Nonlinear Free Vibration of a Double-Deck Reticulated Shallow Spherical Shell

Abstract:

This paper deals with non-linear free vibration of double-deck reticulated shallow spherical shell by applying the non-linear theory of double-deck reticulated shallow spherical shell established by the author. Model function is supposed to be theory solution of small deflection. The proper equation of double-deck reticulated shallow spherical about time functions with two types of boundary conditions is derived by using Galerkin’s method. At the same time, the analytical expression of ratio of non-linear vibration and linear vibration is deduced and the non-linear effect about amplitude is discussed. Numerical examples are given as well.

• Periodical: Applied Mechanics and Materials (Volumes 94-96)
• Pages: 350-357
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.94-96.350
• Online since: September 2011
• Authors: Yong Li, Jia Chu Xu
• Keywords: Double-Deck Reticulated Shallow Spherical Shell, Equivalent Continuum Method, Galerkin’s Method, Non-Linear Free Vibration

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