A two-storey building structure is shown in Figure 5. The beams are assumed as rigid and...

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A two-storey building structure is shown in Figure 5. The beams are assumed as rigid and the flexural rigidity of the columns is given in the figure. a) determine vibration frequency and mode shape of the structure; b) check the orthogonality condition of the derived mode shape; and c) determine the Rayleigh damping matrix of the system with 5% damping for both modes. M=10000 kg 3m 3.0m EI=10,000 kNm M-20000 kg EI=30,000 kNm Figure 5 EI=10,000 kNm EI=30,000 kNm A two-storey building structure is shown in Figure 5. The beams are assumed as rigid and the flexural rigidity of the columns is given in the figure. a) determine vibration frequency and mode shape of the structure; b) check the orthogonality condition of the derived mode shape; and c) determine the Rayleigh damping matrix of the system with 5% damping for both modes. M=10000 kg 3m 3.0m EI=10,000 kNm M-20000 kg EI=30,000 kNm Figure 5 EI=10,000 kNm EI=30,000 kNm