含多刚性约束的两自由度振动系统的动力学特性分析

Dynamic characteristics of a two-degree-of-freedom vibration system with multiple rigid constraints

建立了含多刚性约束的两自由度碰撞振动系统的力学模型,给出了质块于各刚性约束面黏滞运动的条件。通过多目标、多参数协同仿真,在(ω,δ)-参数平面得到了系统周期运动的模式类型和分布区域。讨论了低频域内基本周期碰撞振动群的分布区域和转迁规律,相邻基本周期碰撞振动相互转迁的不可逆性产生了两类转迁区域:舌状域和带状迟滞域。该研究分析了舌状转迁域内亚谐碰撞振动的类型和形成机理,以及系统参数对于系统周期碰撞振动在(ω,δ)-参数平面上存在类型、分布规律、转迁特点的影响。

The mechanical model of a two-degree-of-freedom impact vibration system under multiple rigid constraints was established,and the conditions of chattering motion on multiple collision surfaces were given.The pattern types and distribution areas of the system’s periodic motions were obtained on a(ω,δ)-parameter plane by multi-objective and multi-parameter co-simulation.The distribution and formation of the fundamental period group of impact motions in the low frequency region were discussed.It is shown the irreversibility of the mutual transition of fundamental period impact motions produces two types of transition regions,the tongue-shaped region and the band-shaped hysteretic region.The type and formation of subharmonic impact motion in the tongue-shaped regions were analyzed.The influence of system parameters on the type,distribution and transition of periodic impact motions of the system on the(ω,δ)-parameter plane was analyzed.