Skip to main content
SpringerLink
Log in

Influence of Contact Area of Additional Elements on Frequency Spectrum Splitting in Cylindrical Shells

  • Conference paper
  • First Online:
Proceedings of the 4th International Conference on Industrial Engineering (ICIE 2018)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Included in the following conference series:

Abstract

Thin circular cylindrical shells are widely applied in various industries. Sometimes, due to structural, operational, and strength requirements, special patches are attached to the shell construction in designs of aviation, rocket, and space technology. The article examines the influence of flush contact area of the added mass on basic frequencies and flexural modes of a thin circular cylindrical shell. The spectrum when the mass added to a shell could be considered lumped mass is identified. It is demonstrated that resizing additional element contact area significantly influences base frequencies. The reduction of a contact area of the added mass results in a noticeable drop of the lower splitting basic frequencies of shell oscillation. A drop in high frequency, possibly substantial, is associated with the extended contact area. A nonlinear relationship between a contact area of the added mass and basic frequency of shell–weight system is defined. Oscillation modes bear a resemblance to conjugate flexural sinusoidal and cosinusoidal forms; however, more complex (ambiguous) oscillatory modes are distinguished at supreme oscillation frequencies. A fundamental dependence of shell geometric characteristics bearing the added lumped mass on lower splitting basic frequencies is calculated.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Seregin SV (2014) Investigation of dynamic characteristics of shells with holes and added mass. Vestnik MGSU 4:52–58. https://doi.org/10.22227/1997-0935.2014.4.52-58

    Article  Google Scholar 

  2. Seregin SV (2014) The influence of the attached body at the frequencies and forms of free vibrations of cylindrical shells. Constr Mech Calculation Struct 3:35–39

    Google Scholar 

  3. Seregin SV (2014) Influence of contact area and value of the linearly distributed and concentrated mass with a circular cylindrical shell on the frequency and form of free vibrations. Vestnik MGSU 7:64–74. https://doi.org/10.22227/1997-0935.2014.7.64-74

    Article  Google Scholar 

  4. Seregin SV (2014) Free Flexural radial vibrations of a thin circular cylindrical shell bearing added mass. Vestnik MGSU 11:74–81. https://doi.org/10.22227/1997-0935.2014.11.74-81

    Article  Google Scholar 

  5. Seregin SV, Kozin VM (2017) Influence of attached body on the frequency and modes free vibrations cylindrical shells influence of attached body on the frequency and modes free vibrations cylindrical shells. Proc Eng 206:74–79. https://doi.org/10.1016/j.proeng.2017.10.440

    Article  Google Scholar 

  6. Seregin SV (2014) Numerical and analytical study of free vibrations of circular cylindrical shells carrying an attached mass linearly distributed along generatrix. Comput Continuum Mech 7(4):378–384. https://doi.org/10.7242/1999-6691/2014.7.4.36

    Article  Google Scholar 

  7. Seregin SV (2015) About the effect of the splitting of the Flexural frequency spectrum of thin circular cylindrical shells carrying an attached mass. Constr Mech Calculation Struct 6(257):59–61

    Google Scholar 

  8. Seregin SV, leizerovich GS (2015) Influence of attached masses on the dynamic characteristics of thin shell. Prob Mech Eng Autom 4:83–89

    Google Scholar 

  9. Seregin SV, Kosmynin AV (2017) Influence an additional inclusion on dynamic performance of machine. Peer review under responsibility of the organizing committee of the international conference on Dynamics and Vibroacoustics of Machines (DVM2016). Proc Eng 176:381–386. https://doi.org/10.1016/j.proeng.2017.02.335

    Article  Google Scholar 

  10. Leizerovich GS, Seregin SV (2016) Free vibrations of circular cylindrical shells with attached small concentrated mass. J Appl Mech Tech Phys 57(5):90–96. https://doi.org/10.15372/PMTF20160510

    Article  MathSciNet  MATH  Google Scholar 

  11. Leizerovich GS, Seregin SV (2016) Free vibrations of circular cylindrical shells with a small added concentrated mass. J Appl Mech Tech Phys 57(5):841–846. https://doi.org/10.1134/S0021894416050102

    Article  MathSciNet  MATH  Google Scholar 

  12. Seregin SV (2017) Qualitative effects of the fluctuations of annular reinforcing elements with an attached mass as a special case of an infinitely long thin circular cylindrical shell. Proc High Edu Inst Eng 1(682):31–43. https://doi.org/10.18698/0536-1044-2017-1-31-43

    Article  Google Scholar 

  13. Seregin SV (2016) Dynamics of thin cylindrical shells with added mass. Komsomolsk-on-Amur, KnAGTU, p 175

    Google Scholar 

  14. Seregin SV (2016) Influence of asymmetric initial imperfection shape on the free vibrations of thin shells. Vestnik of Samara University. Aerosp Eng Technol Eng 15(3):209–222. https://doi.org/10.18287/2541-7533-2016-15-3-209-222

    Article  MathSciNet  Google Scholar 

  15. Seregin SV (2017) The influence of shape imperfections on the vibrations of a ring resonator wave solid-state gyroscope. Nonlinear Dyn 13(3):423–431. https://doi.org/10.20537/nd1703009

    Article  MATH  Google Scholar 

  16. Seregin SV (2017) The influence of shape imperfections on the vibrations of a ring resonator of a wave solid-state gyroscope. Nelineinaya Dinamika 13(3):423–431. https://doi.org/10.20537/nd1703009

    Article  MathSciNet  MATH  Google Scholar 

  17. Seregin SV (2017) Features of splitting the frequency spectrum of the wave solid-state gyroscope, for example, the isolated imperfect ring. Nauchno-tekhnicheskie Vedomosti SPBGPU. Phys-Math Sci 10(3):116–122. https://doi.org/10.18721/JPM.10311

    Article  Google Scholar 

  18. Seregin SV (2017) The splitting features of a frequency spectrum of a gyroscope based on elastic waves in solids: an isolated imperfect ring as an example. St. Petersburg Polytechnical State Univ J Phys Math 3(3):255–258. https://doi.org/10.1016/j.spjpm.2017.09.004

    Article  Google Scholar 

  19. Seregin SV (2015) Free vibrations of thin circular cylindrical shell weakened by a hole. News of higher educational institutions. Aviat Equip 3:9–13

    Google Scholar 

  20. Seregin SV (2015) Free vibrations of a thin circular cylindrical shell weakened by a hole. Russ Aeronaut 58(3):258–262. https://doi.org/10.3103/S1068799815030022

    Article  MathSciNet  Google Scholar 

  21. Leizerovich GS, Prikhod’ko NB, Seregin SV (2013) Effect of small added masses on vibrations of a circular ring variable thickness. Constr Reconstr 4:38–41

    Google Scholar 

  22. Leizerovich GS, Prikhod’ko NB, Seregin SV (2013) Effect of small attached mass on splitting the frequency spectrum of circular rings with initial imperfections. Constr Mech Calculation Struct 6:49–51

    Google Scholar 

  23. Seregin SV (2017) Influence of small added mass on the splitting flexural frequency spectrum of circular ring with initial imperfection of shape. Proc Eng 206:50–55. https://doi.org/10.1016/j.proeng.2017.10.436

    Article  Google Scholar 

  24. Seregin SV, Leizerovich GS (2014) Free vibrations of an infinitely long circular cylindrical shell with initial imperfections and little added mass. Scientific Notes of Komsomolsk-on-Amur State Technical University 1, 4(20):36–43

    Google Scholar 

Download references

Acknowledgements

The research was carried out at the expense of a grant from the Russian Science Foundation (project No. 18-79-00057).

Author information

Authors and Affiliations

  1. Komsomolsk-na-Amure State University, 27, Lenin Avenue, Komsomolsk-na-Amure, 681000, Russia

    S. V. Seregin

Authors
  1. S. V. Seregin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. V. Seregin .

Editor information

Editors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    Andrey A. Radionov

  2. Platov South-Russian State Polytechnic University, Novocherkassk, Russia

    Oleg A. Kravchenko

  3. South Ural State University, Chelyabinsk, Russia

    Victor I. Guzeev

  4. South Ural State University, Chelyabinsk, Russia

    Yurij V. Rozhdestvenskiy

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Seregin, S.V. (2019). Influence of Contact Area of Additional Elements on Frequency Spectrum Splitting in Cylindrical Shells. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 4th International Conference on Industrial Engineering. ICIE 2018. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-95630-5_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-95630-5_28

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95629-9

  • Online ISBN: 978-3-319-95630-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation