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Structural Engineering and Mechanics Volume 85, Number 4, February25 2023 , pages 545-562 DOI: https://doi.org/10.12989/sem.2023.85.4.545 |
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Superharmonic and subharmonic vibration resonances of rotating stiffened FGM truncated conical shells |
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Hamid Aris and Habib Ahmadi
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| Abstract | ||
| In this work, superharmonic and subharmonic resonance of rotating stiffened FGM truncated conical shells exposed to harmonic excitation in a thermal environment is investigated. Utilizing classical shell theory considering Coriolis acceleration and the centrifugal force, the governing equations are extracted. Non-linear model is formulated employing the von Kármán non-linear relations. In this study, to model the stiffener effects the smeared stiffened technique is utilized. The non-linear partial differential equations are discretized into non-linear ordinary differential equations by applying Galerkin's method. The method of multiple scales is utilized to examine the non-linear superharmonic and subharmonic resonances behavior of the conical shells. In this regard, the effects of the rotating speed of the shell on the frequency response plot are investigated. Also, the effects of different semi-vertex angles, force amplitude, volume-fraction index, and temperature variations on the frequencyresponse graph are examined for different rotating speeds of the stiffened FGM truncated conical shells. | ||
| Key Words | ||
| non-linear vibration; rotating shells; semi-analytical method; stiffened truncated conical shell; superharmonic and subharmonic resonance | ||
| Address | ||
| Hamid Aris and Habib Ahmadi: Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran | ||