What are the natural frequencies

Assignment Help Mechanical Engineering

Reference no: EM131465197

Question: The composite rotor shown in Figure is supported on bearings that are modeled as linear displacement springs. Assume small motion (pitch and bounce) about tyhe rotor's equilibrium position. System properties are d₁= 6 in., D₃= 2 in., L₁ = 20 in., D₁ = 7.5 in., L₂ = 18 in., D₂ = 10.75 in., d₂= 6 in., k_A = 750,000lb/in., and k_B = 900,000 lb/in. The shaft D₃ goes through the entire body and is amde of steel (ρ_s = 0.283lb/in.³). Disk D₁ is made of steel, and disk D₂ is made from brass (ρ_s = 0.283lb/in.³).

Tasks: (a) Select coordinates, develop the equations of motion for the system, and present them in matrix format.

(b) Obtain the eigenvalues and eigenvectors for the system.

(d) What are the natural frequencies?

Reference no: EM131465197

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