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Lecture 211: Modal Analysis (15)
jonathan-314

Are the ziz_i and wi±w_i^\pm supposed to depend on gig_i or not?

daniel-man

@jonathan-314 I believe that, for a non-zero g_i value, this would be a non-homogeneous differential equation, whose solution would comprise of the sum of the solution to the complementary equation and the particular solution. The particular solution would be dependent on g_i, so the resulting solution z_i should also be dependent on g_i.

LeslieTrue

Yeah, the explanation above is quite concrete. In a more intuitive way, you can regard gig_i as a constant external force(though it's already divided by the mass). Obviously, the whole system would be affected by the force since Newton's 2nd law.

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