FREE AND FORCED LONGITUDINAL VIBRATIONS OF A CANTILEVERED BAR WITH A CRACK

被引:37
作者
COLLINS, KR
PLAUT, RH
WAUER, J
机构
[1] Charles E. Via, Jr. Department of Civil Engineering, Virginia Polytechnic Institute, State University, Blacksburg, VA
[2] Institut für Technische Mechanik, Universität Karlsruhe, Karlsruhe 1
来源
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1992年 / 114卷 / 02期
关键词
D O I
10.1115/1.2930246
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Longitudinal vibrations of a cantilevered bar with a transverse crack are investigated. For undamped, unforced vibrations, frequency spectra are computed and the effects of the crack location and compliance on the fundamental natural frequency are determined. For vibrations caused by a distributed, longitudinal, harmonic force, the steady-state amplitude of motion of the free end is plotted as a function of the forcing frequency, crack location, and crack compliance, and frequency spectra are also obtained. Results for a breathing crack are compared to those for a crack which remains open and those for an uncracked bar.
引用
收藏
页码:171 / 177
页数:7
相关论文
共 19 条
[1]  
Adams R.D., Cawley P., Pye C.J., Stone B.J., A Vibration Technique for Non-Destructively Assessing the Integrity of Structures, Journal of Mechanical Engineering Science, 20, pp. 93-100, (1978)
[2]  
Christides S., Barr A.D.S., A Theoretical and Experimental Study of the Extensional Vibration of Cracked Beams, Applied Solid Mechanics -2, pp. 101-121, (1988)
[3]  
Collins K.R., Plaut R.H., Wauer J., Detection of Cracks in Rotating Timoshenko Shafts Using Axial Impulses, ASME Journal of Vibration and Acoustics, 113, pp. 74-78, (1991)
[4]  
Dentsoras A.J., Dimarogonas A.D., Resonance Controlled Fatigue Crack Propagation in a Beam Under Longitudinal Vibrations, International Journal of Fracture, 23, pp. 15-22, (1983)
[5]  
Gu S.-N., Zhang J.-L., Jiang J.-S., He C.-A., A Vibration Diagnosis Approach to Structural Fault, ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, 3, pp. 88-93, (1989)
[6]  
Gudmundson P., Eigenfrequency Changes of Structures Due to Cracks, Notches or Other Geometrical Changes, Journal of the Mechanics and Physics of Solids, 30, pp. 339-353, (1982)
[7]  
Haisty B.S., Springer W.T., The Longitudinal Vibration Characteristics of a Uniform Beam Containing Two Symmetric Discontinuities, Proceedings of the 1985 Society for Experimental Mechanics Spring Conference, pp. 389-395, (1985)
[8]  
Kirmser P.G., The Effect of Discontinuities on the Natural Frequency of Beams, Proceedings of the American Society for Testing and Materials, 44, pp. 897-904, (1944)
[9]  
Natsiavas S., On the Dynamics of Oscillators with Bilinear Damping and Stiffness, International Journal of Non-Linear Mechanics, 25, pp. 535-554, (1990)
[10]  
Papadopoulos C.A., Dimarogonas A.D., Coupled Longitudinal and Bending Vibrations of a Cracked Shaft, ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, 110, pp. 1-8, (1988)