塑性变形对梁自由振动的影响

Effect of Plastic Deformation on Free Vibration of Beam

讨论了具有线性随动强化且初始状态为屈服状态下的梁自由振动。分析表明:梁的固有频率随塑性变形而发生变化,并且低于梁的弹性振动固有频率。其变化的规律是:第1次振动的固有频率最小,其后振动的频率都随塑性变形逐渐增加,直至由于随动强化的影响完全变成弹性振动为止,此时的固有频率即为梁弹性振动的固有频率,而且振动幅度也将不变。

In the present paper, the free vibration of beam of materials of linear kinematical hardening was in- vestigated. The results showed that the natural frequency has changed with the plastic deformation, and it was below the natural frequency of elastic vibration of the beam. It was also shown that the frequency of the first vibration was the smallest one ; the later frequency of vibration was gradually increased by the plastic deformation and kinematical hardening, until the vibration was elastic. In this case, the natural frequency was the elastic one, and the strength of vibration keeos unchanged.