特定工况下内嵌钢球欧拉梁碰撞减振 性能研究

王建伟; 徐晖; 马宁

特定工况下内嵌钢球欧拉梁碰撞减振性能研究

西安交通大学航天航空学院强度与振动教育部重点实验室,西安 710049

基金项目: 国家自然科学基金(10372076)

计量
- 文章访问数: 1478
- HTML浏览量: 0
- PDF量: 12
- 被引次数: 0
出版历程
- 收稿日期: 2010-04-17
- 修回日期: 2010-07-06
- 刊出日期: 2011-04-28

Investigation on impact damping characteristic of interior inlaid steel ball for Euler beam under certain operating condition

Ministry of Education Key Laboratory for Strength and Vibration, School of Aerospace,Xi'an Jiaotong University,Xi'an 710049,China

摘要

摘要: 针对内嵌自主移动钢球欧拉梁碰撞系统,研究了在一复杂工况下内嵌自主移动钢球碰撞阻尼机制对梁残余衰减振动的抑制效果.采用线性弹簧-阻尼模型模拟钢球与梁之间的碰撞机制,通过分析建立了整个碰撞系统的分段线性动力学方程,并运用无量纲化、假设模态法、高阶模态截断等方法导出了系统的状态空间方程.数值计算结果充分表明在此工况下内嵌自主移动钢球对惯性力作用下梁的残余衰减振动在幅值上具有较好的减振效果,并且该效果具有显著的阶段性特征.增加钢球质量,碰撞阻尼机制也随之增强.
- 内嵌自主移动钢球 /
- 线性弹簧-阻尼模型 /
- 碰撞阻尼机制 /
- 分段线性动力学方程 /
- 残余衰减振动
Abstract: For an impact system of an Euler beam with interior inlaid freely moving steel ball,under a complicated operating condition,the impact damping characteristic of the steel ball was investigated for residual damped vibrations of the Euler beam acted by inertia forces.A linear spring-damping model was employed to simulate the impact between the steel ball and interior beam walls.Then the linear piecewise dynamic equations for the impact system were established,and the dimensionless state-space equations with finite degrees of freedoms were derived by introducing dimensionless variables,and assuming modes and truncating high order modes.Numerical calculations sufficiently indicate that,under this operating condition, the steel ball has a significant impact damping effect on suppressing the beam residual damped vibrations in amplitudes,and moreover,the impact damping exhibits a strong stage character.The impact damping of the ball is enhanced with increase of its mass.
- interior inlaid freely moving steel ball /
- linear spring-damping model /

HTML

参考文献(13)

[1]	黄文虎,王心清,张景绘,等.航天柔性结构振动控制的若干新进展[J].力学进展,1997,27(1):5-18. HUANG Wenhu,WANG Xinqing,ZHANG Jinghui,et al.Some advances in the vibration control of aerospace flexible structures[J].Advances in Mechanics,1997,27(1):5-18.(in Chinese)
[2]	每纲,沈亚鹏,王健.建筑结构振动控制的发展动态[J].力学进展,1998,28(4):442-453. MEI Gang,SHEN Yapeng,WANG Jian.A review on vibration control of civil structure[J].Advances in Mechanics,1998,28(4):442-453.(in Chinese)
[3]	Casciati F,De Stefano A.Simulating a conical tuned liquid damper[J].Simulation Modeling Practice and Theory,2003,11(5):353-370.
[4]	Cheng C C,Wang J Y.Free vibration analysis of a resilient impact damper[J].International Journal of Mechanical Sciences,2003,45(4):589-604.
[5]	LI Chunxiang,ZHOU Dai.Evaluation of multiple active lever-type tuned mass dampers for structures under ground acceleration[J].Engineering Structures,2004,26(3):303-317.
[6]	CHENG Jianlian,XU Hui.Inner mass impact damper for attenuating structure vibration[J].International Journal of Solids and Structures,2006,43(17):5355-5369.
[7]	ZHANG Xiongwen,LI Jun,XU Hui,et al.Numerical study of self-adaptive vibration suppression for flexible structure using interior inlay viscous fluid unit method[J].Journal of Sound and Vibration,2006,297(34):627-634.
[8]	王建伟,徐晖,季聪,等.内嵌流体柔性板的流体自适应减振机理数值分析[J].西安交通大学学报,2008,42(5):613-616. WANG Jianwei,XU Hui,JI Cong,et al.Numerical analysis of self-adaptive vibration suppression for flexible plate with imbedded fluid subsystem[J].Journal of Xi'an Jiaotong University,2008,42(5):613-616.(in Chinese)
[9]	罗冠炜,徐岩,谢建华.冲击消振器的概周期碰撞运动分析[J].爆炸与冲击,2003,23(4):360-367. LUO Guanwei,XU Yan,XIE Jianhua.Analysis of quasi-periodic impact motions of an impact damper[J].Explosion and Shock Waves,2003,23(4):360-367.(in Chinese)
[10]	Lee Y,Hamilton J F,Sullivan J W.The lumped parameter method for elastic impact problems[J].Journal of Applied Mechanics,1983,50(4a):823-827.
[11]	Shankar B V,Sun C T.An efficient numerical algorithm for transverse impact problems[J].Computers and Structures,1985,20(6):1009-1021.
[12]	诸德超,邢誉峰.点弹性碰撞问题之解析解[J].力学学报,1996,28(1):99-103. ZHU Dechao,XING Yufeng.Analytical solution of point elastic impact between structures[J].Acta Mechanica Sinica,1996,28(1):99-103.(in Chinese)
[13]	Misra A,Cheung J.Particle motion and energy distribution in tumbling ball mills[J].Powder Technology,1999,105(1-3):222-227.