A steel shaft of diameter 2.5 cm and length 1 m is supported at the two ends in bearings. It carries a turbine disc, of mass 20 kg and eccentricity 0.005 m, at the middle and operates at 6000 rpm. The damping in the system neglected. Determine the whirl amplitude of the disc at (a) operating speed, (b) critical speed, and (c) 1.5 times the critical speed.

A steel shaft of diameter 2.5 cm and length 1 m is supported at the two ends in bearings. It carries a turbine disc, of mass 20 kg and eccentricity 0.005 m, at the middle and operates at 6000 rpm. The damping in the system neglected. Determine the whirl amplitude of the disc at (a) operating speed, (b) critical speed, and (c) 1.5 times the critical speed.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A mass of m = 12 kg is suspended by a spring of stiffness of S = 1 KN/m from a fixedsupport. The mass vibrates freely with amplitude of 0.008 m. Ignore the effect of dampingand mass of the spring. Calculatei. The maximum restoring force.ii. The natural frequency.
A rotating machine of 400 kg is similar to the system shown below. It operates at 3600 rpm (note: 1 rpm = 2π/60 rad/s). The machine is unbalanced such that its effect is equivalent to a 4 kg mass located 20 cm from the axis of rotation. An isolator with a spring stiffness of 8x106 N/m and a damping constant of 2x104 Ns/m is placed between the machine and the foundation. Determine the steady state response of the system. Find the force transmitted to the foundation and transmissibility of the isolator. Find the damping ratio of the system ζ . Find the transmissibility of the system, Tf. Find the frequency ratio of the system, β. Find the amplitude of the harmonic excitation force of the system, Fo in Newton (N). Find the displacement amplitude of the steady state response of the system, X in millimeters (mm). Find the damped frequency of the system, ωd in rad/s. Find the force transmitted to the foundation, FT in Newton (N). Find the frequency of the harmonic…
A vibratory system consists of a mass 12.5 kg, a spring of stiffness 1000 N/m, and a dashpot with damping coefficient of 15 Ns/m. The value of critical damping of the system is (a) 0.223 Ns/m (b) 17.88 Ns/m (c) 71.4 Ns/m (d) 223.6 Ns/m
A motor rotates at 750 rev/min and has a moment of inertia of 0.15 kgm2. It drives a load through a gearbox at 250 rev/min with a moment of inertia of 0.25 kgm2. The torque on the load shaft varies sinusoidally with an amplitude of 180 Nm. The speed of the load is to be regulated to ± 4% of the mean by adding a flywheel to the motor shaft. Calculate this moment of inertia to be added and the mass of the flywheel that is a plain disc of radius of 400 mm.
The spring constant of the spring-mass-damper system is k = 5 kN/m, the damping constantcritical value ckr = 200 Ns/m and logarithmic decrement δ = 2. System initial conditionsare x0 = 0 m and v0 = 1 m/s. Determine the damping due to the initial conditionsthe maximum value xmax of the displacement of the characteristic vibration and its moment of occurrence tmax. Specifyresponse, i.e. in this case the values of the variables needed by the station x(t).
A machine of 250 kg mass is supported on springs of total stiffness 100 kN/m. Machine has an unbalanced rotating force of 350 N at speed of 3600 rpm. Assuming a damping factor of 0.15, the value of transmissibility ratio is:
The equation of motion of a one – degree – of – freedom spring – mass – is given as; 6 * + 0.4c x + 3550 x = 0. If the mass of the system is displaced 150 mm and released without an initial velocity, determine the number of cycles executed before the amplitude of displacement is reduced to 10 mm when the damping coefficient is 300 - s/m. Also, determine the critical damping coefficient of the system. -damper system
A damped spring – mass system has a mass of 2 kg, a spring of stiffness 98 N/m and a dashpot with a viscous damping coefficient of 42 Ns/m. If the mass is disturbed by 70 mm and then released from rest, determine the displacement of the mass after 0·12 seconds
A belt pulley is designed as a flywheel. it has a moment of inertia of 100kgm^2 and is supposed to be accelerated from a resting position to a rotational frequency of 600 min^-1 within 15 seconds. you have to calculate the acceleration torque without considering the friction of the bearing
The maximum permissible recoil distance of a gun is specified as 0.5 m. If the initial recoil velocity is to be between 8 m/s and 10 m/s, find the mass of the gun and the spring stiffness of the recoil mechanism. Assume that a critically damped dashpot is used in the recoil mechanism and the mass of the gun has to be at least 500 kg.
An electric motor and its base have a combined mass of M = 12 kg. Each of the four springs attached to the base has a stiffness k =480 kN/m and a viscous damping coefficient c. The unbalance of the motor is equivalent to a mass m =0.005 kg located at the distance e=90mm from the center of the shaft.When the motor is running at ω = 400 rad/s, its steady-state amplitude is 1.8 mm.Determine (a) the damping coefficient of each spring; and (b) the phase anglebetween the displacement of the motor and ωt.
DEPARTMENT OF MECHANICAL ENGINEERINGMENG 331 DYNAMICS OF MACHINERY