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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
Posted: Wed May 04, 2022 1:11 pm
by answerhappygod
- 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 34 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.