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

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

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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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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.

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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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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

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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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In which of the following condition torsional vibration will not take place, considering 3 rotors A, B and C. A is rotating in clockwise direction.

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If the polar moment of inertia is increased to four times, then what will be the effect on free torsional vibrations of a single motor system?

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If the length inertia is decreased to nine times, then what will be the effect on free torsional vibrations of a single motor system?

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If the mass moment of inertia is increased to four times, then what will be the effect on free torsional vibrations of a single motor system?

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In a three rotor system, free torsional vibration cannot occur if there is only one node.

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

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

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

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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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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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Free torsional vibrations will occur in a three rotor system only if all rotors have same frequency.

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Free torsional vibrations will occur in a two rotor system only if both rotors have same frequency.

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If the pinion has 20 teeth and the gear has 32 teeth, then what is the gear ratio?

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Increasing which of the following factor would result in increase of free torsional vibration?

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

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In a two rotor system, torsional vibration occurs only if the rotors are moving in the same direction.

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

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