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Apparent mass of small children: modeling

机译:幼儿的表观质量:建模

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Mass-spring-damper models are widely available for quantifying the whole-body vibration characteristics of primates, human adolescents and human adults, but no models have previously been developed for small children. In this study a single degree of freedom, linear, mass-spring-damper with base support model was determined from the seated vertical apparent mass modulus function of each of eight small children of less than 18 kg in mass. A differential evolution optimization algorithm was used in conjunction with a mean squared error measure and penalty functions to identify the optimal child model parameter values. The eight child models were characterized by a mean moving mass m{sub}1 of 8.5 kg, a mean body stiffness k{sub}1 of 21,131 N/m and a mean damping coefficient c{sub}1 of 329 Ns/m. Comparison to the parameter values of similar models reported in the literature for Rhesus monkeys, Baboons, large children and adults suggests that the values obtained in the current study for small children are intermediate between the smaller primates and the larger humans. A regression analysis of the model parameters was performed as a function of subject mass for a data set consisting of the eight child models, 12 similar models for primates, and 60 similar models for large children and adults. The moving mass m{sub}1 of the group of models grew with a power exponent of approximately unity, the body stiffness k{sub}1 grew with a power exponent of approximately + 1/2, the damping coefficient c{sub}1 grew with a power exponent of approximately + 3/4 and the dimensionless damping ratio was independent of subject mass. The natural frequency of the models grew with a power exponent of approximately -1/4.
机译:质量弹簧阻尼器模型可广泛用于量化灵长类动物,人类青少年和成年人的全身振动特性,但是以前没有为幼儿开发模型。在这项研究中,从八个质量小于18 kg的小孩子的每个坐着的垂直表观质量模量函数中确定了具有基本支撑模型的单自由度线性质量弹簧阻尼器。差分进化优化算法与均方误差度量和惩罚函数结合使用,以识别最佳子模型参数值。八个子模型的特征在于平均运动质量m {sub} 1为8.5千克,平均身体刚度k {sub} 1为21,131 N / m,平均阻尼系数c {sub} 1为329 Ns / m。与文献中报道的恒河猴,狒狒,大型儿童和成人的类似模型的参数值相比,表明本研究中针对小型儿童的值介于较小的灵长类动物和较大的人类之间。对于由八个子模型,12个类似的灵长类动物模型和60个类似的大型儿童和成人模型组成的数据集,模型参数作为对象质量的函数进行了回归分析。模型组的运动质量m {sub} 1的幂指数近似为1增长,车身刚度k {sub} 1的幂指数近似为+ 1/2,阻尼系数c {sub} 1以大约+ 3/4的幂指数增长,无因次阻尼比与主体质量无关。模型的固有频率以大约-1/4的幂指数增长。

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