000012691 001__ 12691
000012691 005__ 20160920162638.0
000012691 04107 $$aeng
000012691 046__ $$k2016-09-05
000012691 100__ $$aSun, B.
000012691 24500 $$aFree vibration of paraboloidal dome/shell with arbitrary parabola meridian

000012691 24630 $$n6.$$pInsights and Innovations in Structural Engineering, Mechanics and Computation
000012691 260__ $$bTaylor and Francis Group, London, UK
000012691 506__ $$arestricted
000012691 520__ $$2eng$$aDome 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.

000012691 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012691 653__ $$a

000012691 7112_ $$aSixth International Conference on Structural Engineering, Mechanics and Computation$$cCape Town, South Africa$$d2016-09-05 / 2016-09-07$$gSEMC2016
000012691 720__ $$aSun, B.
000012691 8560_ $$ffischerc@itam.cas.cz
000012691 8564_ $$s835293$$uhttp://invenio.itam.cas.cz/record/12691/files/139.pdf$$yOriginal version of the author's contribution as presented on CD, 139.pdf.
000012691 962__ $$r12552
000012691 980__ $$aPAPER