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带裂纹旋转柔性梁系统的刚柔耦合动力学研究
引用本文:蒋宪宏,邓子辰,李庆军,张凯. 带裂纹旋转柔性梁系统的刚柔耦合动力学研究[J]. 计算力学学报, 2016, 33(4): 564-569. DOI: 10.7511/jslx201604022
作者姓名:蒋宪宏  邓子辰  李庆军  张凯
作者单位:1. 西北工业大学 力学与土木建筑学院,西安,710129;2. 西北工业大学 力学与土木建筑学院,西安 710129; 西北工业大学 理学院,西安 710129
基金项目:国家自然科学基金(11432010)资助项目.
摘    要:对具有刚柔耦合效应的带裂纹旋转柔性梁进行建模和动力学特性分析研究。采用晶格弹簧离散模型,利用无质量弹簧模拟梁上裂纹,通过考虑梁变形的二阶耦合项建立了带裂纹旋转柔性梁系统的一次近似耦合动力学控制方程。数值计算结果表明,裂纹的存在会使旋转柔性梁的固有频率降低,并且随着梁转速的增大,这种降低效应呈减弱趋势;值得注意的是,裂纹梁的固有频率与裂纹处的弯矩具有正相关关系。此外,裂纹的存在不仅会使转速变化阶段梁的末端位移响应增大,还会对转速稳定后梁的末端振荡产生显著的影响。

关 键 词:刚柔耦合  裂纹  晶格弹簧模型  一次近似耦合  固有频率
收稿时间:2016-05-09
修稿时间:2016-06-10

Rigid-flexible coupling dynamic analysis of a rotating flexible beam with cracks
JIANG Xian-hong,DENG Zi-chen,LI Qing-jun and ZHANG Kai. Rigid-flexible coupling dynamic analysis of a rotating flexible beam with cracks[J]. Chinese Journal of Computational Mechanics, 2016, 33(4): 564-569. DOI: 10.7511/jslx201604022
Authors:JIANG Xian-hong  DENG Zi-chen  LI Qing-jun  ZHANG Kai
Affiliation:1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi''an 710129, China;2. School of Natural and Applied Sciences, Northwestern polytechnical University, Xi''an 710129, China;1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi''an 710129, China;2. School of Natural and Applied Sciences, Northwestern polytechnical University, Xi''an 710129, China;1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi''an 710129, China;2. School of Natural and Applied Sciences, Northwestern polytechnical University, Xi''an 710129, China;1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi''an 710129, China;2. School of Natural and Applied Sciences, Northwestern polytechnical University, Xi''an 710129, China
Abstract:The effect of a crack on the dynamic behaviors of a rotating flexible beam system with rigid-flexible coupling effect is investigated through the application of a lattice spring model (LSM).Based on the local flexibility theory of cracks,the flexural stiffness of the cracked section is represented by a massless rotational spring,and then the first-order approximate coupling model of the rotating flexible beam is established,which takes account of the nonlinear coupling between transverse and longitudinal deformations.Numerical results show that the presence of the crack lowers the natural frequencies of the rotating flexible beam,and as the rotation speed of beam increases,the impact of the crack on the natural frequencies becomes weakens.In particular,a positive correlation between the natural frequencies and the bending moment at the crack is discovered.In addition,the crack can not only increase the response at the beam tip during the stage of rotation speed increase,but also has a significant impact on its oscillation amplitude during stable rotation.
Keywords:rigid-flexible coupling  crack  LSM  first-order approximate coupling  natural frequencies
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