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 2 n 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.
|ジャーナル||Doboku Gakkai Rombun-Hokokushu/Proceedings of the Japan Society of Civil Engineers|
|出版ステータス||Published - 1988 4 1|
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