5% and 9.8% error of the results. Within the regular error ranges of ISSS, the allowed error ranges of the falling height was 0.22% which is reasonable. But the allowed error range of the elastic coefficient was ±29.4% which was not reasonable and should be fixed.

並列關鍵字

force reduction ； precision ； conservation of the momentum ； non-elastic collision ； error