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.
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References
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
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
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
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
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
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
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
Seregin SV, leizerovich GS (2015) Influence of attached masses on the dynamic characteristics of thin shell. Prob Mech Eng Autom 4:83–89
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
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
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
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
Seregin SV (2016) Dynamics of thin cylindrical shells with added mass. Komsomolsk-on-Amur, KnAGTU, p 175
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
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
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
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
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
Seregin SV (2015) Free vibrations of thin circular cylindrical shell weakened by a hole. News of higher educational institutions. Aviat Equip 3:9–13
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
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
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
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
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
Acknowledgements
The research was carried out at the expense of a grant from the Russian Science Foundation (project No. 18-79-00057).
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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
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