APPLIED MECHANICAL VIBRATION
DESIGN PROJECT-(15%)
201920-MCE 3203-GROUP 7
A CNC machine is been operated near a drilling machine that is in operation. The vibration produced by the drilling machine is given as
Where and . This vibration travels at the shear wave velocity of the soil, which is equal to and the amplitudes is changing according to the relationship, where is the amplitude at the source given as and the distance of the drilling machine to CNC machine which is 40m.
The equivalent mass and stiffness of the CNC machine is and . The equivalent mass of the CNC machine base is 5. To reduce the vibration, an isolator is attached to the base of the CNC machine and ground. The isolator will ensure the CNC machine works smoothly without enduring the impact of the ground vibration from the drilling machine.
Design a vibration isolator which has a suitable mass and spring value for the CNC machine vertical displacement due the ground vibration must not be more than . Show the model you have used, the method of developing the equation of motions and the method of obtaining the proposed isolator specification. Indicate any assumption you have made in the calculation process.