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- Mode shapes Φ n, and their corresponding frequencies ω n, are obtained through solution of the following eigenvalue problem:
- Modal damping ratioratios ξ n are typically assumed from empirical data.
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- Total structural response is then generated by solving each uncoupled modal equation and superposing their displacementdisplacements. It is advantageous to characterize dynamic response in terms of the displacement time-history vector, v ( t ), because local forces and stresses may then be evaluated directly.
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