... excited cantilever undergoing transverse vibrations and investigate the dynamics near the resonant frequency. Haight and King 5 used a set of two-dimensional cross-coupled partial integro-differential equations for a transverse base excited cantilever that included longitudinal and nonlinear...

... perturbation techniques. Recently, Atanackovic and Cveticanin 11 developed coupled partial differential equations in both the curved deformed space coordinate and the linear undeformed space coordinate of a pinned-roller beam subjected to a compressive force. dynamics integro-differential equations...