论文信息 - Stability of columns with a single crack subjected to follower and vertical loads

Stability of columns with a single crack subjected to follower and vertical loads

Abstract A general flexibility matrix is developed which expresses the local flexibility of a beam of rectangular cross section with a single edge crack. The dominant term in this matrix is used to study the stability of the cracked column to follower and vertical loads. The kinetic method is used and eigencurves are developed to study the system stability. For follower type loads, the Beck column, stability charts are given for several crack locations and sizes. Flutter type of instability is always encountered. For vertical loads the same type of analysis reveals the divergent type of instability, reported already in the literature. It was found that cracks can make this system have flutter type of instability for vertical loads.

Andrew D. Dimarogonas | N. Anifantis | A. Dimarogonas | N. Anifantis

[1] W. D. Claus,et al. Failure of notched columns , 1968 .

[2] Z. Celep. Stability of a Beam on an Elastic Foundation Subjected to a Nonconservative Load , 1980 .

[3] H. W. Liu,et al. A CRACKED COLUMN UNDER COMPRESSION , 1969 .

[4] V. I. Feodosʹev. Selected Problems and Questions in Strength of Materials , 1977 .

[5] H.H.E. Leipholz. On a variational principle for Beck's rod , 1978 .

[6] Andrew D. Dimarogonas,et al. Torsional vibration of a shaft with a circumferential crack , 1981 .

[7] C.-G. Gustafson. Discussion: "The stress intensity factors for cyclic reversed bending of a single edge cracked strip including crack surface interference," by P. C. Paris and H. Tada , 1976, International Journal of Fracture.

[8] P. C. Paris,et al. Stress Analysis of Cracks , 1965 .

[9] C. Sundararajan,et al. Stability of columns on elastic foundations subjected to conservative and non-conservative forces , 1974 .

[10] T. Chondros,et al. Identification of cracks in welded joints of complex structures , 1980 .

[11] J. Rice,et al. The Part-Through Surface Crack in an Elastic Plate , 1972 .

[12] H. Liebowitz,et al. Carrying capacity of notched columns , 1967 .

[13] W. H. Horton,et al. Determination of the critical loads of shells by nondestructive methods , 1977 .