Non-Linear Dynamic Stability of Shallow Reticulated Spherical Shells

Ming Jun Han; You Tang Li; Ping Qiu; Xin Zhi Wang

doi:10.4028/www.scientific.net/AMM.142.107

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 142Non-Linear Dynamic Stability of Shallow...

Non-Linear Dynamic Stability of Shallow Reticulated Spherical Shells

Abstract:

The nonlinear dynamical equations are established by using the method of quasi-shells for three-dimensional shallow spherical shells with circular bottom. Displacement mode that meets the boundary conditions of fixed edges is given by using the method of the separate variable, A nonlinear forced vibration equation containing the second and the third order is derived by using the method of Galerkin. The stability of the equilibrium point is studied by using the Floquet exponent.

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Periodical:

Applied Mechanics and Materials (Volume 142)

Pages:

107-110

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.142.107

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Online since:

November 2011

Authors:

Ming Jun Han, You Tang Li, Ping Qiu, Xin Zhi Wang

Keywords:

Method of Quasi-Shells, Nonlinear, Reticulated Shells, Stability

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References

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DOI: 10.1007/bf02454118

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