Modal analysis of nonlinear collision data based on generalized transfer function
In order to investigate the collision phenomenon caused by the gap between various parts of the mechanical system,a collision test with sinusoidal excitation is designed for an unilaterally constrained cantilever beam.The generalized transfer function is constructed based on the measured acceleration response of each discrete point of the cantilever beam and the collision internal force.Meanwhile,the modal distributions of the generalized transfer function under chaotic response and cyclic response are analyzed by simulation.The results show that the transfer function under chaotic response contains accurate modal frequency information,and this generalized transfer function is independent of the amplitude of the horizontal excitation to the system.Comparing the identified modal parameters modeled after the ERA-NExT method with the cantilever beam modal shapes,it is found that the modal shapes obtained from the chaotic response are in overall consistency with those of the cantilever beam model,and the first four orders of the modal shapes are in good accordance with each other.
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