轴向力对轴系弯扭耦合振动特性的影响

当轴系的截面质心和剪切中心不一致时,将会产生弯扭耦合振动。轴系轴向受力后,等效扭转刚度和弯曲刚度等参数都会有所改变,因而对轴系弯扭耦合振动特性也将有所变化,从而可能对轴系的安全运行产生影响。建立了一个集中参数的当量力学模型,推导了附加了轴向力后轴系的弯曲振动以及弯扭耦合振动的传递矩阵。通过对轴系的弯扭耦合振动特性进行分析计算,得到了一系列关于轴向力对轴系弯扭耦合振动的影响规律,这些规律对旋转轴系的结构设计具有一定的意义。

偏心振动排种器振动特性的理论分析

利用动力学分析法建立了偏心振动式排种系统质心位移和绕质心转动角位移的微分方程。利用Laplace变换求出了反映系统结构特征的传递函数,分析了系统的幅频特性和相频特性。研究了系统刚度、粘性阻尼系数尤其是变质量等参数对系统固有频率和阻尼比的影响。提出了在系统设计过程中,应采取措施降低质量变化对系统性能的影响,提高排种均匀性;在使用过程中,通过改变振子转动角速度来调节排种速度的观点。研究成果对该排种器的模拟试验与参数优化奠定了理论基础。

Effects of Correlation between Network Structure and Dynamics of Oscillators on Synchronization Transition in a Kuramoto Model on Scale-Free Networks

A recent study has found an explosive synchronization in a Kurammoto model on scale-free networks when the natural frequencies of oscillators are equal to their degrees. In this work, we introduce a quantity to characterize the correlation between the structural and the dynamical properties and investigate the impacts of the correlation on the synchronization transition in the Kuramoto model on scale-free networks. We find that the synchronization transition may be either a continuous one or a discontinuous one depending on the correlation and that strong correlation always postpones both the transitions from the incoherent state to a synchronous one and the transition from a synchronous state to the incoherent one. We find that the dependence of the synchronization transition on the correlation is also valid for other types of distributions of natural frequency.