Question

QUESTION 2

  1. Consider an electrical motor with mass M = 901.8129 kg located at the middle of pinned-pinned beam, as shown in the figure below. Assume that the Young’s modulus of the beam E = 8.5470x1010 Pa, moment of inertia I = 8.3375x104 mm4 , length of the beam L = 0.2859 m and zero initial conditions. If there is an unbalance mass of m0 = 2.3714 kg in the rotating part of the motor, eccentricity is e = 4.1473 mm, and the rotor is rotating with speed of ω = 2.2892x104 rpm, determine the amplitude response of point A in 0.3 s. Assume there is no damping in the system i.e. ζ = 0 and neglect the mass of the beam. Note: Equivalent stiffness of the beam at point A is  keq = 48EI/L3.

    Fig Q2

    a.

    0.2162 mm

    b.

    -0.6485 mm

    c.

    -0.1013 mm

    d.

    0.3040 mm

    e.

    -0.2027 mmmo Total mass M- wt E,1,L

0 0
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Answer #1

M-901.8129 kg E - 8.547x100 pa -0.9859 m - 0 mo. 2.9714 kg -8-3375 x 104 mm = 4.1473 mm keq e 48E1 -9.999218 pm 89315 * m 0.3

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