Abstract
This paper deals with the response analysis of nonlinear vibration in continuous system excited by periodic displacement with arbitrary functions. A system of steady state forced vibration in a simply supported beam connected with a nonlinear spring at midpoint of span is considered. The restoring force is assumed to be a piecewise-linear system. For such a system, the beam undergoes a nonlinear vibration when the amplitude is large. In order to analyze the main resonance for the system, the Fourier series method is applied to obtain an exact solution for response 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 experiments are also performed to verify the numerical results.
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