【摘要】 利用分数导数的性质和粘弹性理论得到分数阶Kelvin模型描述的单自由度基础隔震体系的隔震结构加速度响应衰减比和位移响应放大比,并研究分数导数的阶数、阻尼比和频率比对隔震结构位移响应放大比的影响,研究表明:分数导数的阶数和阻尼比对隔震结构位移响应放大比的影响较大,阻尼比对分数导数Kelvin模型和经典粘弹性模型描述的隔震结构位移响应放大比的影响规律存在不同,且分数导数模型的应用范围较广。更多还原

【Abstract】 Regarding the isolation layers as viscoelastic materials,the decay ratio of acceleration response and amplification ratio of displacement response of isolation structure for single-particle vibration-isolation system described by fractional Kelvin model are obtained.The influences of the order of fractional derivative,damping ratio and frequency ratio on the amplification ratio of displacement response of the isolation structure are investigated.The result shows that the order of fractional derivative and damping ratio have a great influence on the amplification ratio of displacement response of the isolation structure.However,the influences of damping ratio on the amplification ratio of displacement response of the isolation structure described by,respectively,fractional Kelvin model and classical model are different.And the fractional-order derivative model is more extensively applicable.更多还原