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https://doi.org/10.31534/engmod.2019.1.ri.01f

Some dilemmas in energy approach to vibration and stability analysis of pressurized and rotating toroidal shells

Ivo Senjanović ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, CROATIA
Neven Alujević ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, CROATIA
Ivan Ćatipović ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, CROATIA
Damjan Čakmak ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, CROATIA
Nikola Vladimir ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, CROATIA
Željan Lozina ; University of Split, Faculty of Electrical and Mechanical Engineering and Naval Architecture, Split, CROATIA

Puni tekst: engleski, pdf (537 KB) str. 59-76 preuzimanja: 96* citiraj
APA 6th Edition
Senjanović, I., Alujević, N., Ćatipović, I., Čakmak, D., Vladimir, N. i Lozina, Ž. (2019). Some dilemmas in energy approach to vibration and stability analysis of pressurized and rotating toroidal shells. International Journal for Engineering Modelling, 32 (1 Regular Issue), 59-76. https://doi.org/10.31534/engmod.2019.1.ri.01f
MLA 8th Edition
Senjanović, Ivo, et al. "Some dilemmas in energy approach to vibration and stability analysis of pressurized and rotating toroidal shells." International Journal for Engineering Modelling, vol. 32, br. 1 Regular Issue, 2019, str. 59-76. https://doi.org/10.31534/engmod.2019.1.ri.01f. Citirano 12.07.2020.
Chicago 17th Edition
Senjanović, Ivo, Neven Alujević, Ivan Ćatipović, Damjan Čakmak, Nikola Vladimir i Željan Lozina. "Some dilemmas in energy approach to vibration and stability analysis of pressurized and rotating toroidal shells." International Journal for Engineering Modelling 32, br. 1 Regular Issue (2019): 59-76. https://doi.org/10.31534/engmod.2019.1.ri.01f
Harvard
Senjanović, I., et al. (2019). 'Some dilemmas in energy approach to vibration and stability analysis of pressurized and rotating toroidal shells', International Journal for Engineering Modelling, 32(1 Regular Issue), str. 59-76. https://doi.org/10.31534/engmod.2019.1.ri.01f
Vancouver
Senjanović I, Alujević N, Ćatipović I, Čakmak D, Vladimir N, Lozina Ž. Some dilemmas in energy approach to vibration and stability analysis of pressurized and rotating toroidal shells. International Journal for Engineering Modelling [Internet]. 2019 [pristupljeno 12.07.2020.];32(1 Regular Issue):59-76. https://doi.org/10.31534/engmod.2019.1.ri.01f
IEEE
I. Senjanović, N. Alujević, I. Ćatipović, D. Čakmak, N. Vladimir i Ž. Lozina, "Some dilemmas in energy approach to vibration and stability analysis of pressurized and rotating toroidal shells", International Journal for Engineering Modelling, vol.32, br. 1 Regular Issue, str. 59-76, 2019. [Online]. https://doi.org/10.31534/engmod.2019.1.ri.01f

Sažetak
In this paper some dilemmas related to the application of the Rayleigh – Ritz method (RRM) in conjunction with the Fourier series for vibration and stability analysis of pressurized and rotating toroidal shells are elucidated. The physical meaning of the strain and kinetic energy terms of different order of displacements in the energy balance equation are explained. Only the second order terms remain in the variation of equation of motion. In the RRM, a symmetric Coriolis mass matrix is obtained as a result of using the energy approach. In FEM, the matrix equation of motion is complex and the Coriolis mass matrix is antisymmetric. It is shown that by transferring the equation of motion from the complex into the real domain, its size is doubled and the total Coriolis matrix becomes symmetric. The influence of using the Green–Lagrange non–linear strains and the engineering strains on vibration and buckling of a toroidal shell is contrasted. It is observed that differences in the dynamic analysis, due to the two different non–linear strain formulations, is quite small. On the contrary, in buckling analysis the engineering strains give considerably higher value of the critical load.

Ključne riječi
toroidal shell; vibration; buckling; energy formulation; geometric stiffness matrix; Coriolis mass matrix

Hrčak ID: 224115

URI
https://hrcak.srce.hr/224115

Posjeta: 182 *