Frequency-Domain Assessment of Integration Schemes for Earthquake Engineering Problems
Joint Authors
Arias-Trujillo, Juana
Blázquez, Rafael
López-Querol, Susana
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-16
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Although numerical integration is a technique commonly employed in many time-dependent problems, usually its accuracy relied on a time interval small enough.
However, taking into account that time integration formulae can be considered to be recursive digital filters, in this research a criterion based on transfer functions has been employed to characterize a wide range of integration algorithms from a frequency approach, both in amplitude and in phase.
By adopting Nyquist’s criterion to avoid the aliasing phenomena, a total of seven integration schemes have been reviewed in terms of accuracy and distortion effects on the frequency content of the signal.
Some of these schemes are very well-known polynomial approximations with different degrees of interpolation, but others have been especially defined for solving earthquake engineering problems or have been extracted from the digital signal processing methodology.
Finally, five examples have been developed to validate this frequency approach and to investigate its influence on practical dynamic problems.
This research, focused on earthquake and structural engineering, reveals that numerical integration formulae are clearly frequency-dependent, a conclusion that obviously has a relevant interest in all dynamic engineering problems, even when they are formulated and solved in the time-domain.
American Psychological Association (APA)
Arias-Trujillo, Juana& Blázquez, Rafael& López-Querol, Susana. 2015. Frequency-Domain Assessment of Integration Schemes for Earthquake Engineering Problems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1073339
Modern Language Association (MLA)
Arias-Trujillo, Juana…[et al.]. Frequency-Domain Assessment of Integration Schemes for Earthquake Engineering Problems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-18.
https://search.emarefa.net/detail/BIM-1073339
American Medical Association (AMA)
Arias-Trujillo, Juana& Blázquez, Rafael& López-Querol, Susana. Frequency-Domain Assessment of Integration Schemes for Earthquake Engineering Problems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1073339
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073339