摘要
针对Riemann-Liouville分数阶导数定义的不足之处进行了改进,利用改进过的分数阶导数定义,建立了类Kelvin体粘弹性本构模型,并应用于某固体推进剂上,对本构方程中的三个参数进行了求解,与经典的prony级数模型进行比较,采用分数阶导数的类Kelvin体粘弹性本构模型与实验结果能很好地吻合。
Aiming at the inherent shortages,Riemann-Liouville Fractional order derivative definition is modified.A Quasi Kelvin viscoelasticity Constitutive model is established by the modified definition.The model has been employed in some solid propellant,and the parameter in the model is solved.Comparing with the Prony series model,this proposed model coincides with the experiment result.
出处
《应用力学学报》
CAS
CSCD
北大核心
2009年第1期168-171,共4页
Chinese Journal of Applied Mechanics
关键词
分数阶导数
类Kelvin模型
本构方程
fractional order derivative,quasi Kelvin model,constitutive equation
