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An investigation of the effects of mass distribution on pounding structures
Author(s) -
Cole Gregory,
Dhakal Rajesh,
Carr Athol,
Bull Des
Publication year - 2011
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.1052
Subject(s) - collision , diaphragm (acoustics) , mass distribution , vibration , mechanics , distribution (mathematics) , momentum (technical analysis) , mass ratio , structural engineering , relative velocity , physics , engineering , classical mechanics , mathematics , mathematical analysis , computer science , acoustics , computer security , finance , quantum mechanics , galaxy , astrophysics , economics
The effects of diaphragm mass distribution are investigated for building pounding. Elastic diaphragm‐to‐diaphragm collisions are explained by considering the total momentum over the length of each diaphragm at three critical instants during collision. Expressions for collision force and collision duration are produced, providing additional information about the collision process. Equations for the post collision velocity of each diaphragm are produced and are found to appreciably differ from conventional impact—momentum equations under certain conditions. The change in post collision velocity is found to be dependent on the ratio of the axial periods of free vibration of the two diaphragms and the ratio of their masses. An equivalent lumped mass model is proposed and assessed against simplified distributed mass models with numerical modelling of two two‐storey buildings. Finally, a new parameter is introduced to represent the plasticity of an inelastic collision between the two distributed masses. This paper highlights the significant influence that diaphragm mass distribution may have on the analysis of pounding structures. Copyright © 2010 John Wiley & Sons, Ltd.