Abstract
A uniform Bernoulli-Euler beam of finite length is supported by a Pasternak-type foundation and subjected to a harmonic force F = F0ejwt, concentrated at the midpoint. The influence of the “shear layer” is exhibited by comparison with the response of a beam supported by a Winkler-type foundation. At the first resonant frequency, unbounded values occur for the bending moment, which are not expected according to Winkler's hypothesis. Observations are made on the influence of damping and inertia of the foundation. Analytical expressions as well as frequency-response curves are presented for the beam deflections and the bending moments.
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