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 inJournal of mechanics Vol. 29; no. 1; pp. 7 - 26
Main Authors Pao, Y.-H., Nie, G.-H., Keh, D.-C.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.03.2013
Oxford University Press
Subjects
Asymptotic methods
Asymptotic properties
Conversion
Dynamic response
Electromagnetism
Fourier analysis
Frame structures
Mathematical analysis
Planar structures
Propagation
Steady state
Studies
Three dimensional
Transient response
Wave propagation
Dynamic response
Wave propagation
3D framed structures
Method of reverberation-ray matrix (MRRM)
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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.
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ISSN:1727-7191
1811-8216
DOI:10.1017/jmech.2012.146