Hamel's field variational integrator of geometrically exact beam

Liang Wang; Zhipeng An; Donghua Shi

doi:10.13209/j.0479-8023.2016.079

Hamel's field variational integrator of geometrically exact beam

Liang Wang, Zhipeng An, Donghua Shi^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

This paper develops a structure-preserving variational integrator for geometrically exact beam in Hamel's field formalism. A simulation illustrates that the derived algorithm preserves energy, momentum and geometry structure.

Original language	English
Pages (from-to)	692-698
Number of pages	7
Journal	Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis
Volume	52
Issue number	4
DOIs	https://doi.org/10.13209/j.0479-8023.2016.079
Publication status	Published - 20 Jul 2016

Keywords

Geometrically exact beam
Hamel's field variational integrator
Structure-preserving

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10.13209/j.0479-8023.2016.079

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title = "Hamel's field variational integrator of geometrically exact beam",

abstract = "This paper develops a structure-preserving variational integrator for geometrically exact beam in Hamel's field formalism. A simulation illustrates that the derived algorithm preserves energy, momentum and geometry structure.",

keywords = "Geometrically exact beam, Hamel's field variational integrator, Structure-preserving",

author = "Liang Wang and Zhipeng An and Donghua Shi",

note = "Publisher Copyright: {\textcopyright} 2016 Peking University.",

year = "2016",

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doi = "10.13209/j.0479-8023.2016.079",

language = "English",

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journal = "Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis",

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publisher = "Peking University",

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T1 - Hamel's field variational integrator of geometrically exact beam

AU - Wang, Liang

AU - An, Zhipeng

AU - Shi, Donghua

PY - 2016/7/20

Y1 - 2016/7/20

N2 - This paper develops a structure-preserving variational integrator for geometrically exact beam in Hamel's field formalism. A simulation illustrates that the derived algorithm preserves energy, momentum and geometry structure.

AB - This paper develops a structure-preserving variational integrator for geometrically exact beam in Hamel's field formalism. A simulation illustrates that the derived algorithm preserves energy, momentum and geometry structure.

KW - Geometrically exact beam

KW - Hamel's field variational integrator

KW - Structure-preserving

UR - https://www.scopus.com/pages/publications/84981217041

U2 - 10.13209/j.0479-8023.2016.079

DO - 10.13209/j.0479-8023.2016.079

M3 - Article

AN - SCOPUS:84981217041

SN - 0479-8023

VL - 52

SP - 692

EP - 698

JO - Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis

JF - Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis

IS - 4

ER -

Hamel's field variational integrator of geometrically exact beam

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Keywords

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