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Dynamic Response and Wave Propagation in Three-Dimensional Framed Structures

Published online by Cambridge University Press:  20 December 2012

Y.-H. Pao ,
G.-H. Nie  and
D.-C. Keh
Y.-H. Pao*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, Taiwan
G.-H. Nie
Affiliation:
Institute of Applied Mechanics, Tongji University, Shanghai 200092, China
D.-C. Keh
Affiliation:
Development Engineer, Nassda Corporation, Taipei, Taiwan 10608, Taiwan
*
Corresponding author (yhpao.iam.ntu@gmail.com)
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Abstract

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.

Keywords

3D framed structuresMethod of reverberation-ray matrix (MRRM)Dynamic responseWave propagation

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Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 1 , March 2013 , pp. 7 - 26
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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