Dynamic Response and Wave Propagation in Three-Dimensional Framed Structures

This paper extends the recently developed method of reverberation-ray matrix for planar structures to three-dimensional framed structures. The propagation of steady state axial, flexural and torsional waves, as well as the mode conversions through scattering of all three waves at connecting joints a...

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Bibliographic Details
Published in:Journal of mechanics 2013-03, Vol.29 (1), p.7-26
Main Authors: Pao, Y.-H., Nie, G.-H., Keh, D.-C.
Format: Article
Language:English
Subjects:
Asymptotic methods
Asymptotic properties
Conversion
Dynamic response
Electromagnetism
Fourier analysis
Mathematical analysis
Propagation
Steady state
Studies
Three dimensional
Wave propagation
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Summary:This paper extends the recently developed method of reverberation-ray matrix for planar structures to three-dimensional framed structures. The propagation of steady state axial, flexural and torsional waves, as well as the mode conversions through scattering of all three waves at connecting joints are evaluated in the frequency domain. The transient waves in all members are then determined by the Fourier synthesis. The transient responses of a two-storey framed building subject to a step time loading are calculated in detail. Numerical results are obtained for early time as well as moderately long time records. The results are shown to be accurate in arrival times of all three types of waves and in asymptotic values at times.
ISSN:1727-7191
1811-8216
DOI:10.1017/jmech.2012.146