精梳机钳板机构参激振动稳定性分析  

Dynamic stability analysis of nipper mechanism on comber

作　　者：赵春花[1] 汤文成[1] 

机构地区：[1]东南大学机械工程学院,南京211189

出　　处：《东南大学学报（自然科学版）》2010年第1期101-105,共5页Journal of Southeast University：Natural Science Edition

基　　金：江苏省科技成果转化资助项目(BA2004035)

摘　　要：为了提高钳板机构的运动稳定性,提出了一种新的参数平面,实现了对钳板机构的稳定性分析.首先根据欧拉梁理论建立偏微分运动方程,利用迦辽金法转化偏微分方程为周期变系数常微分方程.其次借助Floquent理论,采用傅立叶级数把周期变系数常微分方程的稳定性问题转变为特征值的求解问题,该方法易于编程实现.提出以构件的长度比、惯性矩比作为构建特征值曲线平面的参数,并通过比较验证了利用该参数平面所得的稳定图更加合理化.最后利用该参数平面分析了钳板机构的稳定性,分析表明,随着速度的提高,不稳定区域越来越宽;影响钳板机构稳定性的主要原因是机构的前两阶模态,可以通过调整构件的长度比、惯性矩比来提高钳板机构运动稳定性.Dynamic stability analysis of nipper mechanism on comber is implemented in a parameter plane proposed, in order to improve the motion stability of nipper mechanism. The linearized partial differential equation of motion is derived based on Euler-Bemoulli beam theory, and reduced to a set of coupled Hill＇s equations by using Galerkin＇s method. Fourier series methods are then applied to obtain the stability boundaries based on Floquent theory by translating the problem into solving eigen- values. The new parameter plane including the ratio of the length and inertia of the rigid link to the length and inertia of the flexible coupler is constructed and proved to be more reasonable than the pa- rameter plane in literature. Finally, analysis and discussion in dynamic stability of nipper mechanism show that instable regions become wider with speed increasing and the chief factor determining motion stability of nipper mechanism is its first two modes which can be changed by adjusting the ratio of the length and inertia.

关 键 词：钳板机构 Floquent理论 参激振动 参数平面 傅立叶级数 

分 类 号：TH112.5[机械工程—机械设计及理论]