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On the accuracy of mode superposition analysis in structural dynamics
Author(s) -
Hansteen Ole Edvard,
Bell Kolbein
Publication year - 1979
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.4290070502
Subject(s) - superposition principle , mode (computer interface) , normal mode , response analysis , static analysis , distribution (mathematics) , dynamics (music) , structural engineering , physics , mathematics , mathematical analysis , computer science , engineering , acoustics , vibration , operating system
It is pointed out that the number of modes which should be included in a mode superposition dynamic response analysis depends on both the frequency content and the distribution of the loading. If the loading frequency is low the effect of the higher modes can be approximated by a static analysis. A technique is described for calculating this static contribution from the higher modes; the total response is then represented by the sum of the lower mode dynamic response and the higher mode static effects. The effectiveness of the procedure is demonstrated by a numerical example.