THE MODELING OF THE OPENING AND CLOSURE OF A CRACK

被引：64

作者：

ABRAHAM, ONL

BRANDON, JA

机构：

[1] Division of Mechanlcal Engineering and Energy Studies, School of Engineering, University of Wales College of Cardiff, Cardiff, CF21XH

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1995年 / 117卷 / 03期

关键词：

D O I：

10.1115/1.2874463

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The paper presents a method which utilizes substructure normal modes to predict the vibration properties of a cantilever beam with a breathing transverse crack. The two segments of the cantilever beam, separated by the crack are related to one another by time varying connection matrices representing the interaction forces. The connection matrices are expanded in a Fourier series leading to a classical eigenvalue problem. Subsequently, the initial formulation is extended to avoid interference of the crack interfaces with a time domain formulation. The Lagrange multipliers, used to enforce the exact continuity constraints when the crack is closed, produce the interfaces forces needed for the modelling of interface dry friction.

引用

页码：370 / 377

页数：8

共 23 条

[1]

Christides S., Barr A.D.S., One-Dimensional Theory of Cracked Bernoulli-Euler Beams, International Journal of Mechanical Sciences, 26, 11-12, pp. 639-648, (1984)

[2]

Cawley P., Adams R.D., The Location of Defects in Structures from Measurements of Natural Frequencies, Journal of Strain Analysis, 14, 2, pp. 49-57, (1979)

[3]

Changhe L., Bernasconi O., Xenophontidis N., A Generalized Approach of the Dynamics of Cracked Structures, ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, pp. 257-263, (1989)

[4]

Comninou M., Schmueser D., The Interface Crack in a Combined Tension-Compression and Shear Field, ASME, Journal of Applied Mechanics, 46, pp. 345-348, (1979)

[5]

Comninou M., Dundurs J., On the Behavior of Interface Cracks, Res Mechanica, 1, pp. 249-264, (1980)

[6]

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)

[7]

Dimarogonas A.D., Paipetis S.A., Analytical Methods in Rotor Dynamics, (1983)

[8]

Dimarogonas A.D., Papadopoulos C.A., Vibration of Cracked Shafts in Bending, Journal of Sound and Vibration, 91, 4, pp. 583-593, (1983)

[9]

D'Souza A.F., Garg V.K., Advanced Dynamics Modelling and Analysis, (1984)

[10]

Gudmundson P., The Dynamic Behavior of Slender Structures with Cross Sectional Cracks, Journal of Mechanics and Physics of Solids, 31, 4, pp. 329-345, (1983)

← 1 2 3 →