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Unconventional Hamilton-type variational principle in phase space and symplectic algorithm.

Luo, En, Huang, Weijiang and Zhang, Johnson (2003) Unconventional Hamilton-type variational principle in phase space and symplectic algorithm. Science in China Series G: Physics, Mechanics and Astronomy, 46 (3). pp. 248-258. ISSN 1862 2844

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Abstract/Description

By a novel approach proposed by Luo, the unconventional Hamilton-type variational principle in phase space for elastodynamics of multidegree-of-freedom system is established in this paper. It not only can fully characterize the initial-value problem of this dynamic, but also has a natural symplectic structure. Based on this variational principle, a symplectic algorithm which is called a symplectic time-subdomain method is proposed. A non-difference scheme is constructed by applying Lagrange interpolation polynomial to the time subdomain. Furthermore, it is also proved that the presented symplectic algorithm is an unconditionally stable one. From the results of the two numerical examples of different types, it can be seen that the accuracy and the computational efficiency of the new method excel obviously those of widely used Wilson-? and Newmark-? methods. Therefore, this new algorithm is a highly efficient one with better computational performance.

Item Type: Article
Print ISSN: 1862 2844
Electronic ISSN: 1869-1927
Uncontrolled Keywords: Hamilton-type; varaitional principle; phase space; elastodynamics; symplectic algorithm; symplectic time-subdomain;
University Divisions/Research Centres: Faculty of Engineering, Computing and Creative Industries > School of Engineering and the Built Environment
Dewey Decimal Subjects: 500 Science > 510 Mathematics > 519 Probabilities & applied mathematics
500 Science > 530 Physics
600 Technology > 620 Engineering > 620 Engineering & allied operations
Library of Congress Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Q Science > QC Physics
Item ID: 1942
Depositing User: RAE Import
Date Deposited: 13 Jun 2008 12:07
Last Modified: 07 Jun 2013 16:20
URI: http://researchrepository.napier.ac.uk/id/eprint/1942

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