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Table tennis diameter changes research based on analytic hierarchy process and kinetic energy comprehensive optimization control

机译：基于层次分析和动能综合优化控制的乒乓球直径变化研究

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The paper carries out analysis from athletes??? experience qualities and audiences??? appreciation qualities two aspects, applies analytic hierarchy process and table tennis dynamical simulation model researching table tennis diameter increasing from38mmto 40mminfluences on competition appreciation. After that, establish falling time and kinetic energy comprehensive optimization controlling mathematical planning model, it gets best table tennis diameter. Research process takes athlete experience quality as first class indicator, takes technical difficulty, tactical thinking, forehand using times, backhand using times, receiving rate as second class indicators, applies analytic hierarchy process method getting each influence factorsweights and athlete experience quality and each influence factor relationship, it can know that table tennis diameter increasing improves athlete experience quality.And then consider table tennis diameter changes to audience appreciation quality influence, audience appreciation quality mainly reflects on table tennis speed and rotational speed; to table tennis speed, it applies table tennis dynamical simulation model getting table tennis speed and diameters relationship, which can learn that table tennis diameter increasing let speed reduce and audience appreciation quality improve. To table tennis rotational speed, according to moment of momentumtheorem, it solves different rotational speeds on condition table tennis has different diameters, and finally gets rotation reductionwill affect ball aggressiveness, increases table tennis competition round numbers, and let audience appreciation quality improve.
机译：本文从运动员身上进行分析？？？体验素质和受众？？？欣赏质量从两个方面出发，运用层次分析法和乒乓球动力学模拟模型研究了直径从38mm增加到40mm的乒乓球对比赛欣赏的影响。之后，建立下降时间和动能综合优化控制数学规划模型，得到最佳乒乓球直径。研究过程以运动员经验质量为一级指标，以技术难度，战术思想，正手使用时间，反手使用时间，接收率为第二类指标，运用层次分析法得到各影响因素权重和运动员经验质量及各影响因素关系，可以知道乒乓球直径的增大会提高运动员的体验质量。然后考虑乒乓球直径的变化对观众欣赏质量的影响，观众欣赏质量主要体现在乒乓球速度和旋转速度上。在乒乓球速度上，应用乒乓球动力学仿真模型得到了乒乓球速度与直径的关系，可以得知乒乓球直径的增大使速度减小，观众欣赏质量提高。对于乒乓球旋转速度，根据动量定理，在直径不同的条件下解决不同的旋转速度，最终减小旋转速度会影响球的进攻性，增加乒乓球比赛的轮数，使观众的欣赏质量得到提高。

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