A direct implementation for influence lines in finite element software

Michael S. Jepsen; Lars Damkilde

doi:10.4203/ccp.106.3

A direct implementation for influence lines in finite element software

Michael S. Jepsen, Lars Damkilde

Danish Centre for Risk and Safety Management

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

Abstract

The use of influence lines is a recognized method for determining the critical design load conditions and this paper shows a direct method for applying influence lines in any structural finite element software. The main idea is to equate displacement or angular discontinuities with nodal forces, and subsequently obtain the influence function only applying a single load case without changing the geometry or boundary conditions of the model. The new approach for determining Influence lines is based on the Müller-Breslau principle, but the discontinuous displacement fields are in the new approach equated to consistent nodal forces, which makes it very suitable for implementation in finite element schemes and applicable for all element types, such as shell, plates, beams etc. This paper derives the consistent nodal forces for angular, lateral and axial displacement discontinuities for a Bernoulli-Euler beam element. To exemplify the new approach the response function of the pre-stressing cables for a cable-stay bridge subjected to a truck loading is studied.

Original language	English
Title of host publication	Proceedings of the Twelfth International Conference on Computational Structures Technology
Editors	B. H. V. Topping, P. Iványi
Number of pages	16
Place of Publication	Stirlingshire
Publisher	Civil-Comp Press
Publication date	2014
Article number	Paper no. 3
ISBN (Print)	978-1-905088-61-4
DOIs	https://doi.org/10.4203/ccp.106.3
Publication status	Published - 2014
Event	The Twelfth International Conference on Computational Structures Technology - Naples, Italy Duration: 2 Sept 2014 → 5 Sept 2014 Conference number: 12

Conference

Conference	The Twelfth International Conference on Computational Structures Technology
Number	12
Country/Territory	Italy
City	Naples
Period	02/09/2014 → 05/09/2014

Series	Civil-Comp Proceedings
Number	106
ISSN	1759-3433

Keywords

Influence lines
Müller-Breslau principle
Consistent nodal forces

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10.4203/ccp.106.3

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title = "A direct implementation for influence lines in finite element software",

abstract = "The use of influence lines is a recognized method for determining the critical design load conditions and this paper shows a direct method for applying influence lines in any structural finite element software. The main idea is to equate displacement or angular discontinuities with nodal forces, and subsequently obtain the influence function only applying a single load case without changing the geometry or boundary conditions of the model. The new approach for determining Influence lines is based on the M{\"u}ller-Breslau principle, but the discontinuous displacement fields are in the new approach equated to consistent nodal forces, which makes it very suitable for implementation in finite element schemes and applicable for all element types, such as shell, plates, beams etc. This paper derives the consistent nodal forces for angular, lateral and axial displacement discontinuities for a Bernoulli-Euler beam element. To exemplify the new approach the response function of the pre-stressing cables for a cable-stay bridge subjected to a truck loading is studied.",

keywords = "Influence lines, M{\"u}ller-Breslau principle, Consistent nodal forces, Influence lines, M{\"u}ller-Breslau principle, Consistent nodal forces",

author = "Jepsen, {Michael S.} and Lars Damkilde",

year = "2014",

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editor = "Topping, {B. H. V.} and P. Iv{\'a}nyi",

booktitle = "Proceedings of the Twelfth International Conference on Computational Structures Technology",

note = "The Twelfth International Conference on Computational Structures Technology ; Conference date: 02-09-2014 Through 05-09-2014",

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Jepsen, MS & Damkilde, L 2014, A direct implementation for influence lines in finite element software. in BHV Topping & P Iványi (eds), Proceedings of the Twelfth International Conference on Computational Structures Technology., Paper no. 3, Civil-Comp Press, Stirlingshire, Civil-Comp Proceedings, no. 106, The Twelfth International Conference on Computational Structures Technology, Naples, Italy, 02/09/2014. https://doi.org/10.4203/ccp.106.3

A direct implementation for influence lines in finite element software. / Jepsen, Michael S.; Damkilde, Lars.
Proceedings of the Twelfth International Conference on Computational Structures Technology. ed. / B. H. V. Topping; P. Iványi. Stirlingshire: Civil-Comp Press, 2014. Paper no. 3 (Civil-Comp Proceedings; No. 106).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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N2 - The use of influence lines is a recognized method for determining the critical design load conditions and this paper shows a direct method for applying influence lines in any structural finite element software. The main idea is to equate displacement or angular discontinuities with nodal forces, and subsequently obtain the influence function only applying a single load case without changing the geometry or boundary conditions of the model. The new approach for determining Influence lines is based on the Müller-Breslau principle, but the discontinuous displacement fields are in the new approach equated to consistent nodal forces, which makes it very suitable for implementation in finite element schemes and applicable for all element types, such as shell, plates, beams etc. This paper derives the consistent nodal forces for angular, lateral and axial displacement discontinuities for a Bernoulli-Euler beam element. To exemplify the new approach the response function of the pre-stressing cables for a cable-stay bridge subjected to a truck loading is studied.

AB - The use of influence lines is a recognized method for determining the critical design load conditions and this paper shows a direct method for applying influence lines in any structural finite element software. The main idea is to equate displacement or angular discontinuities with nodal forces, and subsequently obtain the influence function only applying a single load case without changing the geometry or boundary conditions of the model. The new approach for determining Influence lines is based on the Müller-Breslau principle, but the discontinuous displacement fields are in the new approach equated to consistent nodal forces, which makes it very suitable for implementation in finite element schemes and applicable for all element types, such as shell, plates, beams etc. This paper derives the consistent nodal forces for angular, lateral and axial displacement discontinuities for a Bernoulli-Euler beam element. To exemplify the new approach the response function of the pre-stressing cables for a cable-stay bridge subjected to a truck loading is studied.

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KW - Consistent nodal forces

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M3 - Article in proceeding

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BT - Proceedings of the Twelfth International Conference on Computational Structures Technology

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ER -

A direct implementation for influence lines in finite element software

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Keywords

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