Continuous Model for the Transverse Vibration of Cracked Timoshenko Beams

Sergio H. S. Carneiro; Daniel J. Inman

doi:10.1115/1.1452744

Journal of Vibration and Acoustics | Volume 124 | Issue 2 | TECHNICAL PAPERS

< Previous Article Next Article >

TECHNICAL PAPERS

Continuous Model for the Transverse Vibration of Cracked Timoshenko Beams

Sergio H. S. Carneiro and Daniel J. Inman

[+] Author and Article Information

Sergio H. S. Carneiro

Instituto de Aeronáutica e Espaço, Centro Técnico Aeroespacial, CTA/IAE/ASA, S. J. Campos-SP 12228, Brazil

Daniel J. Inman

Center for Intelligent Material Systems and Structures, Virginia Polytechnic Institute and State University, 310 NEB, mail code 0261, Blacksburg, VA 24061

J. Vib. Acoust 124(2), 310-320 (Mar 26, 2002) (11 pages) doi:10.1115/1.1452744 History: Received August 01, 2000; Revised October 01, 2001; Online March 26, 2002

Article

References

Figures

Tables

Citing Articles

Purchase this Content

$25.00

Purchase

Learn about subscription and purchase options

Your Session has timed out. Please sign back in to continue.

References

Figures

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Crack depth ratio a/2d=0.1.

View Large | Save Figure | Download Slide (.ppt)

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Curves normalized to the same element length. Crack depth ratio a/2d=0.5.

View Large | Save Figure | Download Slide (.ppt)

Comparison of finite element model and beam theory results for the first three natural frequencies of a simply supported beam with a midspan crack. L/2d=20. FE results from Reference 10.

View Large | Save Figure | Download Slide (.ppt)

Comparison of experimental and beam theory results for the first and third natural frequencies of a simply supported beam with a midspan crack. L/2d=25.64. Experimental results from Reference 9.

View Large | Save Figure | Download Slide (.ppt)

Differences in natural frequencies estimated by Euler and Timoshenko models as a function of aspect ratio for a simply supported beam with a midspan crack

View Large | Save Figure | Download Slide (.ppt)

Variation of normalized natural frequencies of simply supported beams with respect to crack depth. x_c/L=0.5.

View Large | Save Figure | Download Slide (.ppt)

Influence of crack depth on displacement mode shapes of a simply supported Timoshenko cracked beam. x_c/L=0.5.

View Large | Save Figure | Download Slide (.ppt)

Finite element model of a simply supported short beam, with detailed illustration of the mesh at the cracked region. L/2d=5.

View Large | Save Figure | Download Slide (.ppt)

Variations of the normalized values of natural frequencies of a short simply supported beam with a midspan crack. L/2d=5. Left-hand-side plots: values normalized by the undamaged natural frequency from the corresponding model; right-hand-side plots: values normalized by the undamaged natural frequency from the 2-D FE model.

View Large | Save Figure | Download Slide (.ppt)

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Crack depth ratio a/2d=0.5.

View Large | Save Figure | Download Slide (.ppt)

Tables

Errata

Discussions

Web of Science® Times Cited: 27

Some tools below are only available to our subscribers or users with an online account.

PDF
Email

You must be logged in as an individual user to share content.

Return to: Continuous Model for the Transverse Vibration of Cracked Timoshenko Beams

Copyright in the material you requested is held by the American Society of Mechanical Engineers (unless otherwise noted). This email ability is provided as a courtesy, and by using it you agree that you are requesting the material solely for personal, non-commercial use, and that it is subject to the American Society of Mechanical Engineers' Terms of Use. The information provided in order to email this topic will not be used to send unsolicited email, nor will it be furnished to third parties. Please refer to the American Society of Mechanical Engineers' Privacy Policy for further information.
Share
Get Citation

Carneiro SS, Inman DJ. Continuous Model for the Transverse Vibration of Cracked Timoshenko Beams. ASME. J. Vib. Acoust. 2002;124(2):310-320. doi:10.1115/1.1452744.

Download citation file:

RIS (Zotero)

EndNote

BibTex

Medlars

ProCite

RefWorks

Reference Manager

© Copyright
Get Alerts

Processing your request... Please Wait.

Continuous Model for the Transverse Vibration of Cracked Timoshenko Beams

References

Figures

Typical geometry of a cracked beam

Crack function for normal stress disturbance f₁

Crack function for shear stress disturbance f₂

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Crack depth ratio a/2d=0.1.

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Curves normalized to the same element length. Crack depth ratio a/2d=0.5.

Comparison of finite element model and beam theory results for the first three natural frequencies of a simply supported beam with a midspan crack. L/2d=20. FE results from Reference 10.

Comparison of experimental and beam theory results for the first and third natural frequencies of a simply supported beam with a midspan crack. L/2d=25.64. Experimental results from Reference 9.

Differences in natural frequencies estimated by Euler and Timoshenko models as a function of aspect ratio for a simply supported beam with a midspan crack

Variation of normalized natural frequencies of simply supported beams with respect to crack depth. x_c/L=0.5.

Influence of crack depth on displacement mode shapes of a simply supported Timoshenko cracked beam. x_c/L=0.5.

Finite element model of a simply supported short beam, with detailed illustration of the mesh at the cracked region. L/2d=5.

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Crack depth ratio a/2d=0.5.

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

Continuous Model for the Transverse Vibration of Cracked Timoshenko Beams

References

Figures

Typical geometry of a cracked beam

Crack function for normal stress disturbance f1

Crack function for shear stress disturbance f2

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Crack depth ratio a/2d=0.1.

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Curves normalized to the same element length. Crack depth ratio a/2d=0.5.

Comparison of finite element model and beam theory results for the first three natural frequencies of a simply supported beam with a midspan crack. L/2d=20. FE results from Reference 10.

Comparison of experimental and beam theory results for the first and third natural frequencies of a simply supported beam with a midspan crack. L/2d=25.64. Experimental results from Reference 9.

Differences in natural frequencies estimated by Euler and Timoshenko models as a function of aspect ratio for a simply supported beam with a midspan crack

Variation of normalized natural frequencies of simply supported beams with respect to crack depth. xc/L=0.5.

Influence of crack depth on displacement mode shapes of a simply supported Timoshenko cracked beam. xc/L=0.5.

Finite element model of a simply supported short beam, with detailed illustration of the mesh at the cracked region. L/2d=5.

Comparison of convergence characteristics of the Euler and Timoshenko cracked beam models. Crack depth ratio a/2d=0.5.

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

Crack function for normal stress disturbance f₁

Crack function for shear stress disturbance f₂

Variation of normalized natural frequencies of simply supported beams with respect to crack depth. x_c/L=0.5.

Influence of crack depth on displacement mode shapes of a simply supported Timoshenko cracked beam. x_c/L=0.5.