Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems

K. Olesen; B. Gervang; J. N. Reddy; M. Gerritsma

doi:10.1007/978-3-319-65870-4_41

Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems

K. Olesen^*, B. Gervang, J. N. Reddy, M. Gerritsma

^*Corresponding author for this work

Aerodynamics

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

Abstract

In structural mechanics the geometry is a crucial factor in the derivation of the governing force equilibrium equations, which describe the balance of forces in a discrete setting. In conventional discretization techniques the quantities are approximated through nodal expansions, which lead to global force equilibrium, but not local. This paper shows that by considering the geometry of the problem the equilibrium of forces can be satisfied globally as well as locally.

Original language	English
Title of host publication	Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference
Editors	M.L. Bittencourt, N.A. Dumont, J.S. Hesthaven
Publisher	Springer
Pages	571-584
Number of pages	14
Volume	119
ISBN (Print)	9783319658698
DOIs	https://doi.org/10.1007/978-3-319-65870-4_41
Publication status	Published - 2017
Event	ICOSAHOM 2016 - Rio de Janeiro, Brazil Duration: 27 Jun 2016 → 1 Jul 2016 Conference number: 11

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	119
ISSN (Print)	14397358

Conference

Conference	ICOSAHOM 2016
Abbreviated title	ICOSAHOM 2016
Country/Territory	Brazil
City	Rio de Janeiro
Period	27/06/16 → 1/07/16

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10.1007/978-3-319-65870-4_41

Cite this

Olesen, K., Gervang, B., Reddy, J. N., & Gerritsma, M. (2017). Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems. In M. L. Bittencourt, N. A. Dumont, & J. S. Hesthaven (Eds.), Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference (Vol. 119, pp. 571-584). (Lecture Notes in Computational Science and Engineering; Vol. 119). Springer. https://doi.org/10.1007/978-3-319-65870-4_41

Olesen, K. ; Gervang, B. ; Reddy, J. N. et al. / Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems. Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. editor / M.L. Bittencourt ; N.A. Dumont ; J.S. Hesthaven. Vol. 119 Springer, 2017. pp. 571-584 (Lecture Notes in Computational Science and Engineering).

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abstract = "In structural mechanics the geometry is a crucial factor in the derivation of the governing force equilibrium equations, which describe the balance of forces in a discrete setting. In conventional discretization techniques the quantities are approximated through nodal expansions, which lead to global force equilibrium, but not local. This paper shows that by considering the geometry of the problem the equilibrium of forces can be satisfied globally as well as locally.",

author = "K. Olesen and B. Gervang and Reddy, {J. N.} and M. Gerritsma",

year = "2017",

doi = "10.1007/978-3-319-65870-4_41",

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booktitle = "Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference",

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Olesen, K, Gervang, B, Reddy, JN & Gerritsma, M 2017, Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems. in ML Bittencourt, NA Dumont & JS Hesthaven (eds), Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. vol. 119, Lecture Notes in Computational Science and Engineering, vol. 119, Springer, pp. 571-584, ICOSAHOM 2016, Rio de Janeiro, Brazil, 27/06/16. https://doi.org/10.1007/978-3-319-65870-4_41

Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems. / Olesen, K.; Gervang, B.; Reddy, J. N. et al.
Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. ed. / M.L. Bittencourt; N.A. Dumont; J.S. Hesthaven. Vol. 119 Springer, 2017. p. 571-584 (Lecture Notes in Computational Science and Engineering; Vol. 119).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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AB - In structural mechanics the geometry is a crucial factor in the derivation of the governing force equilibrium equations, which describe the balance of forces in a discrete setting. In conventional discretization techniques the quantities are approximated through nodal expansions, which lead to global force equilibrium, but not local. This paper shows that by considering the geometry of the problem the equilibrium of forces can be satisfied globally as well as locally.

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Olesen K, Gervang B, Reddy JN, Gerritsma M. Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems. In Bittencourt ML, Dumont NA, Hesthaven JS, editors, Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. Vol. 119. Springer. 2017. p. 571-584. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-65870-4_41

Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems

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