用于含阻尼薄板结构减振的分布式动力吸振器的优化方法研究

动力吸振器用于结构减振时,其参数需要经过优化调谐才能获得最优的减振效果;目前,针对用于连续体结构减振的分布式(或多个)动力吸振器还没有很便捷的优化方法。研究了用于抑制含阻尼薄板结构基础模态振动的分布式动力吸振器的参数优化方法;利用模态叠加法建立了薄板与分布式动力吸振器的动力学方程,根据动力吸振器的振动特性推导得到了薄板基础模态与吸振器的简化二自由度运动方程,结合含阻尼的线性系统中动力吸振器最优调谐参数的求解方法,最终得到了分布式动力吸振器的解析优化公式。通过数值计算验证了优化公式的有效性;数值计算分析还表明优化公式对分布式动力吸振器抑制薄板结构的低频综合振动有很好的优化效果。

Optimization method for distributed dynamic vibration absorbers applied in vibration reduction of damped thin plate structures

When a dynamic vibration absorber ( DVA) is used for vibration reduction, its parameters need to be optimized to obtain the optimal vibration reduction effect. At present, there is no simple optimization method for distributed DVAs used for vibration reduction of damped continuous structures. Here, the parametric optimization method for distributed DVAs to suppress vibrations of damped thin plate structures with multiple natural vibration modes was studied. The dynamic equations for a damped thin plate with distributed DVAs were established according to the modal superposition method. Based on vibration characteristics of DVAs, simplified 2-DOF equations of motion for the damped thin plate with DVAs were derived. Combining with the solving method for optimal tuning parameters of DVA in a damped linear system, the analytical optimization formulas for distributed DVAs * parameters were deduced. Their effectiveness was verified with numerical calculations. Numerical calculation results showed that the deduced optimization formulas have a good optimization effect on distributed DVAs to suppress vibrations with lower frequencies of damped plate structures containing multiple natural vibration modes.