Can someone please help me rewrite the above to provide the

Can someone please help me rewrite the above to provide the same information?

The measurement of acceleration requires magnitude ratio to be unity. The relative position of the seismic mass is same as the measure of acceleration. To measure the vibration, the amplitude of the displacements that is associated with the vibrations should be provided by the output of the seismic instrument. The output that gives the direction of y_h is the desired and expected behavior of the seismic instruments. For this to happen the movement of output transducer with the vibration object is necessary and the seismic mass should stay stationary. The conditions under which this condition is examined by the amplitude of y_r. Displacement amplitude as a function of the input frequency is shown below: From the figure, we conclude that the seismic instrument that measures the vibration displacement should have higher input frequency and lower natural frequency. The damping ratio remains same as 0.7.

Solution

I am not sure in what way you wanted to rewrite the whole information. I will explain you point wise whatever is happening in the paragraph:

Seismic instruments provide the amplitudes of displacements that occur due to the vibrations of mass. It gives the direction of the displacement aswell.

For this seismic instrument to perform this activity , the vibrating mass should be held stationary with respect to the output transducer of the instrument.

These conditions are examined with the amplitude of instrument Y_r and plotted against the displacement amplitudes.

It was finally concluded that the seismic instrument can measure frequencies that are higher than the natural frequency.