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	Mechanical Analogies of Fractional Elements
	Hu Kai-Xin ; Zhu Ke-Qin
	2010-10-12 ; 2010-10-12 ; OCT
关键词	Physics, Multidisciplinary
中文摘要	A Ffactional element model describes a special kind of viscoelastic material. Its stress is proportional to the fractional-order derivative of strain. Physically the mechanical analogies of fractional elements can be represented by spring-dashpot fractal networks. We introduce a constitutive operator in the constitutive equations of viscoelastic materials. To derive constitutive operators for spring-dashpot fractal networks, we use Heaviside operational calculus, which provides explicit answers not otherwise obtainable simply. Then the series-parallel formulas for the constitutive operator are derived. Using these formulas, a constitutive equation of fractional element with 1/2-order derivative is obtained. Finally we find the way to derive the constitutive equations with other fractional-order derivatives and their mechanical analogies.
语种	英语 ; 英语
出版者	IOP PUBLISHING LTD ; BRISTOL ; DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/79190]
专题	清华大学
推荐引用方式 GB/T 7714	Hu Kai-Xin,Zhu Ke-Qin. Mechanical Analogies of Fractional Elements[J],2010, 2010, OCT.
APA	Hu Kai-Xin,&Zhu Ke-Qin.(2010).Mechanical Analogies of Fractional Elements..
MLA	Hu Kai-Xin,et al."Mechanical Analogies of Fractional Elements".(2010).

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