To design a suitable vibration absorber for the system, we need to first determine the forced frequency and natural frequency of the machine. Given that the machine runs at 5000 rpm, we can convert this to Hz by multiplying it by 60, which gives us 300,000 Hz.

We are told that the nearest frequency of the machine must be at least 20% from the forced frequency. Therefore, the nearest frequency must be at least 60,000 Hz away from the forced frequency.

Assuming the machine's mass is 30 kg, we can calculate the natural frequency using the formula:

natural frequency = (1/2π) * √(stiffness/mass)


To design a suitable vibration absorber for the system, we need to calculate the required stiffness of the absorber. This can be done using the formula:

stiffness = (2π * forced frequency)^2 * mass

Once we have determined the required stiffness, we can design the absorber using a spring-mass system. The absorber should have a mass that is equal to or greater than the mass of the machine, and the spring should have the required stiffness.

The absorber should be attached to the machine in a location that will allow it to counteract the vibrations. The absorber should also be designed to have a damping ratio of at least 0.05 to ensure that it does not resonate with the machine.


Once the absorber has been designed and installed, it should be tested to ensure that it is effective in reducing the vibrations of the machine. If necessary, adjustments can be made to the absorber to improve its performance.

It is important to note that the design of a vibration absorber is a complex process that requires careful consideration of various factors, including the mass and stiffness of the machine, the frequency of the vibrations, and the characteristics of the absorber. It is recommended that a qualified engineer be consulted to ensure that the absorber is designed and installed correctly.

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