A lateral vibration of the helicopter drive system below can be analyzed by a two-DOF system. Answer the following quest

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A Lateral Vibration Of The Helicopter Drive System Below Can Be Analyzed By A Two Dof System Answer The Following Quest 1 (57.15 KiB) Viewed 34 times

A lateral vibration of the helicopter drive system below can be analyzed by a two-DOF system. Answer the following questions. M (x₂) 1(x₂) Gear Engine Oil cooler box 4M Vibration M = 1 kg K-1.2x105 N/m From the engine y-Y sincot (a) Write the equations of motion in terms of M and K. (10 pts) (b) Find the natural frequencies and natural modes. (20 pts) (c) In order to prevent resonance below, a vibration absorber is to be introduced. Derive the equations of motion and write the characteristic equation (A). (20 pts) Resonance Vibration Gear Oil cooler absorber box u Engine 4M M 6K K KA (0)₂ 00₂ (d) Determine the mass(M) and stiffness(K) of the absorber such that (30 pts) ≤0.90, and 21.10, Hint! Should satisfy 0 or 0. КА A(0.90,)=0 1 MA A(1.100,) = 0 (e) By using the results of (d), find the natural frequencies. (20 pts) Hint! Characteristic equation becomes A= (²-0) (a¹ +bo²+c)=0 known X₂/Y 6K M M, known=0.90, or 1.10,