Effects of non-ideal boundary conditions on vibrations of microbeams

Effects of non-ideal boundary conditions on the vibrations of microbeams are investigated. Stretching effect as well as axial force is included along with the non-ideal boundary conditions. The Method of Multiple Time Scales (a perturbation technique) is employed to solve the non-dimensional equation of motion for subharmonic and superharmonic resonance cases. The frequencies and mode shapes obtained are compared with the ideal boundary conditions case and the differences between them are contrasted on frequency response curves.