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A method of design against vibration resonance of beams and shafts
Author(s) -
Bendsøe Martin P.,
Olhoff Niels
Publication year - 1985
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660060302
Subject(s) - resonance (particle physics) , vibration , instability , excitation , range (aeronautics) , natural frequency , mechanics , physics , structural engineering , computer science , engineering , acoustics , atomic physics , aerospace engineering , quantum mechanics
We consider problems of designing vibrating beams or rotating shafts to obtain as large gaps as possible in the spectra of natural frequencies or critical speeds in order to avoid resonance or whirling instability for a wide range of external excitation frequencies or service speeds. Governing equations for such design problems are derived by variational analysis of a bound formulation, and a numerical solution to an example problem is discussed.