分数导数描述的粘弹性基础—动力机器系统振动特性分析  

The Dynamic Properties of Machine-Foundation Described by Fractional Derivative Viscoelastic Kelvin Model

作　　者：陈哲[1] 刘林超[1] 

机构地区：[1]信阳师范学院建筑工程系,河南信阳464000

出　　处：《噪声与振动控制》2006年第3期26-28,共3页Noise and Vibration Control

摘　　要：粘弹性基础采用分数导数Kelvin本构模型,建立了分数导数描述的粘弹性基础-动力机器系统的动力学有限元方程,Zhang-Shimizu分数导数数值积分法给出了数值解,讨论了分数导数算子和粘弹比对系统的影响。The foundation described by fractional derivative model, Built the dynamics equation of machine-foundation, and got the numerical solution with the Zhang-Shimizu fractional derivative numerical integration method, discuss the effect of fractional derivative operator and visco-elastic ratio parameter.

关 键 词：振动与波 分数导数 振动 本构模型 数值积分法 

分 类 号：O317[理学—一般力学与力学基础]