SYNTHESIS OF DOUBLY SYMMETRIC VIBRATING BEAMS INCLUDING SHEAR.
NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
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A fundamental, non-linear, ordinary differential equation is derived for the flexural vibrations of a non-uniform beam, including shear. This equation is solved with the specializing assumptions of a constant shear coefficient and that the moment of inertia is directly proportional to the cross sectional area. A perturbation method is used and the eigen frequencies and mode shapes obtained are functions of a perturbation parameter epsilon. These solutions are accurate up to the second order of episilon. Author
- Structural Engineering and Building Technology