An approximate method of response analysis of vibrations for cracked beams

Applied Mathematics and Mechanics (English Edition)

Volumn 18, Issue 3, 1997, Pages 221-228

  Mengcheng, Chen ^a   Renji, Tang ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Cracked beam; Line spring model; Response of natural frequency

Indexed keywords

CRACKS; EIGENVALUES AND EIGENFUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; VIBRATIONS (MECHANICAL);

CRACKED BEAM; LINE SPRING MODEL; NATURAL FREQUENCY RESPONSE;

BEAMS AND GIRDERS;

EID: 0031098542     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02453364     Document Type: Article

References (8)

1. I. G. Chondros and A. D. Dimarogonas, Identification of cracks in welded joints of complex structures, J. Sound & Vib., 69 (1980), 531-538.
2. Y. P. Shen, and Z. Q. Tang. The effects of cracks on the spectra of cantilever beam, Acta, Mechanica Solida Sinica. 3 (1982), 247-251. (in Chinese)
3. P. F. Rizos, N. Aspragathos and A. D. Dimarogonas, .Identification of crack location and magnitude in a cantilever beam from the vibration mode, J. Sound & Vib., 138 (1990), 381-388.
4. G. E. Nash, Bending deflections and moments in notched beam, Engng. Fract. Mech., 3 (1971), 139-150.
5. P. Gudmundson, Eigenfrequency changes of structures due to cracks, notches or other geometrical changes, J. Mech. Phys. Solids, 30 (1982), 339-353.
6. J. R. Rice and N. Levy, The part-through surface crack in an elastic plate, J. Appl. Mech., 39 (1972), 185-194.
7. H. Tada, P. C. Paris and G. R. Irwin, The Stress Analysis of Crack Handbook, Del Research Corp., Hellerton. PA (1973).
8. T. M. Tharp , A finite element for edge-crack beam columns, Int. J. J. Numer. Methods Engng., 24 (1987), 1941-1950.