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Title: Vibration and buckling of a stepped beam
Authors: Lee, H.P. 
Ng, T.Y.
Issue Date: 1994
Source: Lee, H.P.,Ng, T.Y. (1994). Vibration and buckling of a stepped beam. Applied Acoustics 42 (3) : 257-266. ScholarBank@NUS Repository.
Abstract: The fundamental frequencies and the critical buckling loads of simply supported beams with stepped variation in thickness are computed using two algorithms based on the Rayleigh-Ritz method. The first algorithm, which has been used extensively in analyzing beams with non-uniform thickness, involves using a series of assumed functions that satisfy only the external boundary conditions and disregard the presence of the step. The second algorithm considers a beam with a step as two separate beams divided by the step. Two different sets of admissible functions which satisfy the respective geometric boundary conditions are assumed for these two fictitious sub-beams. Geometric continuities at the step are enforced by introducing artificial linear and torsional springs. Numerical results using these two algorithms are compared for simply supported beams with various step ratios. © 1994.
Source Title: Applied Acoustics
ISSN: 0003682X
Appears in Collections:Staff Publications

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