Consider the electrical motor represented in the picture. The motor has an eccentricity me=0.1 Kg.m Fins-...

  

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Consider the electrical motor represented in the picture. The motor has an eccentricity me=0.1 Kg.m Fins- and a total mass M=10 Kg. The motor is mounted on a foundation having an equivalent horizontal stiffness k = 40 kN/m and a damping coefficient c=1000NS/m. The motor rotates at a frequency ranging from 100 rpm up to 1000 rpm. Aluminum cooling fins of rectangular cross section 1 x 5 mm? and length L= 10 mm are mounted on the motor separated by a Motor with rotating unbalance distance d. The fins are modeled as beams cantilevered on the motor. The air between the fins generates a damping coefficient cair = 1000 N/m on the tip of the fins. When the motor vibrates horizontally, find the minimum distance d between the fins so they won't touch each other while the motor is operating in his normal frequency range. Restrain your study to the steady state response. Assume that each two consecutive fins are oscillating out of phase. Consider the electrical motor represented in the picture. The motor has an eccentricity me=0.1 Kg.m Fins- and a total mass M=10 Kg. The motor is mounted on a foundation having an equivalent horizontal stiffness k = 40 kN/m and a damping coefficient c=1000NS/m. The motor rotates at a frequency ranging from 100 rpm up to 1000 rpm. Aluminum cooling fins of rectangular cross section 1 x 5 mm? and length L= 10 mm are mounted on the motor separated by a Motor with rotating unbalance distance d. The fins are modeled as beams cantilevered on the motor. The air between the fins generates a damping coefficient cair = 1000 N/m on the tip of the fins. When the motor vibrates horizontally, find the minimum distance d between the fins so they won't touch each other while the motor is operating in his normal frequency range. Restrain your study to the steady state response. Assume that each two consecutive fins are oscillating out of phase.

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