索-梁组合结构非线性时滞减振研究

采用时滞减振技术对索-梁组合结构进行了振动控制分析。通过Hamilton原理建立了索-梁组合结构的运动控制方程,引入时滞减振技术,应用多尺度摄动方法得到了主共振和1/3亚谐波共振的解的近似表达式。结果表明,时滞减振技术的两个主要参数时滞和控制增益能有效调节阻尼和频率。通过调节控制增益和时滞值,可增大阻尼比,避免共振域,从而对索-梁组合结构实现减振。

Nonlinear time delay vibration reduction technique for cable-beam composite structures

Here, the time-delay vibration reduction technique was used to do vibration control analysis for cable- beam composite structures. The dynamic governing equations for a cable-beam composite structure were established with Hamilton principle. The time-delay vibration reduction technique was introduced, and the multi-scale perturbation method was used to solve the dynamic governing equations, and obtain the approximate solution expressions to primary resonance and 1/3 subharmonic resonance. The results showed that two main parameters of the time-delay vibration reduction technique including time delay and control gain can be used to effectively adjust the system’s damping and frequency; through adjusting control gain and time-delay value, the system’s damping ratio can be increased, resonance fields can be avoided, and cable-beam composite structures’ vibration reduction can be realized.