首页Home | 期刊简介Intro | 投稿指南Guide | 学术道德与规范Ethics | 征订Subscribe | 预出版OnlineFirst | 收录情况Indexed | 资料下载Download | English

本文引用格式:李炀,谭霞,丁虎,陈立群.两端带有弹簧支撑的轴向运动梁振动分析[J].动力学与控制学报,2019,17(4):335~340;   Li Yang,Tan Xia,Ding Hu,Chen Liqun.Nonlinear transverse vibration of an axially moving beam with vertical spring boundary[J].Journal of Dynamics and Control,2019,17(4):335-340.
两端带有弹簧支撑的轴向运动梁振动分析    点此下载全文
李炀  谭霞  丁虎  陈立群
上海大学 上海市应用数学和力学研究所, 上海 200072,上海大学 上海市应用数学和力学研究所, 上海 200072,上海大学 上海市应用数学和力学研究所, 上海 200072,上海大学 上海市应用数学和力学研究所, 上海 200072;上海大学 力学系, 上海 200444
基金项目:国家自然科学基金项目(11772181),上海市教育委员会“曙光”计划(17SG38),上海市教育委员会创新计划(2017-01-07-00-09-E00019)
DOI:10.6052/1672-6553-2019-029
摘要:
      研究外部激励下,两端带有弹簧支撑的轴向运动梁的横向振动.运用广义哈密顿原理,推导得到运动梁的控制方程.通过数值方法研究系统的固有频率和模态,解析分析得到轴向运动梁的临界速度表达式并考虑弹簧刚度对临界速度的影响.发现临界速度随弹簧刚度增大而收敛于某一值.运用Galerkin截断法数值研究两端带有弹簧支撑的轴向运动梁的稳态幅频响应曲线,并通过计算力传递率来研究系统的隔振效果.发现力传递率在高频外激励下存在多个峰值.
关键词:轴向运动梁,弹性支撑,临界速度,幅频响应,传递率
Nonlinear transverse vibration of an axially moving beam with vertical spring boundary    Download Fulltext
Li Yang  Tan Xia  Ding Hu  Chen Liqun
Fund Project:
Abstract:
      The transverse vibration of an axially moving elastic beam supported by vertical spring boundary under external excitation was studied. By using the generalized Hamilton principle, the governing equation of motion was obtained. Moreover, the modal analysis was conducted by using analytic method, and the relationship between natural frequency and axial velocity was revealed. The expression of the critical velocity of the axially moving beam was derived, and the effect of the spring stiffness on the critical velocity was studied. The critical velocity converges to a certain value with the increase of the spring stiffness. Furthermore, the amplitude frequency responses in steady state were obtained by using the Galerkin truncation method. The vibration isolation performances of the system were evaluated by the force transmissibility. There are multiple peaks of the force transmissibility under high frequency external excitations.
Keywords:axially moving beam,elastic support,critical velocity,amplitude frequency response,transmissibility
查看全文  查看/发表评论  下载PDF阅读器

您是第3361384位访问者

版权所有:《动力学与控制学报》
地址:湖南省长沙市湖南大学逸夫楼203室 邮编:410082 E_mail: dlxykzxb@hnu.edu.cn  电话:0731-88822722

本系统由北京勤云科技发展有限公司设计