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Critical study of Newmark-scheme on manifold of finite rotations

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Critical study of Newmark-scheme on manifold of finite rotations. / Mäkinen, J.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 8-10, 21.12.2001, p. 817-828.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Mäkinen, J 2001, 'Critical study of Newmark-scheme on manifold of finite rotations', Computer Methods in Applied Mechanics and Engineering, vol. 191, no. 8-10, pp. 817-828. https://doi.org/10.1016/S0045-7825(01)00291-2

APA

Mäkinen, J. (2001). Critical study of Newmark-scheme on manifold of finite rotations. Computer Methods in Applied Mechanics and Engineering, 191(8-10), 817-828. https://doi.org/10.1016/S0045-7825(01)00291-2

Vancouver

Mäkinen J. Critical study of Newmark-scheme on manifold of finite rotations. Computer Methods in Applied Mechanics and Engineering. 2001 Dec 21;191(8-10):817-828. https://doi.org/10.1016/S0045-7825(01)00291-2

Author

Mäkinen, J. / Critical study of Newmark-scheme on manifold of finite rotations. In: Computer Methods in Applied Mechanics and Engineering. 2001 ; Vol. 191, No. 8-10. pp. 817-828.

Bibtex - Download

@article{4b213a0493844c16a8ad3c983c1a7c1e,
title = "Critical study of Newmark-scheme on manifold of finite rotations",
abstract = "In this paper, we show that the usual material form of the Newmark-time-stepping scheme of finite rotations is only a simplified version of the correct formula. This is because spin material rotation vectors, angular velocity vectors and angular accelerations vectors belong to different tangential vector spaces of a manifold at separate time moments. We give corrected Newmark-time-stepping schemes for material description and for spatial description. {\circledC} 2001 Elsevier Science B.V. All rights reserved.",
author = "J. M{\"a}kinen",
note = "Contribution: organisation=tme,FACT1=1",
year = "2001",
month = "12",
day = "21",
doi = "10.1016/S0045-7825(01)00291-2",
language = "English",
volume = "191",
pages = "817--828",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "8-10",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Critical study of Newmark-scheme on manifold of finite rotations

AU - Mäkinen, J.

N1 - Contribution: organisation=tme,FACT1=1

PY - 2001/12/21

Y1 - 2001/12/21

N2 - In this paper, we show that the usual material form of the Newmark-time-stepping scheme of finite rotations is only a simplified version of the correct formula. This is because spin material rotation vectors, angular velocity vectors and angular accelerations vectors belong to different tangential vector spaces of a manifold at separate time moments. We give corrected Newmark-time-stepping schemes for material description and for spatial description. © 2001 Elsevier Science B.V. All rights reserved.

AB - In this paper, we show that the usual material form of the Newmark-time-stepping scheme of finite rotations is only a simplified version of the correct formula. This is because spin material rotation vectors, angular velocity vectors and angular accelerations vectors belong to different tangential vector spaces of a manifold at separate time moments. We give corrected Newmark-time-stepping schemes for material description and for spatial description. © 2001 Elsevier Science B.V. All rights reserved.

UR - http://www.scopus.com/inward/record.url?scp=0035930926&partnerID=8YFLogxK

U2 - 10.1016/S0045-7825(01)00291-2

DO - 10.1016/S0045-7825(01)00291-2

M3 - Article

VL - 191

SP - 817

EP - 828

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

IS - 8-10

ER -