Experimental investigation of single-mode responses in a fixed-fixed buckled beam

被引:66
作者
Kreider, W [1 ]
Nayfeh, AH [1 ]
机构
[1] Virginia Polytech Inst & State Univ, Dept Engn Sci & Mech, Blacksburg, VA 24061 USA
基金
美国国家科学基金会;
关键词
buckled beam; clamp design; asymmetric responses; bifurcations;
D O I
10.1023/A:1008231012968
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The nonlinear, single-mode responses of a fixed-fixed, buckled beam are investigated under the case of a uniform, transverse, harmonic excitation. In order to avoid axial slipping and to obtain meaningful data, a clamping apparatus was designed to maximize the clamping force applied to the beam. To fully characterize the single-mode responses, data were obtained at various levels of buckling up to 3.3 times the thickness of the beam. The data demonstrate that at a low level of buckling, supercritical period doubling occurs during an amplitude sweep in which the first mode is directly excited. However, as the buckling level increases, the period-doubling bifurcation becomes subcritical during such amplitude sweeps. In addition, a period-five motion, broadband responses, and responses with an unexplained sideband structure were observed.
引用
收藏
页码:155 / 177
页数:23
相关论文
共 23 条
[11]  
Nayfeh A.H., 1995, NONLINEAR DYNAMICS S, P175
[12]  
Nayfeh A.H., 2008, Applied nonlinear dynamics
[13]   INVESTIGATION OF NATURAL FREQUENCIES AND MODE SHAPES OF BUCKLED BEAMS [J].
NAYFEH, AH ;
KREIDER, W ;
ANDERSON, TJ .
AIAA JOURNAL, 1995, 33 (06) :1121-1126
[14]  
NAYFEH AH, IN PRESS NONLINEAR D
[15]  
Nayfeh AH, 1992, Nonlinear Dyn, V3, P145, DOI DOI 10.1007/BF00118990
[16]  
PAKDEMIRLI M, 1995, NONLINEAR DYNAM, V8, P65
[17]   CHAOTIC VIBRATIONS OF NON-SHALLOW ARCHES [J].
THOMSEN, JJ .
JOURNAL OF SOUND AND VIBRATION, 1992, 153 (02) :239-258
[18]   NONLINEAR DYNAMICS OF A SHALLOW ARCH UNDER PERIODIC EXCITATION .1. 1/2 INTERNAL RESONANCE [J].
TIEN, WM ;
NAMACHCHIVAYA, NS ;
BAJAJ, AK .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1994, 29 (03) :349-366
[19]   NONLINEAR DYNAMICS OF A SHALLOW ARCH UNDER PERIODIC EXCITATION .2. 1/1 INTERNAL RESONANCE [J].
TIEN, WM ;
NAMACHCHIVAYA, NS ;
MALHOTRA, N .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1994, 29 (03) :367-386
[20]  
TSENG WY, 1971, J APPL MECH, V38, P67