Consider where e, c « 1 and 2 - 1. +2c + (1 + cos 292t) + = 0, 1) Seek a solution in the form = B(t) cos t + D(t) sin St

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Consider Where E C 1 And 2 1 2c 1 Cos 292t 0 1 Seek A Solution In The Form B T Cos T D T Sin St 1 (33.21 KiB) Viewed 32 times

Consider where e, c « 1 and 2 - 1. +2c + (1 + cos 292t) + = 0, 1) Seek a solution in the form = B(t) cos t + D(t) sin St. (2) 2) Upon substitution of (2) into (1), omit small terms involving B, D, cB, and co. 3) Omit the non-resonant terms, i.e. terms involving cos 32t and sin 30t. 4) Collect like terms and solve the resulting set of equations for B(t) and D(t). 5) Using these equations, determine the range of 2 for which parametric resonance occurs in the system.