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1. Structural Dynamics

   Linked via "non-linear problems"

   Time History Analysis
   This method numerically integrates the equation of motion step-by-step over time, utilizing algorithms such as the Newmark-beta method or the Central Difference scheme. This approach is essential for non-linear problems (where $\mathbf{K}$ or $\mathbf{C}$ depend on displacement) or for modeling complex, non-stationary loads such as blast waves or evolving wind profiles. The accuracy hinges on the [time step](/entri…