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The present paper discusses design of column-type structures, which are composed of columns and lateral braces attached perpendicular to the columns. Buckling of the braces of this kind of structures directly leads to global buckling of the columns. The brace-buckling modes are successfully detected by considering higher-order geometrically non-linear relations and by introducing Green's strain into the total potential energy of the structure. Sensitivity analysis of the eigenvalues of thedoi:10.1142/s0219455404001136 fatcat:i7mu4fjj6fc5nipw6w6exmacam