Abstract
Bifurcation behavioral characteristics of a cone-shaped axisymmetric elastic space truss made of n elastic members with n-axes of symmetry are studied. Equilibrium equations of the truss are investigated using cylindrical coordinates to verify the existence of 2n bifurcation paths. The number of paths increases proportionally to the member number n. The equilibrium equations show this increase of bifurcation paths by the vanishing of lower-order terms, resulting in non-vanishing terms with higher-order nonlinearity. The geometric symmetry of the truss results in rotational symmetry of the equilibrium equations and of the bifurcation paths.
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