杨晓东, 商林源. 复振型的物理意义:以两自由度陀螺系统为例. 力学与实践, xxxx, x(x): 1-3. doi: 10.6052/1000-0879-23-506
引用本文: 杨晓东, 商林源. 复振型的物理意义:以两自由度陀螺系统为例. 力学与实践, xxxx, x(x): 1-3. doi: 10.6052/1000-0879-23-506
Yang Xiaodong, Shang Linyuan. The physical meaning of complex modes: an example of2dof gyroscopic system. Mechanics in Engineering, xxxx, x(x): 1-3. doi: 10.6052/1000-0879-23-506
Citation: Yang Xiaodong, Shang Linyuan. The physical meaning of complex modes: an example of2dof gyroscopic system. Mechanics in Engineering, xxxx, x(x): 1-3. doi: 10.6052/1000-0879-23-506

复振型的物理意义:以两自由度陀螺系统为例

THE PHYSICAL MEANING OF COMPLEX MODES: AN EXAMPLE OF2DOF GYROSCOPIC SYSTEM

  • 摘要: 在传统振动力学教学中,复振型主要用于振动方程解耦的数学操作,对其物理意义阐述不清楚。本文从简单的旋转框架下两自由度线性系统入手,阐述了模态振动中复振型表征各振子位移与速度组合的比例关系,而非实振型所表征的位移比例关系。本文明确了复振型振动的非同时性及伴随性,引导振动力学的初学者深刻理解复振型的直观物理意义。

     

    Abstract: In the traditional teaching of vibration mechanics, the complex modes have been used to decouple the systems as a manipulation tool. The physical meaning of the complex modes is not clearly transferred. In this paper, the relationship between the combo of displacement and velocity of every oscillators have been demonstrated as the system shows the complex modes, illustrated by a 2DOF rotating system. The non-uniform and following features of the complex modes have been discussed, which give visual physical meaning to the beginners of the vibration course.

     

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