Vibrometer - Engineering Assignment Help

Assignment Task

Question No. 1

A vibrometer is used to measure the vibration of an engine whose operating-speed range is from 500 to 2000 rpm. The vibration consists of two harmonics. The amplitude distortion must be less than 3 percent. Find the natural frequency of the vibrometer if

(a) the damping is negligible and

(b) the damping ratio is 0.6. Answer- Speed range 500 to 2000rp Aptitude distortion must be less than 3 percent

Question No. 2

(a) What is the difference between a discrete and a continuous system? Is it possible to solve any vibration problem as a discrete one?

(b) How can we obtain the frequency, phase, and amplitude of a harmonic motion from the corresponding rotating vector?

Question No. 3

One end of a helical spring is fixed and the other end is subjected to five different tensile forces. The lengths of the spring measured at various values of the tensile forces are given below: Tensile force F (N) 0 100 250 330 480 570 Total length of the spring (mm) 150 163 183 194 214 226

Question No. 4

(a.) Prove that Rayleigh s quotient is never higher than the highest eigenvalue.

(b.) A simplified diagram of an overhead traveling crane is shown in Fig. below. The girder, with square cross section, and the wire rope, with circular cross section, are made up of steel. Design the girders and the wire rope such that the natural frequencies of the system are greater than the operating speed, 1500 rpm, of an electric motor located in the trolley.

Question No.5

(a.) What is the principle of mode superposition? What is its use in modal analysis?

(b.) A vibration pickup has a natural frequency of 5 Hz and a damping ratio of ?=0.5 Find the lowest frequency that can be measured with a 1 percent error.

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