Please use this identifier to cite or link to this item: http://hdl.handle.net/11189/6319
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

Files in This Item:
File Description SizeFormat 
Free Vibration of Paraboloidal dome.pdfConference Proceeding1.27 MBAdobe PDFView/Open
Show full item record

Page view(s)

30
checked on Feb 9, 2021

Download(s)

38
checked on Feb 9, 2021

Google ScholarTM

Check

Altmetric


This item is licensed under a Creative Commons License Creative Commons