关键词: 振动与波, 混沌运动, 响应特性, 单边碰撞, 悬臂梁

Abstract:

A cantilever beam with unilateral collision under base excitation is investigated experimentally. The response of the free end of the cantilever beam and the impact force were measured in the experiment. From the experimental results, it can be seen that the system response will exhibit periodic motion and chaotic motion under different excitation frequency. The high order modal frequencies of the cantilever beam are found in the power spectrum of the chaotic motion. This phenomenon is not obvious in periodic motion. The dynamic equation of the system is established with method of lumped mass and impact rule, and the dynamical response of the system is studied by using Runge-Kutta method. The numerical results coincide with the experimental results not only in time domain but also in frequency domain.