m3, J3 L K3 m₂ m₁ Yo 2 k₁=7x10³ N/m, k₂= 7.5x105 N/m, k3= k₁=3x10³ N/m, ks = 5x10* N/m, m₁ = m₂ = 20 kg, m₂ = 250 kg, m4

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M3 J3 L K3 M M Yo 2 K 7x10 N M K 7 5x105 N M K3 K 3x10 N M Ks 5x10 N M M M 20 Kg M 250 Kg M4 1 (96.8 KiB) Viewed 45 times

m3, J3 L K3 m₂ m₁ Yo 2 k₁=7x10³ N/m, k₂= 7.5x105 N/m, k3= k₁=3x10³ N/m, ks = 5x10* N/m, m₁ = m₂ = 20 kg, m₂ = 250 kg, m4 = 80 kg, J3=190 kg.m², L=0.75 m, λ=6m, Y₁ =3 cm, v = 110 km/h A simplified model of the caster body-seat system of a vehicle moving in a sinusoidal path is shown in the figure. a) Obtain the differential equations for the small amplitude vibrations of the system. b) Determine the mass and stiffness matrices of the system. c) Using the given numerical values, find the natural frequencies and mode shapes of the system and the forced vibration amplitudes. Attach the paper printout of the program you used for your solution to your homework.