Abstract

The deformation mechanisms of submerged shell-like lattice marine structures composed of circular arches and membrane are, in principle, of a non-conservative nature as circulatory load system, because the working force is of the follower type, namely hydrostatic pressure. This paper presents the governing equations for the finite deformations of shell-like lattice structures, defined with monoclinic particle coordinates. The governing equations have been developed using the method of disturbed small motions to clarify the stability problem of shell-like lattice structures. Numerical results show that the complex peninsular shaped instability regions are in the excitation force field for arch-lattices under certain loading conditions, and their stability collapses suddenly past a threshold point of dynamic equilibrium, from a heteronomous state to an autonomous state of self-sustained motions. The concept of the existence of an overall dynamic stability threshold for a shell-like lattice underwater structure is presented here.

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