【摘要】 本文采用三参数分数导数粘弹性本构模型分析了粘弹性半空间在简谐分布荷载下的稳态响应。数值计算结果给出了衰减因子与频率和分数导数阶数之间的关系曲线。结果表明:当分数导数阶数在-1/2和1/3之间时,材料的阻尼效果最佳。这与 Rouse 的分子理论和由实验曲线拟合所得结果一致.更多还原

【Abstract】 Fractional derivative model with three parameters is used to analyze the steady-state response of half-space of viscoelasticity under dis- tributed harmonic loads.The results of numerical calculation gives the rela- tionship curve among frequency,dissipation factor and the order of fractional derivative.It is shown that the maximum damping effect is achieved when the order of fractional derivative liesin between 1/3 and 1/2.This is in good agreement with the Rouse’s molecular theory and the data which is measured by fitting curve.更多还原