Dynamic stiffness – based free vibration study of open circular cylindrical shells
Abstract
In this paper, the dynamic stiffness method has been applied in the free vibration analysis of open circular cylindrical shells based on Flügge thin shell theory. The dynamic stiffness matrix for a completely free open cylindrical shell element has been derived and coded in MATLAB to compute the natural frequencies and mode shapes. The results of the numerical study have been compared with the results from the finite element analysis, as well as with the results from the literature. After a detailed convergence study, considering the number of terms in the proposed solution, applied boundary conditions and geometry, limitations and recommendations for application of the proposed method have been given.
Keywords:
free vibration / dynamic stiffness matrix / Flügge thin shell theorySource:
Journal of Sound and Vibration, 2020, 486Publisher:
- Elsevier
Funding / projects:
DOI: 10.1016/j.jsv.2020.115600
ISSN: 0022-460X
WoS: 000576699900005
Scopus: 2-s2.0-85089092127
Institution/Community
GraFarTY - JOUR AU - Kolarević, Nevenka AU - Nefovska-Danilović, Marija PY - 2020 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2054 AB - In this paper, the dynamic stiffness method has been applied in the free vibration analysis of open circular cylindrical shells based on Flügge thin shell theory. The dynamic stiffness matrix for a completely free open cylindrical shell element has been derived and coded in MATLAB to compute the natural frequencies and mode shapes. The results of the numerical study have been compared with the results from the finite element analysis, as well as with the results from the literature. After a detailed convergence study, considering the number of terms in the proposed solution, applied boundary conditions and geometry, limitations and recommendations for application of the proposed method have been given. PB - Elsevier T2 - Journal of Sound and Vibration T1 - Dynamic stiffness – based free vibration study of open circular cylindrical shells VL - 486 DO - 10.1016/j.jsv.2020.115600 ER -
@article{ author = "Kolarević, Nevenka and Nefovska-Danilović, Marija", year = "2020", abstract = "In this paper, the dynamic stiffness method has been applied in the free vibration analysis of open circular cylindrical shells based on Flügge thin shell theory. The dynamic stiffness matrix for a completely free open cylindrical shell element has been derived and coded in MATLAB to compute the natural frequencies and mode shapes. The results of the numerical study have been compared with the results from the finite element analysis, as well as with the results from the literature. After a detailed convergence study, considering the number of terms in the proposed solution, applied boundary conditions and geometry, limitations and recommendations for application of the proposed method have been given.", publisher = "Elsevier", journal = "Journal of Sound and Vibration", title = "Dynamic stiffness – based free vibration study of open circular cylindrical shells", volume = "486", doi = "10.1016/j.jsv.2020.115600" }
Kolarević, N.,& Nefovska-Danilović, M.. (2020). Dynamic stiffness – based free vibration study of open circular cylindrical shells. in Journal of Sound and Vibration Elsevier., 486. https://doi.org/10.1016/j.jsv.2020.115600
Kolarević N, Nefovska-Danilović M. Dynamic stiffness – based free vibration study of open circular cylindrical shells. in Journal of Sound and Vibration. 2020;486. doi:10.1016/j.jsv.2020.115600 .
Kolarević, Nevenka, Nefovska-Danilović, Marija, "Dynamic stiffness – based free vibration study of open circular cylindrical shells" in Journal of Sound and Vibration, 486 (2020), https://doi.org/10.1016/j.jsv.2020.115600 . .