Question

A machine of mass one tonne is acted upon by an external force of 2450 N at a frequency of 1500 rpm. To reduce the effects of vibration, isolator of rubber having a static deflection of 2mm under the machine load and an estimated damping factor = 0.2 are used. Determine
1. The force transmitted to the foundation
2. The amplitude of vibration of the machine
3. The phase lag

Answer 1

Answer:

1.The spring or elastic force and the damping force are the two perpendicular forces that make up the transmitted force. This occurs because the damper and spring are both utilised to reduce vibrations.

2. The amplitude of vibration is the distance of movement of the wave from its original or equilibrium position . It is usually calculated as the half of the vibration distance .

3. The relative time difference between two sinusoidal functions is measured by a phase. One of these functions is the phase lag, which is a negative phase shift that happens when a waveform is delayed in relation to another waveform and occurs when a system reaction lags behind a signal.

Explanation:

Step : 1  The ratio |FT|/|F|, or the total response force divided by the applied force, is used to express the force transmissibility. The ratio of two separate output spectra is the conventional definition of the transmissibility function. It is preferable to divide the system coordinates for an MDOF system into three groups.

Step : 2  The coefficient of permeability is the amount of water that flows through a given cross-sectional area at a given hydraulic gradient. The coefficient of transmissibility is the rate at which water moves through a vertical section of the aquifer with a unit width and a full depth and a unit hydraulic gradient.

Step : 3  In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating body or wave may move relative to its equilibrium location. It is equivalent to the vibration path's half-length. A sound wave's amplitude measures the height of the wave. When a sound is made, the greatest displacement of the medium's vibrating particles from their mean location determines the amplitude of the sound wave.

Step : 4 The relative time difference between two sinusoidal functions is measured by a phase. One of these functions is the phase lag, which is a negative phase shift that happens when a waveform is delayed in relation to another waveform and occurs when a system reaction lags behind a signal.

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