Perturbatıon Solution for a Cracked Euler-Bernoulli Beam

The natural frequencies and mode shapes of an Euler-Bernoulli beam with a rectangular cross- section, which has a surface crack, is investigated. The crack is modeled as a change (sudden or gradual) in the cross-section of the beam, and a modified perturbation approach is used assuming that the crack geometry is much smaller than the beam cross section. Computations of natural frequencies and mode shapes were carried out for various crack shapes and compared with a range of experiments and finite element analyses. It is concluded that the suggested modified perturbation approach gives reliable results with minimal effort for eigenfrequencies of cracked beams. Furthermore, as a new feature, the present perturbation method includes the shape of the crack in eigenfrequency computations and in principle, can work for any type of disturbance on the surface including a small bump for example.

Keywords:

Perturbation, Surface Crack Euler-Bernoulli Beam,

Tam Metin

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Bibtex	@araştırma makalesi { saufenbilder1170458, journal = {Sakarya University Journal of Science}, eissn = {2147-835X}, address = {}, publisher = {Sakarya Üniversitesi}, year = {2022}, volume = {26}, number = {6}, pages = {1233 - 1243}, doi = {10.16984/saufenbilder.1170458}, title = {Perturbatıon Solution for a Cracked Euler-Bernoulli Beam}, key = {cite}, author = {Sakman, Lütfi Emir} }
APA	Sakman, L. E. (2022). Perturbatıon Solution for a Cracked Euler-Bernoulli Beam . Sakarya University Journal of Science , 26 (6) , 1233-1243 . DOI: 10.16984/saufenbilder.1170458
MLA	Sakman, L. E. "Perturbatıon Solution for a Cracked Euler-Bernoulli Beam" . Sakarya University Journal of Science 26 (2022 ): 1233-1243 <
Chicago	Sakman, L. E. "Perturbatıon Solution for a Cracked Euler-Bernoulli Beam". Sakarya University Journal of Science 26 (2022 ): 1233-1243
RIS	TY - JOUR T1 - Perturbatıon Solution for a Cracked Euler-Bernoulli Beam AU - Lütfi EmirSakman Y1 - 2022 PY - 2022 N1 - doi: 10.16984/saufenbilder.1170458 DO - 10.16984/saufenbilder.1170458 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1233 EP - 1243 VL - 26 IS - 6 SN - -2147-835X M3 - doi: 10.16984/saufenbilder.1170458 UR - Y2 - 2022 ER -
EndNote	%0 Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi Perturbatıon Solution for a Cracked Euler-Bernoulli Beam %A Lütfi Emir Sakman %T Perturbatıon Solution for a Cracked Euler-Bernoulli Beam %D 2022 %J Sakarya University Journal of Science %P -2147-835X %V 26 %N 6 %R doi: 10.16984/saufenbilder.1170458 %U 10.16984/saufenbilder.1170458
ISNAD	Sakman, Lütfi Emir . "Perturbatıon Solution for a Cracked Euler-Bernoulli Beam". Sakarya University Journal of Science 26 / 6 (Aralık 2022): 1233-1243 .
AMA	Sakman L. E. Perturbatıon Solution for a Cracked Euler-Bernoulli Beam. SAUJS. 2022; 26(6): 1233-1243.
Vancouver	Sakman L. E. Perturbatıon Solution for a Cracked Euler-Bernoulli Beam. Sakarya University Journal of Science. 2022; 26(6): 1233-1243.
IEEE	L. E. Sakman , "Perturbatıon Solution for a Cracked Euler-Bernoulli Beam", , c. 26, sayı. 6, ss. 1233-1243, Ara. 2022, doi:10.16984/saufenbilder.1170458