噪声与振动控制Issue(3)：6-10,14,6.DOI:10.3969/j.issn.1006-1335.2014.03.002
基于有限差分法的变截面旋转梁弯曲振动
Analysis of Bending Vibration of Rotating Tapered Beams Based on Finite Difference Method
朱由锋 1朱由国2
作者信息
- 1. 山东科技大学 机械电子工程学院，山东 青岛 266590
- 2. 青岛胶南绿茵环保科技有限公司，山东 青岛 266400
- 折叠
摘要
Abstract
The bending vibration equations of rotating tapered beams are established based on Hamilton’s principle. The equations are then discretized by using finite difference method and the mass and stiffness matrices are gotten. The natural frequencies for circular, rectangular and blade cross-section beams are obtained by using MATLAB vibration toolbox. The results of computation are analyzed and compared with those in relevant references. The linearized stationary state spaces of autonomous and non- autonomous systems are built based on the mass and stiffness matrices. Then the displacement curves and phase tracks of the rotating tapered beams are drawn with MATLAB vibration toolbox. Finally the amplitude-frequency and phase-frequency characteristic curves for the non-autonomous rotating tapered beams are plotted based on the frequency-domain analysis.关键词
振动与波/变截面/旋转梁/有限差分/固有频率/状态空间Key words
vibration and wave/taper/rotating beams/finite difference/natural frequency/state space分类
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朱由锋,朱由国..基于有限差分法的变截面旋转梁弯曲振动[J].噪声与振动控制,2014,(3):6-10,14,6.
