Classical Timoshenko beam theory includes a shear correction factor κ which is often used to match natural vibrational frequencies of the beam. In this note, a number of static and dynamic examples are considered which provide a theoretical basis for specifying κ=1. Within the context of Cosserat theory, natural frequencies of the beam can be matched by appropriate specification of the director inertia coefficients with κ=1.

Issue Section:
Brief Notes
Keywords:
vibrations, shear deformation, bending
Topics:
Euler-Bernoulli beam theory, Inertia (Mechanics), Shear (Mechanics), Vibration, Kinematics, Timoshenko beam theory
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