Nonlinear Free Vibration of a Double-Deck Reticulated Shallow Spherical Shell
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.
Y. Li and J. C. Xu, "Nonlinear Free Vibration of a Double-Deck Reticulated Shallow Spherical Shell", Applied Mechanics and Materials, Vols. 94-96, pp. 350-357, 2011