Skip to main content

Study of Vibrations of a Cantilever Beam with Uniformly Distributed Mass

  • Conference paper
  • First Online:
Proceedings of SYROM 2022 & ROBOTICS 2022 (IISSMM 2022)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 127))

  • 225 Accesses

Abstract

The paper presents the study by finite element analysis and by two experimental methods of the vibrations of a cantilever beam. The beam is made of homogenous material and has constant cross-section. The fundamental period of flexural vibrations is first calculated from analytical relation. The beam is modelled in CATIA and by Finite element analysis, the first ten frequencies of vibrations are obtained. The numerical and theoretical results are in good agreement. The experimental tests were performed via two methods: first, the oscillatory motion is video-recorded and the image is processed to obtain the period of vibration; second, a small acceleration sensor is attached to the free end of the beam and it provides a signal with the same period as the vibration of the system.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Blevins, R.D.: Formulas for Dynamics. Wiley, Acoustics and Vibration (2016)

    Google Scholar 

  2. Buzdugan, G.: Strength of Materials, (in Romanian: Rezistenta materialelor) Ed. Tehnica (1980)

    Google Scholar 

  3. Cveticanin, L.: Strongly Nonlinear Oscillators-Analytical Solutions. Springer (2014)

    Google Scholar 

  4. Jazar, R.N.: Advanced Vibrations-A Modern Approach. Springer (2013)

    Google Scholar 

  5. Lalanne, C.: Mechanical Vibration and Shock Analysis, Vol. I, Sinusoidal Vibration, 2nd ed. Wiley (2009)

    Google Scholar 

  6. Nagle, R., Saff, E., Snider, A.: Fundamentals of Differential Equations, 9th ed. Pearson (2017)

    Google Scholar 

  7. Rades, M.: Mechanical Vibrations (in Romanian: Vibratii mecanice) Printech (2008)

    Google Scholar 

  8. Sinclair, I.R.: Sensors and Transducers, 3rd ed. Elsevier (2001)

    Google Scholar 

  9. Vance, J., Zeidan, F., Murphy, B.: Machinery Vibration and Rotor Dynamics. Wiley (2010)

    Google Scholar 

  10. Zamani, N.: CATIA FEA Tutorials, Release 17. SDC Publications (2018)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. Bujoreanu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Alaci, S., Ciornei, FC., Romanu, IC., Velniciuc, AM., Bujoreanu, C. (2023). Study of Vibrations of a Cantilever Beam with Uniformly Distributed Mass. In: Doroftei, I., Nitulescu, M., Pisla, D., Lovasz, EC. (eds) Proceedings of SYROM 2022 & ROBOTICS 2022. IISSMM 2022. Mechanisms and Machine Science, vol 127. Springer, Cham. https://doi.org/10.1007/978-3-031-25655-4_11

Download citation

Publish with us

Policies and ethics