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Effect of rotary inertia on vibration of tapered beams
Author(s) -
Gupta Arvind K.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230509
Subject(s) - rotary inertia , moment of inertia , inertia , cantilever , vibration , beam (structure) , displacement (psychology) , euler's equations , cross section (physics) , mathematics , physics , structural engineering , classical mechanics , engineering , acoustics , psychology , quantum mechanics , psychotherapist
Rotary inertia and dynamic‐correction rotary inertia matrices for a linearly tapered beam element of any cross‐sectional shape are derived in explicit form. Exact expressions for the required displacement functions are used in the derivation of these matrices. Variation of area and moment of inertia of the cross‐section along the axis of the element are exactly represented by simple functions involving shape factors. Vibration analysis results of a tapered cantilever beam of I‐section, obtained with and without the rotary inertia matrices are compared and effect of rotary inertia on vibration of tapered beams discussed.