AER 403 Lecture 15: AER 403 W15
3 Jan 2018
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Static balancing can be done statically: roll the thin plate. When it stops, the lowest point is where the: add a balance mass in the opposite direction, and roll it again. )f it: )f the thin plate stops at the position of the balance mass reduce the stops at the same place, add more balance mass, till it stops at a different place. balance mass. The equation for imbalance induced vibration md2x/dt2 + c dx/dt + kx. Md(cid:884)x/dt(cid:884) + c dx/dt + kx = me (cid:884)sin t-m(cid:883)e(cid:883) (cid:884)sin(cid:523)(cid:883)8(cid:882)+ t(cid:524) Hence: md2x/dt2 + c dx/dt + kx = 0 no external excitation. Course outline: forced harmonic vibration, rotating unbalance, rotor balancing, static balancing, dynamic balancing. Static unbalance can also be balanced by dynamic balancing- spinning the (single plane) disk. Step 1: spinning the disk to identify the amplitude xo (max displacement). Step 2: add a balance mass m1 and measure the new amplitude (x1).
