Skip to main content

Numerical Analysis of Free Vibration of Laminated Thin-Walled Closed-Section Shell Structures

  • Chapter
  • First Online:
Recent Developments in the Theory of Shells

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 110))

  • 562 Accesses

Abstract

The paper presents dynamic analysis of thin-walled laminated elements with two types of a closed-section: circular and rectangular. The studies are carried out using numerical tube and box shaped shell models with arbitrary laminate stacking sequences. Numerical results in a form of natural frequencies and corresponding mode shapes are obtained to investigate the effects of fiber angle change on the vibration of the structure. Moreover, the influence of boundary conditions, internal diaphragms and slenderness of a structure on natural frequencies and mode shapes of selected cases are also analyzed.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

References

  1. Armanios, E., Badir, A.: Free vibration analysis of anisotropic thin-walled closed-section beams. AIAA J. 33(10), 1905–1910 (1995)

    Article  Google Scholar 

  2. Bathe, K.: ADINA: Theory and Modeling Guide Volume I: ADINA Solids & Structures. Watertown: ADINA R&D, Inc (2016)

    Google Scholar 

  3. Dancila, D., Armanios, E.: The influence of coupling on the free vibration of anisotropic thin-walled closed-section beams. Int. J. Solids Struct. 35(23), 3105–3119 (1998)

    Article  Google Scholar 

  4. Lopatin, A., Morozov, E.: Fundamental frequency of a cantilever composite cylindrical shell. Compos. Struct. 119, 638–647 (2015)

    Article  Google Scholar 

  5. Nayfeh, A., Pai, P.: Linear and nonlinear structural mechanics. Wiley, Hoboken (2004)

    Book  Google Scholar 

  6. Quatu, M.S., Sullivan, R.W., Wang, W.: Recent research advances on the dynamic analysis of composite shells: 200-2009. Compos. Struct. 93(1), 14–31 (2010)

    Article  Google Scholar 

  7. Reddy, J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press, Boca Raton (2004)

    Book  Google Scholar 

  8. Vo, T.P., Lee, J.: Free vibration of thin-walled composite box beams. Compos. Struct. 84(1), 11–20 (2007)

    Article  Google Scholar 

  9. Vo, T.P., Lee, J., Ahn, N.: On six fold coupled vibrations of thin-walled composite box beams. Compos. Struct. 89(4), 524–535 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bartosz Miller .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Miller, B., Markiewicz, B., ZiemiaƄski, L. (2019). Numerical Analysis of Free Vibration of Laminated Thin-Walled Closed-Section Shell Structures. In: Altenbach, H., Chróƛcielewski, J., Eremeyev, V., Wiƛniewski, K. (eds) Recent Developments in the Theory of Shells . Advanced Structured Materials, vol 110. Springer, Cham. https://doi.org/10.1007/978-3-030-17747-8_25

Download citation

Publish with us

Policies and ethics