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The vibration frequencies of an elastically supported cantilever column with variable cross‐section and distributed axial load
Author(s) -
Glück J.
Publication year - 1972
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.4290010407
Subject(s) - cantilever , buckling , vibration , structural engineering , cross section (physics) , stiffness , transverse plane , boundary value problem , column (typography) , polynomial , mechanics , materials science , physics , mathematics , mathematical analysis , engineering , acoustics , connection (principal bundle) , quantum mechanics
Abstract The solution for transverse vibration frequencies of an elastically supported cantilevered column with continuously varying cross‐section under distributed axial load is developed. Boundary conditions are formulated for fixed and elastic support. Values of the fundamental frequency are tabulated for various cross‐sections and axial load distributions due to self‐weight as functions of the ratios between the rigidities and also the axial loads at the fixed and free ends, the ratio between the actual and critical buckling axial load, the degree of polynomial approximation and the rotational stiffness of the elastic support.