4. Suppose you have a two-degree-of-freedom structure with known masses m and 3m, associated with displacements x₁ and x2 respectively, and experimentally identified mode shapes u₁ = [11] and u₂ = [-3 1]" (not normalized), modal frequencies w₁² = k/m and w₂² = 4 k/m, and modal damping factors C₁=0.1 and ₂ = 0.05. Find the M, C, and K matrices. Assume the system is symmetric.
4. Suppose you have a two-degree-of-freedom structure with known masses m and 3m, associated with displacements x₁ and x2 respectively, and experimentally identified mode shapes u₁ = [11] and u₂ = [-3 1]" (not normalized), modal frequencies w₁² = k/m and w₂² = 4 k/m, and modal damping factors C₁=0.1 and ₂ = 0.05. Find the M, C, and K matrices. Assume the system is symmetric.
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![4. Suppose you have a two-degree-of-freedom structure with known masses m and 3m,
associated with displacements x₁ and x2 respectively, and experimentally identified mode
shapes u₁ = [11] and u₂ = [-3 1]" (not normalized), modal frequencies w₁² = k/m and w₂² = 4
k/m, and modal damping factors C₁=0.1 and ₂ = 0.05. Find the M, C, and K matrices. Assume
the system is symmetric.](https://content.bartleby.com/qna-images/question/fcfd078e-da90-4c7c-ade0-1a4ade7eeb40/ef90ec25-87a5-4d32-b539-59ee67933046/r5trko6n_processed.png)
Transcribed Image Text:4. Suppose you have a two-degree-of-freedom structure with known masses m and 3m,
associated with displacements x₁ and x2 respectively, and experimentally identified mode
shapes u₁ = [11] and u₂ = [-3 1]" (not normalized), modal frequencies w₁² = k/m and w₂² = 4
k/m, and modal damping factors C₁=0.1 and ₂ = 0.05. Find the M, C, and K matrices. Assume
the system is symmetric.
