Open AccessPrediction of post-elastic seismic response of structures by a mode superpostion technique
Author(s) -
A. G. Gillies,
R. Shepherd
Publication year - 1983
Publication title -
bulletin of the new zealand society for earthquake engineering/nzsee quarterly bulletin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.917
H-Index - 36
eISSN - 2324-1543
pISSN - 1174-9857
DOI - 10.5459/bnzsee.16.3.222-233
Subject(s) - superposition principle , modal , direct integration of a beam , reduction (mathematics) , transformation (genetics) , mode (computer interface) , modal testing , time domain , degrees of freedom (physics and chemistry) , domain (mathematical analysis) , modal analysis , equations of motion , structural engineering , mathematical analysis , classical mechanics , computer science , physics , mathematics , engineering , geometry , materials science , finite element method , biochemistry , chemistry , quantum mechanics , polymer chemistry , computer vision , gene , operating system
For the determination of the dynamic response of a structural
system to earthquake ground motion the mode superposition technique offers an alternative approach to the well established direct integration method. Whereas the principle of modal superposition is encountered commonly in elastic analyses, the response of a yielding structure is predicted almost universally by direct integration of the
equation of motion. In this paper the principles of modal superposition are extended into the post-elastic domain. Among the advantages which accrue from the modal based transformation are a potential reduction in the number of dynamic degrees-of-freedom considered in the solution, and a new insight into the structure response provided by the instantaneous dynamic properties of the structure.