Modal Combinations

Modal Combinations - CE 573 Structural Dynamics Example...

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CE 573: Structural Dynamics Example: Response Spectrum Analysis using Modal Combinations Given: A four story building is modeled using shear frames. The mass and stiffness properties are expressed in terms of kg and N/m; property matrices are given below. Each story is subjected to a rectangular pulse expressed in terms of 3 12 10 m = × 6 4 10 k = × 500 o F = kN. Assume that the pulse lasts for seconds. 0.15 d t = [ ] [ ] 3 3 3 3 6 6 6 6 6 6 6 6 6 6 24 10 2 1.5 18 10 kg; 12 10 12 10 12 10 8 10 3 2 2 4 2 8 10 16 10 8 10 N/m. 2 3 8 10 12 10 4 10 4 10 4 10 m m M m m k k k k k K k k k k k × × = = × × × − × − × × − × = = − × × − × − × × Required: Estimate the maximum response of the top story using the SRSS rule.

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