Math notes/Differential Equations/Second-Order Linear EquationsFrequency Response and RLC Models — Cheat sheetCHEAT SHEET · FREELessonCheat sheet →Unit cheat sheet →Save as PDF ↓Choose “Save as PDF” in the print dialog.On this pageCore ruleWatch forCore ruleX=F0k−mω2+icω.X=\frac{F_0}{k-m\omega^2+ic\omega}.X=k−mω2+icωF0. Watch forThe forcing frequency of the largest displacement amplitude need not equal ωn\omega_nωn. For the standard model a nonzero peak occurs at ωn1−2ζ2\omega_n\sqrt{1-2\zeta^2}ωn1−2ζ2 only when ζ<1/2\zeta<1/\sqrt2ζ<1/2. Undamped resonance needs a separate time-domain solution.← PREVIOUS LESSONVariation of ParametersNEXT UNIT INTRODUCTION →Laplace Transforms
Mr. Integral