Prediction of period-1 impacts in a driven beam

被引:41
作者
Bishop, SR
Thompson, MG
Foale, S
机构
[1] Centre for Nonlinear Dynamics, Civil Engineering Building, University College London, London WC1E 6BT, Gower Street
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1996年 / 452卷 / 1954期
关键词
D O I
10.1098/rspa.1996.0137
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper provides new insight into the dynamical response of an impacting driven beam. A simple mathematical model utilising a coefficient of restitution rule captures qualitative (and limited quantitative) behaviour of an experimental apparatus allowing the parameter space to be divided into zones according to their behaviour type. Emphasis is directed towards identifying the zones which separate regular period-1 impacting solutions from irregular, apparently chaotic, impacting and non-impacting motions.
引用
收藏
页码:2579 / 2592
页数:14
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