部分覆盖被动约束层阻尼梁的动力学建模和振动特性分析

Dynamic Modeling and Vibration Characteristics Analysis of Beams Covered Partial Passive Constrained Layer Damping

考虑黏弹层的剪切作用及偏心矩的影响,结合线黏弹性理论和弹性梁的弯曲理论,建立了被动约束层阻尼梁的动力学控制方程;并采用齐次扩容精细积分技术,提出了一种分析部分覆盖被动约束层阻尼梁振动和阻尼特性的半解析半数值方法。该方法应用范围较广,计算精度较高,可适用于较高的频率范围。还分析了覆盖率、覆盖位置等结构参数对被动约束层阻尼梁的动力学特性的影响。

Considering the impact of the shearing and eccentric moment of the viscoelastic layer, dynamics equations of a passive constrained layer damping beam is established by combining with linear viscoelastic theory and bent theory of the beam. By means of the extended homogeneous capacity precision integration technology, a semi-an- alytical semi-numerical method is also proposed to analyze the vibration and damping characteristics of the beam cov- ered partial passive constrained damping. The present method is accuracy, and it can be applied in a wide range and higher frequency range. The effects of structural parameters, such as the covering rate and covering placement, on the dynamic characteristics of the beam covered partial passive constrained damping are also discussed in the paper.