摘要
本文用三参数分数阶导数模型描述了固体推进剂的粘弹特性 ,用 Laplace变换和反变换求解一维杆件的频响函数和脉冲响应函数 ,分析了极点部分和截断部分在响应中所占比例 ,计算了在简谐激励下杆件的瞬态和稳态响应 。
In this paper ,viscoelastic property of solid rocket propellant is described by fractional derivative model.Frequency response function and impulse response function of one dimensional pole is deduced by means of Laplace transformation and its inverse transformation.The proportions of pole part and branchcut part in the response are analyzed.The transitional and steady response of the pole is calculated under harmonic excitation and the steady acceleration response is compared with expeimental results.
出处
《宇航学报》
EI
CAS
CSCD
北大核心
2001年第2期51-55,共5页
Journal of Astronautics