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Analytic hierarchy process and dynamical simulation model-based table tennis diameter and appreciation value research

机译：基于层次分析法和动力学模拟模型的乒乓球直径及增值研究

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The paper carries out analysis from athletes’ experience qualities and audiences’ appreciation qualities two aspects, firstly applies analytic hierarchy process, it gets each influence factors weight and athlete experience qualities and each influence factor relationship, it is clear that table tennis diameter increasing has improved athlete experience quality. After that, considering table tennis diameter changes to audience appreciation quality influences. Finally, on the condition that audience is satisfied, establish minimum table tennis falling time mathematical planning model, it gets ω that lets falling time to be minimum. And then in case athlete is satisfied, establish maximum table tennis falling kinetic energy mathematical planning model, it gets ω that lets falling kinetic energy to be maximum. In case that both audience and athlete are satisfied, establish falling time and kinetic energy comprehensive optimization control mathematical planning model, and get best ω = 119.757r / s, input obtained ω into table tennis dynamical simulation model, and solve best table tennis diameter is: d = 39.634mm.
机译：本文从运动员的经验素质和观众的欣赏素质两个方面进行分析，首先运用层次分析法，得出各个影响因素的权重和运动员经验素质与各个影响因素的关系，显然乒乓球直径的增加有所改善运动员的体验质量。之后，考虑乒乓球直径的变化对观众欣赏质量的影响。最后，在满足观众的条件下，建立最小乒乓球下降时间数学规划模型，得到使下降时间最小的ω。然后在运动员满意的情况下，建立最大的乒乓球下降动能数学规划模型，得到使下降动能最大的ω。在观众和运动员双方满意的情况下，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ω= 119.757r / s，将获得的ω输入乒乓球动力学仿真模型，求解出最佳乒乓球直径为：d ＝ 39.634mm。

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