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Title: | Free vibration of paraboloidal dome/shell with arbitrary parabola meridian | Authors: | Sun, BoHua | Keywords: | Paraboloidal Dome/Shell;Arbitrary Parabola Meridian;Mesopotamia | Issue Date: | 2016 | Publisher: | Cape Peninsula University of Technology | Source: | Insights and Innovations in Structural Engineering, Mechanics and Computation - Proceedings of the 6th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2016 | Journal: | Insights and Innovations in Structural Engineering, Mechanics and Computation | Conference: | Insights and Innovations in Structural Engineering, Mechanics and Computation, 6th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2016 |
Abstract: | Dome can be considered as paraboloidal shells of revolution. Free vibration of the paraboloidal shells with arbitrary degree of parabola meridian have been formulated into an eighth-order partial differential equations (PDAs) with variable coefficients. In order to solve the PDAs, we introduce a displacement function U(r, φ) to represent the general solution of the PDAs. The vibration solutions are obtained in terms of series forms, respectively. The numerical simulations for free vibration shows that the spherical shape of dome performers better mechanics behaviors than other shape, this study is useful references for the optimization of the dome design. | URI: | http://hdl.handle.net/11189/6319 | DOI: | http://dx.doi.org/10.1201/9781315641645-140 |
Appears in Collections: | Eng - Conference Proceedings |
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File | Description | Size | Format | |
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Free Vibration of Paraboloidal dome.pdf | Conference Proceeding | 1.27 MB | Adobe PDF | View/Open |
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