| Abstract: | An efficient two stage condensation procedure for the free vibration characteristics of framed tube buildings is presented. In stage 1, the number of d.o.f. is reduced through constraining for which parabolic shape functions are used. In stage 2, the constraints are gradually relaxed using a Gauss—Seidel iterative technique. The procedure is general and can be used for framed tube buildings having any range of member properties and any mass distribution. The method yields accurate results and requires only a fraction of the CPU time and storage locations needed in the standard method. It can be employed to solve frame tube buildings problems of any practical size on microcomputers as well. |
