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Assessing Numerical Error in Structural Dynamics Using Energy Balance
Joint Authors
Kilar, Vojko
Roset, Jaume
Andujar, Rabindranath
Source
Advances in Mechanical Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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 computing this difference, the degree of accuracy of each combination of numerical methods can be assessed.
Moreover, it is often difficult to perceive numerical instabilities due to the inherent complexities of the modelled structures.
By means of the proposed procedure, these complexities can be globally controlled and visualized in a straightforward way.
The paper presents the variational principles to be considered for the collection and computation of the energy-related parameters (kinetic, strain, dissipative, and external work).
It then introduces a systematic framework within which the numerical methods can be compared in a qualitative as well as in a quantitative manner.
Finally, a series of numerical experiments is conducted using three simple 2D models subjected to the effect of four different dynamic loadings.
American Psychological Association (APA)
Andujar, Rabindranath& Roset, Jaume& Kilar, Vojko. 2013. Assessing Numerical Error in Structural Dynamics Using Energy Balance. Advances in Mechanical Engineering،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-506979
Modern Language Association (MLA)
Andujar, Rabindranath…[et al.]. Assessing Numerical Error in Structural Dynamics Using Energy Balance. Advances in Mechanical Engineering No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-506979
American Medical Association (AMA)
Andujar, Rabindranath& Roset, Jaume& Kilar, Vojko. Assessing Numerical Error in Structural Dynamics Using Energy Balance. Advances in Mechanical Engineering. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-506979
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506979