A dynamic model with time-varying excitation of eccentric rotating structures was established based on Hamilton principle to solve the parametric vibration problem of eccentric rotational ring-shaped periodic structures.The influences of topological structures with different supports and parameter combinations on natural frequency splitting were analyzed.Floquét theory was used to calculate the instability regions for different parameters,and the relationship between the natural frequency splitting and the instability regions was revealed.In addition,the influences of wavenumbers,intergroup angle,and the angle between the radius and rotary supports of grouping topology on the stability were analyzed,based on which a method for improving stability was proposed.The results showed that natural frequencies splitting and the parameter excitation arose when the topology of the rotary supports and wavenumbers met some specific relationships.The parametric instability mainly appeared at the natural frequency and their linear combinations.The instability regions changed periodically with the intergroup angle,and the angle between the radius and rotary supports had different influences on each instability region.
关键词
偏心旋转环状周期结构/旋转支撑/参激振动/固有频率分裂/参激稳定性
Key words
eccentric rotational ring-shaped periodic structures/rotational supports/parametric vibration/natural frequency splitting/parametric stability
维普
万方数据