Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial Discretization

Applied Sciences

Wei Zhang¹  Xiao-Dong Yang¹  Bao-Yin Xie¹  Quan Hu² 

[1] Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;

关键词: gyroscopic structure;    modal discretization;    spatial discretization;    complex modes;    numerical methods;   

DOI  :  10.3390/app10010160

来源: DOAJ

【 摘 要 】

In this study, two discretization numerical methods, modal discretization and spatial discretization methods, were proposed and compared when applied to the gyroscopic structures. If the distributed gyroscopes are attached, the general numerical methods should be modified to derive the natural frequencies and complex modes due to the gyroscopic effect. The modal discretization method can be used for cases where the modal functions of the base structure can be expressed in explicit forms, while the spatial discretization method can be used in irregular structures without modal functions, but cost more computational time. The convergence and efficiency of both modal and spatial discretization techniques are illustrated by an example of a beam with uniformly distributed gyroscopes. The investigation of this paper may provide useful techniques to study structures with distributed inertial components.

【 授权许可】

Unknown