Abstract
This paper deals with the response analysis of impact vibration in continuous system excited by periodic displacement with arbitrary functions. A system of steady vibration in a cantilever having an attached mass at free end is considered. The cantilever has structural damping in the beam, and it is being put in the viscous fluid with hydrodynamic drag. The attached mass collides elastically with the coil spring clamped on asymmetrical faces when the amplitude of mass exceeds the clearance between the coil spring and the attached mass. Then, the restoring force is assumed to be characteristics of a piecewise-linear system. For such a system, the beam undergoes a nonlinear vibration when the attached mass collides with the coil spring. In order to analyze the resonance phenomena for the system, the Fourier series method is applied to obtain an exact solution for resulting vibration. The numerical calculation is performed to obtain the resonance curves. The numerical results show effects of the stiffness of attached spring and the amplitude of excitation on the resonance curves. The numerical experiments are also carried out to verify the numerical results.
