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王建伟,徐晖,马宁.力锤敲击作用下内嵌自主移动钢球欧拉梁碰撞减振性能研究[J].计算力学学报,2011,28(6):926~931
力锤敲击作用下内嵌自主移动钢球欧拉梁碰撞减振性能研究
Investigation on impact damping performance of interior inlaid freely moving steel ball for euler beam knocked by force-hammer
投稿时间:2010-04-09  修订日期:2011-02-11
DOI:10.7511/jslx20116019
中文关键词:  自主移动钢球  碰撞减振  弹簧-阻尼模型  分段线性动力学方程  状态空间方程
英文关键词:freely moving steel ball  impact vibration suppression  spring-damping model  piecewise linear dynamic equations  state-space equations
基金项目:国家自然科学基金(10372076)资助项目.
作者单位
王建伟 河南工业大学 土木建筑学院, 郑州 450052 
徐晖 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 
马宁 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 
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中文摘要:
      结合内嵌自主移动质量子系统梁/板实验平台实验结果,对力锤敲击作用下,内嵌自主移动钢球欧拉梁碰撞减振系统进行研究。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;运用无量纲化、假设模态法及高阶模态截断等方法导出系统的状态空间方程。数值计算结果表明,内嵌自主移动钢球对欧拉梁残余衰减振动在幅值上有较好的碰撞阻尼减振效果,但对低幅衰减振动的时间有所延长。钢球在梁的碰撞作用下获得初始动能,反过来对梁实施碰撞减振,碰撞的频率与幅度随梁振动的衰减而减弱;钢球质量增加,碰撞阻尼减振效果增强。
英文摘要:
      Combining experiments carried out in the workbench for the beam & plate with interior inlaid freely moving mass, an impact vibration suppression system, an Euler beam with an interior inlaid freely moving steel ball, is investigated while the beam is knocked by a force-hammer. A linear spring-damping model is employed to simulate the impact between the ball and the interior beam walls. Then the linear piecewise dynamic equations of the impact system are established, and the dimensionless state-space equations with finite degrees of freedoms are derived by introducing dimensionless variables, assuming modes and truncating high order modes. Numerical calculations reveal that the steel ball exhibits a better impact damping effect on decreasing the amplitude of the beam residual damped vibration, whereas it also prolongs the duration of the low-amplitude damped vibration unfavorably. The steel ball obtains the initial kinetic-energy from the beam, and then it applies the impact damping to the beam vibration. The frequency and amplitude of impacts decrease with the time increasing. The damping effect increases with the steel ball mass increasing.
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