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Question: In the context of nonlinear dynamics, how should one perform a frequency sweep analysis?

Question:In the context of nonlinear dynamics, how should one perform a frequency sweep analysis?

GFY 65 Maple 2022
ode dsolve numeric ivp differential-equations incomplete-question steady-state
April 23 2025
2

I aim to conduct a numerical frequency sweep analysis on a nonlinear, coupled two-degree-of-freedom vibration model and compare the results with the analytical solution. However, I am currently facing two main difficulties:

  1. I am unsure how to determine whether the computed response has reached a steady state. If I simply use the maximum value to represent the steady-state amplitude, it can be misleading—since transient responses prior to reaching steady state may yield a higher peak, as seen in the uploaded code.

  2. I do not know how to properly select the steady-state result from the previous frequency as the initial condition for the next frequency step.
    2.mw
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