含间隙振动系统低频周期冲击振动的模式类型及分岔特征

Pattern types and bifurcation characteristics of the low frequency periodic impact vibration of a periodically forced system with a clearance

研究了带有间隙-刚性约束(弹性约束)振动系统的低频振动特性,分析了系统低频范围内基本周期冲击振动和亚谐冲击振动的模式类型、多样性、参数平面内的分布规律及分岔边界特征。通过多目标、多参数协同仿真分析发现了相邻基本周期冲击振动相互转迁的不可逆性及其伴随的两类转迁区域-迟滞域和舌形域,研究了迟滞域和舌形域的形成和分布特征及舌形域内亚谐冲击运动的模式类型及规律特征,分析了基本周期冲击振动向非完整和完整颤冲击振动的转迁过程。

Two periodically-forced systems with single rigid stop and single elastic stop respectively were considered. Pattern types,diversity,regularity and bifurcation characteristics of the fundamental group of impact motions and subharmonic impact motions in the parameter plan,in low frequency range,were analyzed. The transition irreversibility of adjacent impact motions with fundamental period and two types of transition regions,narrow hysteresis and tongues-shaped regions,were found by using the multi-target and multi-parameter co-simulation analysis. The occurrence mechanism and distribution characteristics of the two types of transition regions (hysteresis and tongue-shaped regions),as well as the pattern types and regularity of subharmonic impact motions in the tongue-shaped regions were studied. The transition law from impact motions with fundamental period to incomplete and complete chattering-impact vibrations was studied.