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Assessing numerical error in structural dynamics using energy

Author
Andújar, R.; Roset, J.; Kilar, V.
Type of activity
Journal article
Journal
Advances in mechanical engineering
Date of publication
2013
First page
1
Last page
16
DOI
https://doi.org/10.1155/2013/906120 Open in new window
Repository
http://hdl.handle.net/2117/21140 Open in new window
URL
http://www.hindawi.com/journals/ame/2013/906120/ Open in new window
Abstract
This work applies the variational principles of Lagrange and Hamilton to the assessment of numerical methods of linear structural analysis. Different numerical methods are used to simulate the behaviour of three structural configurations and benchmarked in their computation of the Lagrangian action integral over time. According to the principle of energy conservation, the difference at each time step between the kinetic and the strain energies must equal the work done by the external forces. By ...
Citation
Andújar, R.; Roset, J.; Kilar, V. Assessing numerical error in structural dynamics using energy. "Advances in mechanical engineering", 2013, p. 1-16.
Group of research
AIEM - Architecture, energy and environment

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