In a system with different shaft parameters, the longest shaft is taken for calculations.

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For a vibration system having different shaft parameters, calculate which of the following cannot be the diameter of the equivalent shaft if the diameters of shafts in m are: 0.05, 0.06, 0.07.

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A single cylinder oil engine works with a three rotor system, the shaft length is 2.5m and 70mm in diameter, the middle rotor is at a distance 1.5m from one end. Calculate the free torsional vibration frequency for a two node system in Hz if the mass moment of inertia of rotors in Kg-m^2 are: 0.15, 0.3 and 0.09. C=84 kN/mm^2

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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A single cylinder oil engine works with a three rotor system, the shaft length is 2.5m and 70mm in diameter, the middle rotor is at a distance 1.5m from one end. Calculate the free torsional vibration frequency for a single node system in Hz if the mass moment of inertia of rotors in Kg-m^2 are: 0.15, 0.3 and 0.09. C=84 kN/mm^2

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Frequency is independent of the no. of nodes.

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When inertia of gearing is taken into consideration, then an additional shaft must be introduced in the equivalent system of the rotors connected by the shaft.

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For a three rotor system in the figure given below, the length of one shaft(P) is twice the other(Q), then what is the relation between the Mass moment of inertia of the shafts.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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For a two rotor system, the mass moment of inertia of one shaft(A) is twice the other(B), then what is the relation between the length of the shafts.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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For a two rotor system, the length of one shaft(A) is twice the other(B), then what is the relation between the Mass moment of inertia of the shafts.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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In a geared system free torsional vibration will take place when the Inertia of gear is taken into consideration.

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Keeping the mass moment of inertia of left end and the right end shafts in a three rotor system same, if the length of one shaft is doubled what should be the effect on the length of other shaft?

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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In a gearing system, pump speed is one third of the motor. Shaft from motor is 6 cm in diameter and 30cm long, the impellar shaft is 10cm diameter and 60cm long. Mass moment of inertia is 1500 Kg-m^2, C = 80Gn/m^2. Neglecting the inertia of shaft and gears calculate the frequency of free torsional vibrations in Hz.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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Keeping the mass moment of inertia of both the shafts in a two rotor system same, if the length of one shaft is doubled what should be the effect on the length of other shaft?

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A geared system possessed a strain energy if 150kJ, later it was converted into a two-rotor system connected by a shaft. The Strain energy of the equivalent system will be _____

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A geared system possessed a kinetic energy if 200kJ, later it was converted into a two-rotor system connected by a shaft. The kinetic energy of the equivalent system will be_____

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Free torsional vibrations of a single motor system increases with increase in polar moment of inertia.

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A flywheel is mounted on a vertical shaft. The both ends of a shaft are fixed and its diameter is 50 mm. The flywheel has a mass of 500 kg, the modulus of rigidity for the shaft material is 80 GN/m^2 and its radius of gyration is 0.5 m. Find the natural frequency of torsional vibrations.

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At a nodal point in the shaft, the frequency of vibration is _________

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In the given figure, considering PN as one shaft, If the mass moment of inertia is increased to four times, then what will be the effect on free torsional vibrations of a rotor at P?

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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In a three rotor system, for the middle rotor, if the stiffness of both the length either side of the rotor is increased to two times what will be the effect on total stiffness of the middle rotor?

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For occurrence of free torsional vibration in a three rotor system which of the condition is necessary?

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

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the given figure, considering left end has one rotor, If the mass moment of inertia of the shaft till node N1 is increased to four times, then what will be the effect on free torsional vibrations of a rotor at left end of N1?

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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Consider P and Q as the shaft having two rotors at the end of it, what is the point N known as in the given figure?

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For a gearing system, the equivalent system is made consisting of three rotors. How many nodes will this new equivalent system will have?

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For a gearing system, the equivalent system is made consisting of two rotors. How many nodes will this new equivalent system will have?

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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For the free torsional vibration of a geared system which of the following statement is true?

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

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