Abstract:
Influence of rotatory inertia correction factor on the vibration of elastically supported non-uniform
Rayleigh beam on variable bi-parametric elastic foundation is investigated. The method of Galerkin is
used to reduce the governing fourth order partial differential equation with variable and singular coefficients
to a sequence of coupled second order ordinary differential equation which is then
simplified with modified asymptotic method of Struble. The simplified equation is then solved using
the Laplace transformation technique and convolution theory. The closed form solutions obtained is
then analyzed to determine the condition of resonance. Graphs are drawn to show the effects of
rotatory inertia as well as the foundation and shear moduli on the vibration of the elastically
supported non-uniform Rayleigh beam resting on variable bi-parametric (Pasternak) elastic
foundation.
