An air compressor of mass 120 kg is mounted on an elastic foundation. It has been...
An air compressor of mass 120 kg is mounted on an elastic foundation. It has been observed that, when a harmonic force of amplitude 120 N is applied to the compressor, the maximum steady-state displacement of 5 mm occurred at a frequency of 320 r/min. Determine the equivalent stiffness and damping constant of the foundation.
Homework Answers
Add Answer to:
An air compressor of mass 120 kg is mounted on an elastic foundation. It has been...
6- An air compressor of mass 50 kg is mounted on an elastic support and operates...
6- An air compressor of mass 50 kg is mounted on an elastic support and operates at a speed of 1000 rpm. It has an unbalanced mass of 2 kg at a radial distance (eccentricity) of 0.1 m from the axis of rotation. If the damping factor of the clastic support is 3 = 0.1, determine the following: (a) the spring constant of the elastic support which transmits no more than 25% of the unbalanced force to the foundation, and...
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a...
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a vibrations damper. It is known that a machine with a rotating unbalance experiences a frequency squared harmonic excitation. The magnitude of the rotating unbalance is A = m,e = 0.3 [kg. m). 1. Calculate the nondimensional function for the state that has a steady state amplitude of 10 [mm] at a 90 [rad/s] speed. 2- Determine the frequency ratio, natural frequency, and the beams...
When a 40-kg machine is placed on an elastic foundation, its free vibrations appear to decay...
When a 40-kg machine is placed on an elastic foundation, its free vibrations appear to decay exponentially with a frequency of 91.7 rad/s. When a 60-kg machine is placed on the same foundation, the frequency of the exponentially decaying oscillations is 75.5 rad/s. Determine the equivalent stiffness and equivalent viscous damping coefficient for the foundation.
Question 4. The shaft of a single-cylinder high-speed air compressor is coupled to a heavy flywheel...
Question 4. The shaft of a single-cylinder high-speed air compressor is coupled to a heavy flywheel whose moment of inertia may be assumed infinite. The equivalent moment of inertia of the compressor is 0.4 kg.m2. The existence of a forth harmonic of amplitude 7 Nm in the compressor torque curve is responsible for a critical speed at 480 rev/min, the maximum deflection of the shaft being restricted by viscous damping influences to 20 Find the vibration amplitude produced at 300...
Question 4 The shaft of a single-cylinder high-specd air compressor is coupled to a heavy flywheel...
Question 4 The shaft of a single-cylinder high-specd air compressor is coupled to a heavy flywheel whose moment of inertia may be assumed infinite. The equivalent moment of incrtia of the compressor is 0.4 kg.m2. The existence of a forth harmonic of amplitude 7 Nm in the compressor torque curve is responsible for a critical speed at 480 rev/min, the maximum deflection of the shaft being restricted by viscous damping influences to 2 Find the vibration amplitude produced at 300...
A 120 kg machine is mounted at the mid-span of a 15 m long simply connected...
A 120 kg machine is mounted at the mid-span of a 15 m long simply connected beam of E =200 x 106 N/m2 and I = 1.53 x 10-4 m4. An experiment is run on the system during which the machine is subject to a harmonic excitation of magnitude 2000 N at a variety of excitation frequencies. The largest steady state amplitude recorded is 2.5 mm. Estimate the damping ratio of the system.
Question 4 The shaft of a single-cylinder high-speed air compressor is coupled moment of inertia may...
Question 4 The shaft of a single-cylinder high-speed air compressor is coupled moment of inertia may be assumed infinite. The equivalent moment of inertia of the compressor is 0.4 kg.m2. The existence of a forth harmonic of amplitude 7 Nm in the compressor torque curve is responsible for a critical speed at 480 rev/min, the maximum deflection of the shaft being restricted by viscous damping influences to 2° Find the vibration amplitude produced at 300 rev/min by a sixth order...
QUESTION 6 130 MARKS For a vibrating system, the body mass is 10 kg, stiffness is 2.5 kN/m, and damping constant is 45...
QUESTION 6 130 MARKS For a vibrating system, the body mass is 10 kg, stiffness is 2.5 kN/m, and damping constant is 45 Ns/m. A harmonic force of amplitude 180 N and frequency 3.5 Hz acts on the mass. If the initial displacement and velocity of the mass are 15 mm and 5 m/s, compute the complete solution representing the motion of the mass. 45 (30 Marks)
QUESTION 6 130 MARKS For a vibrating system, the body mass is 10...
3. A compressor of mass 700 kg has undamped spring mountings which deflect by 0.5 mm...
3. A compressor of mass 700 kg has undamped spring mountings which deflect by 0.5 mm under its weight. This compressor, on its mountings, is installed on a flexible floor whose mass of 1400 kg may be considered as concentrated below the compressor. The floor has negligible damping. The highest natural frequency of vertical vibration of this combined system must not exceed 1.5 times that of the compressor with its spring mountings on a rigid foundation. Find a suitable value...
Problem 2) (50 points) An actuator with a mass of 20 kg is mounted on a...
Problem 2) (50 points) An actuator with a mass of 20 kg is mounted on a helicopter body which can assumed to be rigid. The actuator vibrates at a frequency of 100Hz and it can provide displacement with an amplitude of 3mm for a large range of frequencies. The connection between the actuator and the helicopter is known to have a damping ratio of 0.1 and a stiffness of 10 kN/m. a) What is the force generated by the sensor?...
6- An air compressor of mass 50 kg is mounted on an elastic support and operates at a speed of 1000 rpm. It has an unbalanced mass of 2 kg at a radial distance (eccentricity) of 0.1 m from the axis of rotation. If the damping factor of the clastic support is 3 = 0.1, determine the following: (a) the spring constant of the elastic support which transmits no more than 25% of the unbalanced force to the foundation, and...
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a vibrations damper. It is known that a machine with a rotating unbalance experiences a frequency squared harmonic excitation. The magnitude of the rotating unbalance is A = m,e = 0.3 [kg. m). 1. Calculate the nondimensional function for the state that has a steady state amplitude of 10 [mm] at a 90 [rad/s] speed. 2- Determine the frequency ratio, natural frequency, and the beams...
Question 4. The shaft of a single-cylinder high-speed air compressor is coupled to a heavy flywheel whose moment of inertia may be assumed infinite. The equivalent moment of inertia of the compressor is 0.4 kg.m2. The existence of a forth harmonic of amplitude 7 Nm in the compressor torque curve is responsible for a critical speed at 480 rev/min, the maximum deflection of the shaft being restricted by viscous damping influences to 20 Find the vibration amplitude produced at 300...
Question 4 The shaft of a single-cylinder high-specd air compressor is coupled to a heavy flywheel whose moment of inertia may be assumed infinite. The equivalent moment of incrtia of the compressor is 0.4 kg.m2. The existence of a forth harmonic of amplitude 7 Nm in the compressor torque curve is responsible for a critical speed at 480 rev/min, the maximum deflection of the shaft being restricted by viscous damping influences to 2 Find the vibration amplitude produced at 300...
Question 4 The shaft of a single-cylinder high-speed air compressor is coupled moment of inertia may be assumed infinite. The equivalent moment of inertia of the compressor is 0.4 kg.m2. The existence of a forth harmonic of amplitude 7 Nm in the compressor torque curve is responsible for a critical speed at 480 rev/min, the maximum deflection of the shaft being restricted by viscous damping influences to 2° Find the vibration amplitude produced at 300 rev/min by a sixth order...
QUESTION 6 130 MARKS For a vibrating system, the body mass is 10 kg, stiffness is 2.5 kN/m, and damping constant is 45 Ns/m. A harmonic force of amplitude 180 N and frequency 3.5 Hz acts on the mass. If the initial displacement and velocity of the mass are 15 mm and 5 m/s, compute the complete solution representing the motion of the mass. 45 (30 Marks)
QUESTION 6 130 MARKS For a vibrating system, the body mass is 10...
3. A compressor of mass 700 kg has undamped spring mountings which deflect by 0.5 mm under its weight. This compressor, on its mountings, is installed on a flexible floor whose mass of 1400 kg may be considered as concentrated below the compressor. The floor has negligible damping. The highest natural frequency of vertical vibration of this combined system must not exceed 1.5 times that of the compressor with its spring mountings on a rigid foundation. Find a suitable value...
Problem 2) (50 points) An actuator with a mass of 20 kg is mounted on a helicopter body which can assumed to be rigid. The actuator vibrates at a frequency of 100Hz and it can provide displacement with an amplitude of 3mm for a large range of frequencies. The connection between the actuator and the helicopter is known to have a damping ratio of 0.1 and a stiffness of 10 kN/m. a) What is the force generated by the sensor?...
Most questions answered within 3 hours.
-
Describe two obstacles that makes fixing atmospheric nitrogen
difficult.
asked 19 minutes ago -
Evelyn incorporates her sole proprietorship, transferring it to
newly formed Papaya Corporation. The assets transferred have...
asked 5 minutes ago -
Assume that in a hydrogen atom, the electron circles the nucleus
in a circle of radius...
asked 14 minutes ago -
A
752 mL sample of water was placed in a 1000 gram pan of aluminum.
The...
asked 7 minutes ago -
1 point) Given the significance level α=0.01 find the following:
(a) left-tailed z value z= (b)...
asked 8 minutes ago -
Calculate the expected value, the variance, and the standard
deviation of the given random variable X....
asked 10 minutes ago -
T
F 53) Most differences
between human groups are the result of biology rather than
culture....
asked 23 minutes ago -
A 5.20 mW helium neon laser emits a visible laser beam with a
wavelength of 633...
asked 26 minutes ago -
Assignment:
Your
organization has made a strategic decision
to
outsourcework
currently performed in house. You have...
asked 25 minutes ago -
A hospital performs 100 surgeries per week. The probability that
complications after surgery occur is 10%....
asked 26 minutes ago -
In preparing its cash flow statement for the year ended December
31, 2018, Green Co. gathered...
asked 28 minutes ago -
Donna is 18 years old and full time accounting student.She is
saving for an overseas holiday...
asked 28 minutes ago