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Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a d...
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...
(20%) Problem 3 An industrial machine has a mass of 430 kg and operates at a speed of 1500 rpm. It appears it has a rot...
(20%) Problem 3 An industrial machine has a mass of 430 kg and operates at a speed of 1500 rpm. It appears it has a rotating unbalance of moe-0.8 kg.m. A structural engineer suggested that the maximum transmitted force to the floor is 10000 N. The only isolation available are units, each of 7 x 106 N/m stiffness and a 0.1 damping ratio. a. What is the maximum allowable transmissibility of the force due to the rotating mass to the...
A 200 kg machine is mounted, at first, on an undamed spring. During operation the machine...
A 200 kg machine is mounted, at first, on an undamed spring. During operation the machine has an unbalanced rotating component. When the system is operated at a variety of frequencies the machine had an unbounded response at 40 Hz. At 400 Hz the steady-state amplitude was 3.0 mm. (a) What is the stiffness of the mounting? (b) What is the magnitude of the rotating unbalance? (c) The machine of part (a) is mounted on the same spring in parallel...
. Problem E2-1 An exhaust fan of mass 400 kg is mouned on an elastic support...
. Problem E2-1 An exhaust fan of mass 400 kg is mouned on an elastic support having a spring constant of 80 kN/m and a damping ratio of 2%. If the fan has a rotating unbalance of 0.15 kg-m and operates at 1,800 rpm, determine (a) the steady-state amplitude of vibration of the fan (b) the force transmitted to the ground; (c) the new spring constant of the elastic support such that there is no more than 50% of the...
A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform...
A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform that is supported by 4 spring-damper isolators (each isolator is composed of a spring and damper) for which cach spring constant is 13245 N/m. When the motor runs, it runs at a constant speed of 1750 rpm. The compressor piston has a 50 mm stroke (double its eccentricity). The piston and reciprocating parts have a mass of 0.5 kg, and the motion of the...
7 points| Consider a machine with rotating unbalance as described in Figure 1. At resonance, the ...
7 points| Consider a machine with rotating unbalance as described in Figure 1. At resonance, the maximum deflection is measured to be 0.1m. From manufacturing data, the out of balance mass, mo, is estimated to be 10% of the total mass m and the radius e is estimated to be 0.2m Guide Guide x(t) Machine of total mass mn Friction-free surface Rubber floor mounting modeled as a spring and a damper Figure 1: A model of rotation unbalance (a) Determine...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber pads connected in series. Each layer has an equivalent stiffness of 80 KN/m. The machine has an unbalanced rotating element of 0.025 kg.m. The velocity amplitude at resonance is found to be 5 mm/sec. 1. Generally, deduce the equation of motion showing clearly the free body diagram. [30 marks] 2. Derive the particular solution and its velocity. [20 marks 3. Using the data mentioned...
Q-3 (25 pts) An industrial machine of total mass M-600 kg is supported on springs with a static d...
Q-3 (25 pts) An industrial machine of total mass M-600 kg is supported on springs with a static deflection of 5.9 mm. The machine has a rotating unbalance of m40 kg (part of the total mass) at an effective eccentricity of es3.0 mm. Determine the amplitude of resulting vibration and phase angle when the unbalance rotates at -350 rpm. The system is damped with a dashpot of ce 15000 Ns/m. M Consider only vertical effects
Q-3 (25 pts) An industrial...
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?...
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...
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...
(20%) Problem 3 An industrial machine has a mass of 430 kg and operates at a speed of 1500 rpm. It appears it has a rotating unbalance of moe-0.8 kg.m. A structural engineer suggested that the maximum transmitted force to the floor is 10000 N. The only isolation available are units, each of 7 x 106 N/m stiffness and a 0.1 damping ratio. a. What is the maximum allowable transmissibility of the force due to the rotating mass to the...
A 200 kg machine is mounted, at first, on an undamed spring. During operation the machine has an unbalanced rotating component. When the system is operated at a variety of frequencies the machine had an unbounded response at 40 Hz. At 400 Hz the steady-state amplitude was 3.0 mm. (a) What is the stiffness of the mounting? (b) What is the magnitude of the rotating unbalance? (c) The machine of part (a) is mounted on the same spring in parallel...
. Problem E2-1 An exhaust fan of mass 400 kg is mouned on an elastic support having a spring constant of 80 kN/m and a damping ratio of 2%. If the fan has a rotating unbalance of 0.15 kg-m and operates at 1,800 rpm, determine (a) the steady-state amplitude of vibration of the fan (b) the force transmitted to the ground; (c) the new spring constant of the elastic support such that there is no more than 50% of the...
A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform that is supported by 4 spring-damper isolators (each isolator is composed of a spring and damper) for which cach spring constant is 13245 N/m. When the motor runs, it runs at a constant speed of 1750 rpm. The compressor piston has a 50 mm stroke (double its eccentricity). The piston and reciprocating parts have a mass of 0.5 kg, and the motion of the...
7 points| Consider a machine with rotating unbalance as described in Figure 1. At resonance, the maximum deflection is measured to be 0.1m. From manufacturing data, the out of balance mass, mo, is estimated to be 10% of the total mass m and the radius e is estimated to be 0.2m Guide Guide x(t) Machine of total mass mn Friction-free surface Rubber floor mounting modeled as a spring and a damper Figure 1: A model of rotation unbalance (a) Determine...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber pads connected in series. Each layer has an equivalent stiffness of 80 KN/m. The machine has an unbalanced rotating element of 0.025 kg.m. The velocity amplitude at resonance is found to be 5 mm/sec. 1. Generally, deduce the equation of motion showing clearly the free body diagram. [30 marks] 2. Derive the particular solution and its velocity. [20 marks 3. Using the data mentioned...
Q-3 (25 pts) An industrial machine of total mass M-600 kg is supported on springs with a static deflection of 5.9 mm. The machine has a rotating unbalance of m40 kg (part of the total mass) at an effective eccentricity of es3.0 mm. Determine the amplitude of resulting vibration and phase angle when the unbalance rotates at -350 rpm. The system is damped with a dashpot of ce 15000 Ns/m. M Consider only vertical effects
Q-3 (25 pts) An industrial...
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?...
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...
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