Symplectic-energy-first integrators of discrete mechanico-electrical dynamical systems

CSpace

	Symplectic-energy-first integrators of discrete mechanico-electrical dynamical systems
	Fu Jing-Li 1; Chen Ben-Yong 2; Tang Yi-Fa 3; Fu Hao 4
	2008-11-01
发表期刊	CHINESE PHYSICS B
ISSN	1674-1056
卷号	17 期号:11 页码:3942-3952
摘要	A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplectic-energy-first integrators for mechanico-electrical systems are derived. To do this, the time step adaptation is employed. The discrete variational principle and the Euler-Lagrange equation are derived for the systems. By using this discrete algorithm it is shown that mechanico-electrical systems are not symplectic and their energies are not conserved unless they are Lagrange mechanico-electrical systems. A practical example is presented to illustrate these results.
关键词	total variation symplectic-energy-momentum integrator mechanico-electrical system
语种	英语
资助项目	National Natural Science Foundation of China[10672143] ; National Natural Science Foundation of China[60575055] ; State Key Laboratory of Scientific and Engineering Computing ; Chinese Academy of Sciences ; Natural Science Foundation of Henan Province Government, China[0511022200]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000261206700004
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6746
专题	中国科学院数学与系统科学研究院
通讯作者	Fu Jing-Li
作者单位	1.Zhejiang Sci Tech Univ, Inst Math Phys, Hangzhou 310018, Peoples R China 2.Zhejiang Sci Tech Univ, Fac Mech Engn & Automat, Hangzhou 310018, Peoples R China 3.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 4.China Jingye Engn Corp Ltd, Shenzhen Brach, Shenzhen 518054, Peoples R China
推荐引用方式 GB/T 7714	Fu Jing-Li,Chen Ben-Yong,Tang Yi-Fa,et al. Symplectic-energy-first integrators of discrete mechanico-electrical dynamical systems[J]. CHINESE PHYSICS B,2008,17(11):3942-3952.
APA	Fu Jing-Li,Chen Ben-Yong,Tang Yi-Fa,&Fu Hao.(2008).Symplectic-energy-first integrators of discrete mechanico-electrical dynamical systems.CHINESE PHYSICS B,17(11),3942-3952.
MLA	Fu Jing-Li,et al."Symplectic-energy-first integrators of discrete mechanico-electrical dynamical systems".CHINESE PHYSICS B 17.11(2008):3942-3952.